From: couturie Date: Wed, 17 Oct 2012 07:03:31 +0000 (+0200) Subject: add chapter1, des trucs à régler X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/book_gpu.git/commitdiff_plain/603de475bd7e71bea3d4fff8642b99f9350ce0b7?ds=sidebyside;hp=74573ba508001fe69efde16e8f22451de2fa0fec add chapter1, des trucs à régler --- diff --git a/BookGPU/BookGPU.tex b/BookGPU/BookGPU.tex index a144a18..8862b97 100755 --- a/BookGPU/BookGPU.tex +++ b/BookGPU/BookGPU.tex @@ -12,6 +12,9 @@ \usepackage{color} \usepackage[sectionbib]{bibunits} \usepackage{multicol} +\usepackage{alltt} + + \frenchspacing \tolerance=5000 @@ -22,6 +25,9 @@ \makeatother +\newtheorem{proposition}{Proposition} +\newtheorem{proof}{Proof} + @@ -101,7 +107,7 @@ \part{This is a Part} \include{Chapters/chapter1/ch1} \include{Chapters/chapter2/ch2} -%\include{Chapters/chapter3/ch3} +\include{Chapters/chapter11/ch11} \bibliographystyle{hep} %%%\bibliography{biblio} diff --git a/BookGPU/Chapters/chapter11/biblio11.bib b/BookGPU/Chapters/chapter11/biblio11.bib new file mode 100644 index 0000000..a39c5ce --- /dev/null +++ b/BookGPU/Chapters/chapter11/biblio11.bib @@ -0,0 +1,16745 @@ +@article{Yohai, + author = {Alvarez, E. and Yohai, V.}, + title = {M-estimators for isotonic regression}, + journal = {J. Stat. Planning and Inference}, + volume = {142}, + pages = {2351-2368}, + year = {2012} +} + +@article{Wang, + author = {Wang, Y. and Huang, J.}, + title = {Limiting distribution for monotone median regression}, + journal = {J. Stat. Planning and Inference}, + volume = {108}, + pages = {281-287}, + year = {2002} +} + +@article{tridiag_GPU, + author = {G\"ddeke , D. and Strzodka, R.}, + title = {Cyclic Reduction Tridiagonal Solvers on {GPU}s Applied to Mixed Precision Multigrid}, + journal = { IEEE Transactions on Parallel and Distributed Systems}, + volume = {22}, + pages = {22-32}, + year = {2011} +} + +@misc{Maplemanual, + title = {Maple User Manual}, + publisher = {Maplesoft}, + year = {2006} +} + +@misc{Mathmaticamanual, + title = {Mathematica User Manual}, + publisher = {Wolfram Research }, + year = {2006} +} + +@misc{Matlabmanual, + title = { Matlab user manual}, + publisher = {Mathworks}, + year = {2006} +} + + title = {http://www.nvidia.com/object/cuda_home.html}, + year = {2008} +} + +@article{sabo-ret, + author = {\v Sabo, M. and Koles\'arov\'a, A. and Varga, \v S. }, + title = {{RET} operators generated by triangular norms and copulas}, + journal = {Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems}, + volume = {9 }, + year = {2001} +} + +@inproceedings{Abbas2011, + author = {Abbas, M. and Majid, A.A. and Awang, M.N.H. and Ali, J.M.}, + title = {Monotonicity Preserving Interpolation using Rational Spline}, + booktitle = {International MultiConference of Engineers and Computer Scientists (IMECS '11)}, + address = {Hong Kong}, + volume = {1}, + pages = {278–282}, + year = {2011} +} + +@article{abel1826, + author = {Abel, N.H.}, + title = {Untersuchungen der Funktionen zweier unabh\"angigen ver\"anderlichen Gr\"ossen $x$ und $y$ wie $f(x, y)$, welche die Eigenschaft haben, dass $f(z, f(x, y))$ eine symmetrische Funktion von $x, y$ und $z$ ist.}, + journal = {J. Reine Angew. Math.}, + volume = {1}, + pages = {11-15}, + year = {1826} +} + + author = {Abraham, A. and Nath, B.}, + title = {Optimal Design of Neural Nets Using Hybrid Algorithms}, + booktitle = {6th Pacific Rim International Conference on Artificial Intelligence}, + address = {Melbourne}, + publisher = {Springer Verlag}, + pages = {510-520}, + year = {2000} +} + + author = {Abraham, A. and Nath, B.}, + title = {ALEC -An Adaptive Learning Framework for Optimizing Artificial Neural Networks}, + booktitle = {Computational Science}, + editor = {Alexandrov, V. N.}, + publisher = {Springer-Verlag}, + address = {San Francisco, USA}, + pages = {171-180}, + year = {2001} +} + +@book{Abramowitz1981, + author = {Abramowitz, M. and Stegun, A.}, + title = {Handbook of mathematical functions with formulas, graphs, and mathematical tables}, + publisher = {National Bureau of Standards}, + address = {Washington}, + year = {1981} +} + +@article{Acerbi2002_EN, + author = {Acerbi, C. and Tasche, D.}, + title = {Expected Shortfall: a natural coherent alternative to Value at Risk}, + journal = {Economic Notes}, + volume = {31}, + pages = {379-388}, + year = {2002} +} + +@article{Aczel1948, + author = {Aczel, J.}, + title = {On mean values}, + journal = {Bulletin of the American Math. Society}, + volume = {54}, + year = {1948} +} + +@book{Aczel1966, + author = {Aczel, J.}, + title = {Lectures on Functional Equations and their Applications}, + publisher = {Academic Press}, + address = {New York}, + year = {1966} +} + +@book{Aczel1969_book, + author = {Aczel, J.}, + title = {On Applications and Theory of Functional Equations}, + publisher = {Academic Press}, + address = {New York}, + year = {1969} +} + +@article{Aczel-Alsina1984, + author = {Aczel, J. and Alsina, C.}, + title = {Characterization of some classes of quasilinear functions with applications to triangular norms and to synthesizing judgements}, + journal = {Methods Oper. Res.}, + volume = {48}, + pages = {3-22}, + year = {1984} +} + + author = {Adams, M.J.}, + title = {Chemometrics in Analytical Spectroscopy}, + publisher = {Royal Society of Chemistry}, + address = {London}, + series = {RSC Analytical Spectroscopy Monographs}, + keywords = {graduate text +standard review +standard text +chemometrics}, + year = {1995} +} + + author = {Addis, B. and Locatelli, M.}, + title = {A new class of test functions for global optimization}, + institution = {Università degli Studi di Firenze}, + number = {DSI 4-2005}, + year = {2005} +} + + author = {Adjiman, C. S. and Androulakis, I. P. and Floudas, C. A.}, + title = {Global Optimization of Minlp Problems in Process Synthesis and Design}, + journal = {Computers and Chemical Engineering}, + volume = {21}, + number = {Suppl S}, + pages = {S 445-S 450}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA}, + abstract = {Two new methodologies for the global optimization of MINLP models, the Special structure Mixed Integer Nonlinear alpha BB, SMIN-alpha BB, and the General structure Mixed Integer Nonlinear alpha BB, GMIN-alpha BB, are presented. Their theoretical foundations provide guarantees that the global optimum solution of MINLPs involving twice-differentiable nonconvex functions in the continuous variables can be identified. The conditions imposed on the functionality of the binary variables differ for each method: linear and mixed bilinear terms can be treated with the SMIN-alpha BB; mixed nonlinear terms whose continuous relaxation is twice-differentiable are handled by the GMIN-alpha BB. While both algorithms use the concept of a branch and bound tree, they rely on fundamentally different bounding and branching strategies. In the GMIN-alpha BB algorithm, lower (upper) bounds at each node result from the solution of convex (nonconvex) MINLPs derived from the original problem. The construction of convex lower bounding MINLPs, using the techniques recently developed for the generation of valid convex underestimators for twice-differentiable functions (Adjiman et al., 1996; Adjiman and Floudas, 1996), is an essential task as it allows to solve the underestimating problems to global optimality using the GBD algorithm or the OA algorithm, provided that the binary variables participate separably and linearly. Moreover, the inherent structure of the MINLP problem can be fully exploited as branching is performed on the binary and the continuous variables. In the case of the SMIN-alpha BB algorithm, the lower and upper bounds are obtained by solving continuous relaxations of the original MINLP. Using the alpha BB algorithm, these nonconvex NLPs are solved as global optimization problems and hence valid lower bounds are generated. Since branching is performed exclusively on the binary variables, the maximum size of the branch-and-bound tree is smaller than that for the SMIN-alpha BB. The two proposed approaches are used to generate computational results on various nonconvex MINLP problems that arise in the areas of Process Synthesis and Design. [References: 26]}, + keywords = {Integer nonlinear programs. Outer-approximation. Decomposition. +Strategy. +Chemical engineering.}, + year = {1997} +} + + author = {Adjiman, C. S. and Androulakis, I. P. and Floudas, C. A.}, + title = {A Global Optimization Method, Alpha-Bb, for General Twice-Differentiable Constrained Nlps - Ii - Implementation and Computational Results}, + journal = {Computers and Chemical Engineering}, + volume = {22}, + number = {9}, + pages = {1159-1179}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA}, + abstract = {Part I of this paper (Adjiman et al., 1998a) described the theoretical foundations of a global optimization algorithm, the alpha BB algorithm, which can be used to solve problems belonging to the broad class of twice-differentiable NPLs. For any such problem, the ability to automatically generate progressively tighter convex lower bounding problems at each iteration guarantees the convergence of the branch-and-bound alpha BB algorithm to within epsilon of the global optimum solution. Several methods were presented for the construction of valid convex underestimators for general nonconvex functions. In this second part, the performance of the proposed algorithm and its alternative underestimators is studied through their application to a variety of problems. An implementation of the alpha BB is described and a number of rules for branching variable selection and variable bound updates are shown to enhance convergence rates. A user-friendly parser facilitates problem input and provides flexibility in the selection of an underestimating strategy. In addition, the package features both automatic differentiation and interval arithmetic capabilities. Making use of all the available options, the alpha BB algorithm successfully identifies the global optimum solution of small literature problems, of small and medium size chemical engineering problems in the areas of reactors network design, heat exchanger network design, reactor-separator network design, of generalized geometric programming problems for design and control, and of batch process design problems with uncertainty. (C) 1998 Elsevier Science Ltd. All rights reserved. [References: 22]}, + keywords = {Design. +Chemical engineering.}, + year = {1998} +} + + author = {Adjiman, C. S. and Androulakis, I. P. and Floudas, C. A.}, + title = {Global optimization of mixed-integer nonlinear problems}, + journal = {AICHE Journal}, + volume = {46}, + number = {9}, + pages = {1769-1797}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Floudas CA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA 0007 AICHE J}, + abstract = {Two novel deterministic global optimization algorithms for nonconvex mixed-integer problems (MINLPs) are proposed, using the advances of the alpha BB algorithm for nonconvex NLPs of Adjiman et al. the special structure mixed-integer alpha BB algorithm (SMIN-alpha BB) addresses problems with nonconvexities in the continuous variables and linear and mixed-bilinear participation of the binary variables. The general structure mixed-integer alpha BB algorithm (GMIN-alpha BB) is applicable to a very general class of problems for which the continuous relaxation is twice continuously differentiable. Both algorithms are developed using the concepts of branch-and-bound, but they differ in their approach to each of the required steps. The SMIN-alpha BB algorithm is based on the convex underestimation of the continous functions, while the GMIN-alpha BB algorithm is centered around the convex relaxation of the entire problem. Both algorithms rely on optimization or interval-based variable-bound updates to enhance efficiency. A series of medium-size engineering applications demonstrates the performance of the algorithms. Finally, a comparison of the two algorithms on the same problems highlights the value of algorithms that can handle binary or integer variables without reformulation. [References: 58] 58}, + keywords = {Differentiable constrained nlps. Nonconvex minlp problems. Alpha-bb. +Bound algorithm. Process design. Branch. Strategy. Systems. +Programs. Models. +Chemical Engineering in Current Contents(R)/Engineering, Computing and +Technology. +2000 week 42 +Reprint available from: Floudas CA. Princeton Univ, Dept Chem Engn, +Princeton, NJ 08544, USA, .}, + year = {2000} +} + + author = {Adjiman, C. S. and Androulakis, I. P. and Maranas, C. D. and Floudas, C. A.}, + title = {A Global Optimization Method, Alpha-Bb, for Process Design}, + journal = {Computers and Chemical Engineering}, + volume = {20}, + number = {Suppl A}, + pages = {S 419-S 424}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0071}, + abstract = {A global optimization algorithm, alpha BB, for twice-differentiable NLPs is presented. It operates within a branch-and-bound framework and requires the construction of a convex lower bounding problem. A technique to generate such a valid convex underestimator for arbitrary twice-differentiable functions is described. The alpha BB has been applied to a variety of problems and a summary of the results obtained is provided. [References: 17] 17}, + keywords = {Chemical engineering. +Reprint available from: Floudas CA. PRINCETON UNIV, DEPT CHEM ENGN, +PRINCETON, NJ 08544, USA.}, + year = {1996} +} + + author = {Adjiman, C. S. and Dallwig, S. and Floudas, C. A. and Neumaier, A.}, + title = {A Global Optimization Method, Alpha-Bb, for General Twice-Differentiable Constrained Nlps - I - Theoretical Advances}, + journal = {Computers and Chemical Engineering}, + volume = {22}, + number = {9}, + pages = {1137-1158}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA UNIV VIENNA INST MATH A-1090 VIENNA AUSTRIA}, + abstract = {In this paper, the deterministic global optimization algorithm, alpha BB (alpha-based Branch and Bound) is presented. This algorithm offers mathematical guarantees for convergence to a point arbitrarily close to the global minimum for the large class of twice-differentiable NLPs. The key idea is the construction of a converging sequence of upper and lower bounds on the global minimum through the convex relaxation of the original problem. This relaxation is obtained by (i) replacing all nonconvex terms of special structure (i.e., bilinear, trilinear, fractional, fractional trilinear, univariate concave) with customized tight convex lower bounding functions and (ii) by utilizing some alpha parameters as defined by Maranas and Floudas (1994b) to generate valid convex underestimators for nonconvex terms of generic structure. In most cases, the calculation of appropriate values for the alpha parameters is a challenging task. A number of approaches are proposed, which rigorously generate a set of alpha parameters for general twice-differentiable functions. A crucial phase in the design of such procedures is the use of interval arithmetic on the Hessian matrix or the characteristic polynomial of the function being investigated. Thanks to this step, the proposed schemes share the common property of computational tractability and preserve the global optimality guarantees of the algorithm. However, their accuracy and computational requirements differ so that no method can be shown to perform consistently better than others for all problems. Their use is illustrated on an unconstrained and a constrained example. The second part of this paper (Adjiman et al., 1998) is devoted to the discussion of issues related to the implementation of the alpha BB algorithm and to extensive computational studies illustrating its potential applications. (C) 1998 Elsevier Science Ltd. All rights reserved. [References: 38]}, + keywords = {Nonconvex nlps. Algorithm gop. +Chemical engineering.}, + year = {1998} +} + +@article{Taylor2008_AMSG, + author = {Adler, R. and Ewing, J. and Taylor, P.}, + title = {Joint committee on quantitative assessment of research: citation statistics}, + journal = {Australian Mathematical Society Gazette}, + volume = {35}, + pages = {166-188}, + year = {2008} +} + +@article{Agullo2001_CSDA, + author = {Agull\'o, José}, + title = {New algorithms for computing the least trimmed squares regression estimator}, + journal = {Computational Statistics and Data Analysis}, + volume = {36}, + number = {4}, + pages = {425-439}, + note = {0167-9473 +doi: DOI: 10.1016/S0167-9473(00)00056-6}, + keywords = {Least trimmed squares +Multiple linear regression +Outliers +High breakdown point +Branch and bound +Exchange algorithm}, + year = {2001} +} + +@article{Agullo2008_JMA, + author = {Agull\'o, Jose and Croux, Christophe and Van Aelst, Stefan}, + title = {The multivariate least-trimmed squares estimator}, + journal = {Journal of Multivariate Analysis}, + volume = {99}, + number = {3}, + pages = {311-338}, + note = {0047-259X +doi: DOI: 10.1016/j.jmva.2006.06.005}, + keywords = {Multivariate regression +Breakdown point +Influence function +Minimum covariance determinant estimator}, + year = {2008} +} + +@phdthesis{Agullo_thesis, + author = {Agullo, J.}, + title = {Computación de estimadores con alto punto de ruptura}, + university = {University of Alicante}, + year = {1997} +} + +@book{ANW1967, + author = {Ahlberg, J.H. and Nilson, E.N. and Walsh, J.L.}, + title = {The theory of splines and their applications}, + publisher = {Academic Press Inc.}, + address = {New York}, + volume = {38}, + year = {1967} +} + +@article{Ahn2006_TFS, + author = {Ahn, B.S.}, + title = {On the oroperties of {OWA} operator weights functions with constant level of orness}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {14}, + pages = {511-515}, + year = {2006} +} + +@book{Akl1990, + author = {Akl, S.G.}, + title = {Parallel Sorting Algorithms}, + publisher = {Academic Press, Inc.}, + address = {Orlando}, + year = {1990} +} + +@incollection{Alfeld1989_inbook, + author = {Alfeld, P.}, + title = {Scattered Data Interpolation in Three or More Variables}, + booktitle = {Mathematical Methods in Computer Aided Geometric Design}, + editor = {Schumaker, L.L. and Lyche, T.}, + publisher = {Academic Press}, + address = {New York}, + pages = {1-34}, + year = {1989} +} + +@incollection{Alfeld1989, + author = {Alfeld, Peter}, + title = {Scattered data interpolation in three or more variables}, + booktitle = {Mathematical methods in computer aided geometric design}, + editor = {Lyche, T. and Schumaker, L.L.}, + publisher = {Academic Press Professional, Inc.}, + pages = {1-33}, + year = {1989} +} + +@article{AlFuriahIEEE, + author = {Al-Furiah, I. and Aluru, S. and Goil, S. and Ranka, S.}, + title = {Practical algorithms for selection on coarse-grained parallel computers}, + journal = {IEEE Transactions on Parallel and Distributed Systems}, + volume = {8}, + pages = {813-824}, + keywords = {hypercube networks +parallel algorithms +randomised algorithms +resource allocation +CM-5 +coarse-grained parallel computers +communication overhead +deterministic algorithms +distributed memory parallel computers +load balancing +randomization +randomized algorithms}, + year = {1997} +} + + author = {Alig, I. and Floudas, G. and Avgeropoulos, A. and Hadjichristidis, N.}, + title = {Junction Point Fluctuations in Microphase Separated Polystyrene-Polyisoprene-Polystyrene Triblock Copolymer Melts - a Dielectric and Rheological Investigation}, + journal = {Macromolecules}, + volume = {30}, + number = {17}, + pages = {5004-5011}, + note = {Current Contents/Physical, Chemical and Earth Sciences +Reprint available from: Floudas G FDN RES and TECHNOL HELLAS FORTH INST ELECT STRUCT and LASER POB 1527 IRAKLION 71110 GREECE FDN RES and TECHNOL HELLAS FORTH INST ELECT STRUCT and LASER IRAKLION 71110 GREECE UNIV ATHENS DEPT CHEM GR-15771 ATHENS GREECE}, + abstract = {Dielectric spectroscopy is employed in two polystyrene-polyisoprene-polystyrene (SIS) triblock copolymers well below the order-to-disorder transition temperature and in the frequency range from 10(-2) to 10(6) Hz. Small angle X-ray scattering has shown the formation of lamellar structures with a long period of about 25 nm. Besides the polyisoprene and polystyrene segmental relaxations and a slower process associated with the reorientation of the interface, we provide evidence for a new type of chain dynamics associated with the mobility of the junction points at the interface. From the relaxation strength of this process-which is very much reduced as compared to the chain relaxation in bulk polyisoprene-we extract a characteristic length of the end-to-end vector fluctuations in the interface in the range 4-6 nm. This value compares well with an independent estimate of the interfacial thickness based on thermodynamics. Dielectric spectroscopy can therefore be used as a dynamic probe of the interface in ordered triblock copolymers. Over the same temperature range rheology is influenced by a broad spectrum of modes related to the dynamics of tethered polyisoprene chains. [References: 44]}, + keywords = {Order-disorder transition. Normal-mode relaxation. Diblock copolymers. +Block-copolymers. Cis-polyisoprene. Polybutadiene polystyrene. +Unidirectional shear. Star copolymers. Styrene. Isoprene. +Organic chemistry/polymer science.}, + year = {1997} +} + + author = {Alig, I. and Tadjbakhsch, S. and Floudas, G. and Tsitsilianis, C.}, + title = {Viscoelastic Contrast and Kinetic Frustration During Poly(Ethylene Oxide) Crystallization in a Homopolymer and a Triblock Copolymer - Comparison of Ultrasonic and Low-Frequency Rheology}, + journal = {Macromolecules}, + volume = {31}, + number = {20}, + pages = {6917-6925}, + note = {Current Contents/Physical, Chemical and Earth Sciences +Reprint available from: Alig I DEUTSCH KUNSTSTOFF INST SCHLOSSGARTENSTR 6 D-64289 DARMSTADT GERMANY FDN RES and TECHNOL HELLAS INST ELECT STRUCT and LASER IRAKLION 71110 CRETE GREECE INST CHEM ENGN and HIGH TEMP PROC PATRAS 26500 GREECE UNIV PATRAS DEPT CHEM ENGN PATRAS 26500 GREECE}, + abstract = {We report a combined study using an ultrasonic shear wave reflection technique and conventional low-frequency rheology for the investigation of the crystallization kinetics and melting of a poly(ethylene oxide) (PEO) homopolymer and a poly(ethylene oxide)-polystyrene-poly(ethylene oxide) (PEO-PS-PEO) triblock copolymer. Both isochronal heating and isothermal/isochronal kinetic measurements of the complex dynamic shear modulus G* have been performed with high-frequency (ultrasonic) and conventional low-frequency rheology at frequencies of 3.5 MHz and 0.16 Hz, respectively. The different frequencies create a different viscoelastic contrast between the two phases in the two experiments. In both experiments the system can be regarded as a composite material made of spherulites within the amorphous matrix, and the increase of the shear modulus with time is attributed to the growing of spherulites at the expense of the amorphous matrix. The kinetics of crystallization are analyzed in the framework of the Avrami equation using different mechanical models that describe a two-phase composite. Although a simple parallel model composed of an amorphous and a spherulitic phase suffices to describe the ultrasonic shear experiment, a more complex model involving phase inversion is required to account for the abrupt dependence of the shear modulus on time in rheology. The effect of external shear is to speed up the kinetics. The ultrasonic shear experiments for the homopolymer crystallization are compared with those of the triblock copolymer, and it is found that the final modulus in the latter is considerably lower than that in the former experiment. This is explained by the less perfect structure of the lamellae and/or the spherulites in the copolymer and the kinetic frustration of the crystallization (for low undercooling) due to the glassy PS microphase. It is shown that the comparison of high and low-frequency rheology can provide new insights on the crystallization process and the final morphology in semicrystalline polymers. [References: 33]}, + keywords = {Block copolymers. Diblock copolymer. Polymers. +Organic chemistry/polymer science.}, + year = {1998} +} + + author = {Alig, I. and Tadjbakhsch, S. and Hadjichristidis, N. and Floudas, G.}, + title = {Order-to-disorder transition in a diblock copolymer studied at ultrasonic frequencies with a shear wave reflection technique}, + journal = {Europhysics Letters}, + volume = {52}, + number = {3}, + pages = {291-296}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Alig I Deutsch Kunststoff Inst Darmstadt Schlossgartenstr 6 D-64289 Darmstadt Germany Deutsch Kunststoff Inst Darmstadt D-64289 Darmstadt Germany Fdn Res and Technol Hellas, Inst Elect Struct and Laser Heraklion 71110 Crete Greece 0007 Europhys. Lett}, + abstract = {The order-to-disorder transition (ODT) has been studied in a poly(styrene-b-isoprene) diblock copolymer with conventional rheology and an ultrasonic shear wave reflection technique. Despite the operational frequency in the latter experiment (f = 5 MHz) being much higher than the critical frequency omega (c), the storage modulus exhibits a discontinuous increase at the same temperature at which in conventional rheology a discontinuous decrease is obtained. This results from a change in the mixing law at the ODT. The method constitutes a nondestructive probe of the viscoelastic properties of "soft" materials in the vicinity of phase transitions. [References: 16] 16}, + keywords = {Microphase separation. Rheology. Crystallization. +Physics in Current Contents(R)/Physical, Chemical and Earth Sciences. +2000 week 49 +Reprint available from: Alig I. Deutsch Kunststoff Inst Darmstadt, +Schlossgartenstr 6, D-64289 Darmstadt, Germany.}, + year = {2000} +} + + author = {Al-Khayyal, Faiz A. and Pardalos, Panos M.}, + title = {Global Optimization}, + journal = {SIAM Review}, + volume = {35}, + number = {3}, + pages = {p509(2)}, + note = {Review grade: A}, + keywords = {Torn, Aimo +Zilinskas, Antanas +Books Reviews}, + year = {1993} +} + +@book{Allen1990_book, + author = {Allen, M.P. and Tildesley, D.J.}, + title = {Computer Simulations of Liquids}, + publisher = {Oxford Science Publications}, + address = {Oxford}, + keywords = {standard text}, + year = {1990} +} + + author = {Allinger, N.L. and Chen, K. and Lii, J.-H.}, + title = {An improved force field (MM4) for saturated hydrocarbons}, + journal = {J. Comput. Chem.}, + volume = {17}, + number = {5,6}, + pages = {642-668}, + keywords = {alkanes +cycloalkanes +molecular mechanics (MM) +molecular modelling +potential energy surface (PES)}, + year = {1996} +} + +@article{Alsina1983, + author = {Alsina, C.}, + title = {On convex triangle functions}, + journal = {Aequationes Math.}, + volume = {26}, + pages = {91-196}, + year = {1983} +} + +@book{Alsina2006_book, + author = {Alsina, C. and Frank, M.J. and Schweizer, B.}, + title = {Associative Functions: Triangular Norms and Copulas}, + publisher = {World Scientific}, + address = {Singapore}, + year = {2006} +} + + author = {Al-Sultan, K.S.}, + title = {A tabu-search approach to the clustering problem}, + journal = {Pattern Recognition}, + volume = {28}, + pages = {1443-1451}, + year = {1995} +} + + author = {Al-Sultan, K. S. and Selim, S. Z.}, + title = {A Global Algorithm for the Fuzzy Clustering Problem}, + journal = {Pattern Recognition}, + volume = {26}, + number = {9}, + pages = {1357-1361}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Alsultan KS KING FAHD UNIV PETR and MINERALS DEPT SYST ENGN DHAHRAN 31261 SAUDI ARABIA 0007}, + abstract = {The Fuzzy clustering (FC) problem is a non-convex mathematical program which usually possesses several local minima. The global minimum solution of the problem is found using a simulated annealing-based algorithm. Some preliminary computational experiments are reported and the solution is compared with that generated by the Fuzzy C-means algorithm. [References: 8] 8}, + keywords = {Fuzzy clustering. Fuzzy c-means algorithm. Continuous simulated +annealing. Non-convex programming. Global optimization. +Ai, robotics and automatic control. +Reprint available from: Alsultan KS. KING FAHD UNIV PETR and MINERALS, DEPT +SYST ENGN, DHAHRAN 31261, SAUDI ARABIA.}, + year = {1993} +} + + author = {Amaya Cruz, G.P. and Beliakov, G.}, + title = {Approximate reasoning and interpretation of laboratory tests in medical diagnostics}, + journal = {Cybernetics and Systems}, + volume = {26}, + pages = {713-729}, + year = {1995} +} + +@inproceedings{Amdahl1967, + author = {Amdahl, G.M.}, + title = {Validity of the single-processor approach to achieving large scale computing capabilities}, + booktitle = {AFIPS Conference Proceeings}, + address = {Atlantic City, N.J., Apr. 18-20}, + publisher = {AFIPS Press, Reston}, + volume = {30}, + pages = {483-485}, + year = {1967} +} + + author = {Andersson, L.-E. and Elfving, T.}, + title = {An algorithm for constrained interpolation}, + journal = {SIAM J.Scient. Stat. Comput.}, + volume = {9}, + pages = {1012-1025}, + year = {1987} +} + +@article{AndElf1987, + author = {Andersson, L-E. and Elfving, T.}, + title = {An algorithm for constrained interpolation}, + journal = {SIAM J. Sci. Stat. Comput.}, + volume = {8}, + pages = {1012-1025}, + year = {1987} +} + + + +@article{And, + author = {Andersson, L.-E. and Elfving, T.}, + title = {Interpolation and approximation by monotone cubic splines}, + journal = {J. Approx. Theory }, + volume = {66}, + pages = {302-333}, + year = {1991} +} + +@article{Andersson1991_JAT, + author = {Andersson, L.-E. and Elfving, T.}, + title = {Interpolation and approximation by monotone cubic splines}, + journal = {Journal of Approximation Theory}, + volume = {66}, + number = {3}, + pages = {302-333}, + year = {1991} +} + +@article{AndElf1990a, + author = {Andersson, L.-E. and Elfving, T.}, + title = {Interpolation and approximation by monotone cubic splines}, + journal = {J. Approx. Theory}, + volume = {66}, + number = {3}, + pages = {302-333}, + year = {1991} +} + + author = {Andersson, L.-E. and Ivert, P.-A.}, + title = {Constrained interpolants with minimal Wk,p norm}, + journal = {J. Approx. Theory}, + volume = {49}, + pages = {283-288}, + year = {1987} +} + +@article{AndIvert1987, + author = {Andersson, Lars-Erik and Ivert, Per-Anders}, + title = {Constrained interpolants with minimal Wk,p-norm}, + journal = {J. Approx. Theory}, + volume = {49}, + number = {3}, + pages = {283-288}, + year = {1987} +} + +@techreport{AndElf1990b, + author = {Andersson, Lars-Erik and Ivert, Per-Anders}, + title = {Interpolation by positive cubic spline}, + institution = {Department of Mathematics, Linkoping Institute of Technology}, + year = {1990} +} + + author = {Andramonov, M. and Filar, J. and Pardalos, P. and Rubinov, A.M.}, + title = {Hamiltonian Cycle Problem via Markov chains and min-type approaches}, + booktitle = {Approximation and Complexity in Numerical Optimization: Continuous and Discrete Problems}, + editor = {Pardalos, P.M.}, + series = {Nonconvex Optimization and its Applications}, + publisher = {Kluwer Academic Publishers}, + address = {Dordrecht}, + volume = {42}, + pages = {31-47}, + year = {2000} +} + +@article{Andramonov1999_aml, + author = {Andramonov, M. and Rubinov, A. and Glover, B.}, + title = {Cutting angle methods in global optimization}, + journal = {Applied Mathematics Letters}, + volume = {12}, + number = {3}, + pages = {95-100}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences.}, + abstract = {A generalization of the cutting plane method from convex minimization is proposed applicable to a very broad class of nonconvex global optimization problems. Convergence results are described along with details of the initial numerical implementation of the algorithms. In particular, we study minimization problems in which the objective function is increasing and convex-along-rays. (C) 1999 Elsevier Science Ltd. All rights reserved. [References: 10] 10}, + keywords = {Global optimization +Abstract convexity +Subdifferential +Convex-along-rays +Increasing +Generalized cutting plane method +Cutting angle method}, + year = {1999} +} + + author = {Andricioaei, I. and Straub, J. E.}, + title = {Global Optimization Using Bad Derivatives - Derivative-Free Method for Molecular Energy Minimization}, + journal = {Journal of Computational Chemistry}, + volume = {19}, + number = {13}, + pages = {1445-1455}, + note = {Current Contents/Physical, Chemical and Earth Sciences +Reprint available from: Andricioaei I BOSTON UNIV DEPT CHEM 590 COMMONWEALTH AVE BOSTON, MA 02215 USA}, + abstract = {A general method designed to isolate the global minimum of a multidimensional objective function with multiple minima is presented. The algorithm exploits an integral ''coarse-graining'' transformation of the objective function, U, into a smoothed function with few minima. When the coarse-graining is defined over a cubic neighborhood of length scale epsilon, the exact gradient of the smoothed function, U-epsilon, is a simple three-point finite difference of U. When epsilon is very large, the gradient of U-epsilon appears to be a ''bad derivative'' of U. Because the gradient of U-epsilon is a simple function of U, minimization on the smoothed surface requires no explicit calculation or differentiation of U-epsilon. The minimization method is ''derivative-free'' and may be applied to optimization problems involving functions that are not smooth or differentiable. Generalization to functions in high-dimensional space is straightforward. In the context of molecular conformational optimization, the method may be used to minimize the potential energy or, preferably, to maximize the Boltzmann probability function. The algorithm is applied to conformational optimization of a model potential, Lennard-Jones atomic clusters, and a tetrapeptide. (C) 1998 John Wiley and Sons, Inc. J Comput Chem 19: 1445-1455, 1998. [References: 27]}, + keywords = {Conformational optimization. Energy minimization. Peptides. Simulated +annealing. +Classical density distribution. Diffusion equation method. Approximate +solution. Dynamics. Hypersurface. Deformation. Systems. +Chemistry.}, + year = {1998} +} + + author = {Androulakis, I. P. and Nayak, N. N. and Ierapetritou, M. G. and Monos, D. S. and Floudas, C. A.}, + title = {A Predictive Method for the Evaluation of Peptide Binding in Pocket 1 of Hla-Drb1 Via Global Minimization of Energy Interactions}, + journal = {Proteins}, + volume = {29}, + number = {1}, + pages = {87-102}, + note = {Current Contents/Life Sciences +Reprint available from: Floudas CA PRINCETON UNIV DEPT ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA UNIV PENN CHILDRENS HOSP DEPT PEDIAT PHILADELPHIA, PA 19104 USA}, + abstract = {Human leukocyte antigens (HLA) or histocompatibility molecules are glycoproteins that play a pivotal role in the development of an effective immune response, An important function of the HLA molecules is the ability to bind and present antigen peptides to T lymphocytes, Presently there is no comprehensive way of predicting and energetically evaluating peptide binding on HLA molecules, To quantitatively determine the binding specificity of a class II KLA molecule interacting with peptides, a novel decomposition approach based on deterministic global optimization is proposed that takes advantage of the topography of HLA binding grove, and examined the interactions of the bound peptide with the five different pockets. In particular, the main focus of this paper is the study of pocket 1 of HLADR1 (DRB1*0101 allele), The determination of the minimum energy conformation is based on the ECEPP/3 potential energy model that describes the energetics of the atomic interactions, The minimization of the total potential energy is formulated on the set of peptide dihedral angles, Ruler angles, and translation variables to describe the relative position. The deterministic global optimization algorithm, alpha BB, which has been shown to be epsilon-convergent to the global minimum potential energy through the solution of a series of nonlinear convex optimization problems, is utilized. The PACK conformational energy model that utilizes the ECEPP/3 model but also allows the consideration of protein chain interactions is interfaced with alpha BB. MSEED, a program used to calculate the solvation contribution via the area accessible to the solvent, is also interfaced with alpha BB, Results are presented for the entire array of naturally occurring amino acids binding to pocket 1 of the HLA DR1 molecule and very good agreement with experimental binding assays is obtained. (C) l997 Wiley-Liss, Inc. [References: 42]}, + keywords = {Peptide docking. Global optimization. Hla-drb1 class ii protein. +Force-field. Nucleic-acids. Nonbonded interactions. Docking. +Proteins. Molecules. Conformations. Hydrocarbons. Polypeptides. +Recognition. +Biochemistry and biophysics.}, + year = {1997} +} + +@article{Angilella2004_EJOR, + author = {Angilella, S. and Greco, S. and Lamantia, F. and Matarazzo, B.}, + title = {Assessing non-additive utility for multicriteria decision aid}, + journal = {Europ. J. Oper. Res.}, + volume = {158}, + pages = {734?744}, + year = {2004} +} + +@article{AnsLaur1968, + author = {Anselone, P. and Laurent, P.}, + title = {A general method for the construction of interpolating or smoothing spline-functions}, + journal = {Numerische Mathematik}, + volume = {12}, + number = {1}, + pages = {66-82}, + keywords = {Mathematics and Statistics}, + year = {1968} +} + + author = {Apponyi, M. and Bowie, J.M.}, + booktitle = {International Molecular Modelling Conference}, + address = {Lorne, Victoria}, + note = {25-residue peptide: GLVSSIGKALGGLLADVVKSKGQPA-OH}, + keywords = {nuclear magnetic resonance (NMR) +nuclear Overhauser effect (NOE) +nuclear Overhauser effect spectroscopy (NOESY) +total correlation spectroscopy (TOCSY) +sex pheromone +Litoria splendida +splendipherin +simulated annealing (SA)}, + year = {2003} +} + + author = {Apponyi, M.A. and Pukala, T.L. and Brinkworth, C.S. and Maselli, V.A. and Bowie, J.H. and Tyler, M.J. and Booker, G.W. and Wallace, J.C. and John, A. and Separovic, F. and Doyle, J. and Llewellyn, L.E.}, + title = {Host-defence peptides of Australian anurans: structure, mechanism of action and evolutionary significance}, + journal = {Peptides}, + volume = {25}, + number = {6}, + pages = {1035-1054}, + abstract = {Host-defence peptides secreted from the skin glands of Australian frogs and toads, are, with a few notable exceptions, different from those produced by anurans elsewhere. This review summarizes the current knowledge of the following classes of peptide isolated and characterized from Australian anurans: neuropeptides (including smooth muscle active peptides, and peptides that inhibit the production of nitric oxide from neuronal nitric oxide synthase), antimicrobial and anticancer active peptides, antifungal peptides and antimalarial peptides. Other topics covered include sex pheromones of anurans, and the application of peptide profiling to (i) recognize particular populations of anurans of the same species and to differentiate between species, and (ii) investigate evolutionary aspects of peptide formation.}, + keywords = {journal +peptide +review +Australian amphibians +host-defence peptides +bioactive peptides +pheromones +skin secretions +nuclear magnetic resonance (NMR) +mass spectrometry (MS) +evolution}, + year = {2004} +} + + author = {Armijo, L.}, + title = {Minimization of functions having continuous partial derivatives}, + journal = {Pacific J. of Mathematics}, + volume = {16}, + pages = {1-13}, + year = {1966} +} + +@book{orderstats, + author = {Arnold, B.C. and Balakrishnan, N. and Nagaraja, H.N.}, + title = {A First Course in Order Statistics}, + publisher = {Wiley}, + address = {New York}, + year = {1992} +} + + author = {Arrighi, V. and Higgins, J. S. and Burgess, A. H. and Floudas, G.}, + title = {Local Dynamics of Poly(Dimethyl Siloxane) in the Presence of Reinforcing Filler Particles}, + journal = {Polymer}, + volume = {39}, + number = {25}, + pages = {6369-6376}, + note = {Current Contents/Physical, Chemical and Earth Sciences +Reprint available from: Arrighi V HERIOT WATT UNIV DEPT CHEM EDINBURGH EH14 4AS MIDLOTHIAN SCOTLAND UNIV LONDON IMPERIAL COLL SCI TECHNOL and MED DEPT CHEM ENGN LONDON SW7 2BY ENGLAND ICI CHEM and POLYMERS LTD RUNCORN WA7 4QD CHESHIRE ENGLAND FDN RES and TECHNOL HELLAS INST ELECT STRUCT and LASER IRAKLION 71110 GREECE}, + abstract = {The dynamics of poly(dimethyl siloxane) (PDMS) filled with very fine silica particles with surface areas equal to 90 and 300 m(2) g(-1) has been investigated by quasielastic neutron scattering (QENS). The elastic scattering intensity has been monitored as a function of temperature up to 275 K and momentum transfer Q for values corresponding to the first and second sharp diffraction maxima. A small dynamic effect is observed below 235 K, i.e. below the melting temperature of PDMS. Considerable decrease of molecular mobility in the filled systems is detected above 235 K as a result of the decreased entropy of the adsorbed segments. The extent of reduced mobility is such that part of the chains no longer contributes to the quasielastic broadening but gives rise to an elastic component. At 40 wt% silica content and 250 K the fraction of immobilized segments amounts to 0.072 +/- 0.005 for the filler with 90 m(2) g(-1) surface area which corresponds to an adsorption layer of about 50 Angstrom. (C) 1998 Published by Elsevier Science Ltd. All rights reserved. [References: 28]}, + keywords = {Poly(dimethyl siloxane). Filler particles. Dynamics. +Neutron-scattering experiments. Carbon-black. Dielectric-spectroscopy. +Rubber interaction. Random ionomers. Chain motion. Polymers. +Organic chemistry/polymer science.}, + year = {1998} +} + +@book{Arrow1951, + author = {Arrow, K.J.}, + title = {Social Choice and Individual Values}, + publisher = {Wiley}, + address = {New York}, + year = {1951} +} + +@article{Arrow1959, + author = {Arrow, K.J.}, + title = {Rational choice functions and orderings}, + journal = {Economica}, + volume = {26}, + year = {1959} +} + +@book{Arrow2002_book, + author = {Arrow, K.J. and Sen, A. and Suzumura, K.}, + title = {Handbook of Social Choice and Welfare}, + publisher = {Elsevier}, + address = {New York}, + year = {2002} +} + + author = {Arsham, H. and Gradisar, M. and Stemberger, M.I.}, + title = {Linearly constrained global optimization: General solution algorithm with applications}, + journal = {Applied Mathematics & Computation}, + volume = {134}, + pages = {345-361}, + year = {2003} +} + +@article{Artzner1997_R, + author = {Artzner, P. and Delbaen, F. and Eber, J.-M. and Heath, D.}, + title = {Thinking coherently}, + journal = {Risk}, + volume = {10}, + pages = {68-71}, + year = {1997} +} + +@article{Artzner1999_MF, + author = {Artzner, P. and Delbaen, F. and Eber, J.-M. and Heath, D.}, + title = {Coherent measures of risk.}, + journal = {Mathematical Finance}, + volume = {9}, + pages = {203 -228}, + year = {1999} +} + +@article{Mount2009_ACM, + author = {Arya, S. and Malamatos, T. and Mount, D.M.}, + title = {Space-time tradeoffs for approximate nearest neighbor searching}, + journal = {Journal of the ACM}, + volume = {57}, + pages = {1--54}, + year = {2009} +} + +@misc{Mount1993_conf, + author = {Arya, S. and Mount, D.M.}, + title = {Approximate Nearest Neighbor Searching}, + pages = {271-280}, + year = {1993} +} + +@book{Atanassov1999_book, + author = {Atanassov, K.T.}, + title = {Intuitionistic fuzzy sets}, + publisher = { Physica-Verlag}, + address = {Heidelberg, New York}, + year = {1999} +} + +@article{Atkinson1999, + author = {Atkinson, A.C. and Cheng, T.-C.}, + title = {Computing least trimmed squares +regression with the forward search}, + journal = {Statistics and Computing}, + volume = {9}, + pages = {251-263}, + year = {1999} +} + + author = {Atkinson, R, A. and Saudek, V.}, + title = {The direct determination of protein structure by NMR without assignment}, + journal = {FEBS Letters}, + volume = {510}, + number = {1-2}, + pages = {1-4}, + abstract = {Assignment of the resonances in nuclear magnetic resonance spectra is considered a pre-requisite for the interpretation of spectra that yield structural information. The determination of the three-dimensional structure of a biological macromolecule may, however, be achieved directly without spectral assignment, using the same set of heteronuclear scalar and dipolar coupling experiments as normally used. A cross-peak in any of the spectra may be interpreted as a distance between atoms, yielding a set of distances between unassigned atoms that serves to define the tertiary structure of the molecule. The principle is illustrated using the 76 amino acid protein ubiquitin.}, + keywords = {journal +Federation of European Biochemical Societies (FEBS) +assignment +NOESY spectra +distance geometry +ubiquitin +nuclear magnetic resonance (NMR) +molecular structure +nuclear Overhauser effect (NOE)}, + year = {2002} +} + + author = {Augspurger, J.D. and Scheraga, H.A.}, + title = {An efficient, differentiable hydration potential for peptides and proteins}, + journal = {J. Comput. Chem.}, + volume = {17}, + pages = {1549-1558}, + keywords = {solvation model +solvent-accessible volume model +reduced radius independent gaussian sphere (RRIGS) approximation}, + year = {1996} +} + + author = {Augspurger, J.D. and Scheraga, H.A.}, + title = {An assessment of the accuracy of the RRIGS hydration potential: comparison to solutions of the Poisson-Boltzmann equation}, + journal = {J. Comput. Chem.}, + volume = {18}, + pages = {1072-1078}, + keywords = {solvation model +solvent-accessible volume model +reduced radius independent gaussian sphere (RRIGS) approximation}, + year = {1997} +} + +@article{Aurenhammer1991_ACM, + author = {Aurenhammer, F.}, + title = {Voronoi diagrams - a survey of a fundamental data structure}, + journal = {ACM Computing Surveys}, + volume = {23}, + pages = {345-405}, + year = {1991} +} + + author = {Auvin-Guette, C. and Baraguey, C. and Blond, A. and Xavier, H.S. and Pousset, J.L. and Bodo, B.}, + title = {Pohlianins A, B and C, cyclic peptides from the latex of Jatropha pohliana ssp molissima}, + journal = {Tetrahedron}, + volume = {55}, + number = {38}, + pages = {11495-11510}, + abstract = {From the EtOAc extract of the latex of Jatropha pohliana (Euphorbiaceae), two cyclic heptapeptides, pohlianins A (1) and B (2) and one cyclic octapeptide, pohlianin C (3) were isolated by a multi-step chromatography procedure, including HPLC. Their structure were elucidated by chemical degradation, mass spectrometry, homonuclear and heteronuclear NMR experiments. Conformational analysis of these peptides was made by using NMR experiments and distance geometry calculations. Their antimalarial activities were examined.}, + keywords = {journal +cyclic peptides +Jatropha +nuclear magnetic resonance (NMR) +molecular modelling +beta-bulge +conformational analysis +solution-state +heptapeptides}, + year = {1999} +} + + author = {Azencott, Robert}, + title = {Simulated annealing: parallelization techniques}, + publisher = {Wiley}, + address = {New York}, + note = {91004198 +edited by Robert Azencott. +"A Wiley-Interscience publication." +Includes bibliographical references and index.}, + keywords = {Simulated annealing (Mathematics)}, + year = {1992} +} + + author = {Babu, G. Phanendra and Murty, M. Narasimha and Keerthi, S. Sathiya}, + title = {A Stochastic Connectionist Approach for Global Optimization with Application to Pattern Clustering}, + journal = {IEEE Transactions on Systems, Man, and Cybernetics--Part B: Cybernetics}, + volume = {30}, + number = {1}, + pages = {10}, + abstract = {In this paper, a stochastic connectionist approach is proposed for solving function optimization problems with real-valued parameters. With the assumption of increased processing capability of a node in the connectionist network, we show how a broader class of problems can be solved. As the proposed approach is a stochastic search technique, it avoids getting stuck in local optima. Robustness of the approach is demonstrated on several multi-modal functions with different numbers of variables. Optimization of a well-known partitional clustering criterion, the squared-error criterion (SEC), is formulated as a function optimization problem and is solved using the proposed approach. This approach is used to cluster selected data sets and the results obtained are compared with that of the K-means algorithm and a simulated annealing (SA) approach. The amenability of the connectionist approach to parallelization enables effective use of parallel hardware. +Index Terms--Clustering, connectionist approaches, function optimization, global optimization.}, + keywords = {Clustering (Computers) Research +Stochastic analysis Usage +Algorithms Usage +Simulated annealing (Mathematics) Analysis +United States}, + year = {2000} +} + +@article{Bader2004, + author = {Bader, D.}, + title = {An improved, randomized algorithm for parallel selection with an experimental study}, + journal = {J. Parallel Distrib. Comput. }, + volume = {64}, + pages = {1051 - 1059}, + year = {2004} +} + +@article{Bagirov1999_jio, + author = {Bagirov, A.}, + title = {Derivative-free methods for unconstrained nonsmooth optimization and its numerical analysis}, + journal = {Journal Investigacao Operacional}, + volume = {19}, + pages = {75-93}, + year = {1999} +} + +@incollection{Bagirov1999_inbook, + author = {Bagirov, A.}, + title = {Minimization methods for one class of nonsmooth functions and calculation of semi-equilibrium prices}, + booktitle = {Progress in Optimization: Contribution from Australasia}, + editor = {Eberhard, A. et al.}, + publisher = {Kluwer}, + address = {Dordrecht}, + pages = {147-175}, + year = {1999} +} + +@article{Bagirov2002_oms, + author = {Bagirov, A.}, + title = {A method for minimization of quasidifferentiable functions}, + journal = {Optimization Methods and Software}, + volume = {17}, + pages = {31-60}, + year = {2002} +} + +@article{Bagirov2003, + author = {Bagirov, A.}, + title = {Continuous subdifferential approximations and their applications}, + journal = {Journal of Mathematical Sciences}, + volume = {115 }, + pages = {2567-2609}, + year = {2003} +} + +@article{Bagirov2008_PR, + author = {Bagirov, A.}, + title = {Modified global k-means algorithm for minimum sum-of-squares clustering problems}, + journal = {Pattern Recognition}, + volume = {41}, + pages = {3192-3199}, + year = {2008} +} + + author = {Bagirov, A.}, + title = {Continuous Approximations to Subdifferentials}, + booktitle = {Encyclopedia of Optimization }, + publisher = {Springer}, + address = {Heidelberg, Berlin, New York}, + year = {2009} +} + +@incollection{Bagirov2009_encyclopedia1, + author = {Bagirov, A.}, + title = {Derivative-Free Methods for Non-smooth Optimization}, + booktitle = {Encyclopedia of Optimization }, + publisher = {Springer}, + address = {Heidelberg, Berlin, New York}, + year = {2009} +} + +@incollection{Bagirov2009_encyclopedia, + author = {Bagirov, A. and Beliakov, G.}, + title = {Global Optimization: Cutting Angle Method}, + booktitle = {Encyclopedia of Optimization }, + publisher = {Springer}, + address = {Heidelberg, Berlin, New York}, + year = {2009} +} + +@article{Bagirov1995, + author = {Bagirov, A. and Gasanov, A.}, + title = {A method of approximating a quasidifferential}, + journal = {Russian Journal of Computational Mathematics and Mathematical Physics}, + volume = {35}, + pages = {403-409}, + year = {1995} +} + +@article{Bagirov2000_aor, + author = {Bagirov, A. and Rubinov, A.}, + title = {Global minimization of increasing positively homogeneous function over the unit simplex}, + journal = {Annals of Operations Research}, + volume = {98}, + pages = {171-187}, + year = {2000} +} + +@incollection{Bagirov2001_inbook, + author = {Bagirov, A. and Rubinov, A.}, + title = {Modified versions of the cutting angle method}, + booktitle = {Convex analysis and global optimization}, + editor = {Hadjisavvas, N. and Pardalos, P.M.}, + series = {Nonconvex optimization and its applications}, + publisher = {Kluwer}, + address = {Dordrecht}, + volume = {54}, + pages = {245-268}, + year = {2001} +} + +@incollection{Bagirov2003_inpress, + author = {Bagirov, A. and Rubinov, A.}, + title = {On minimization of max-min functions}, + booktitle = {Optimization and Control with Applications}, + editor = {Qi, L. +Teo, K. and Yang, X. Q. }, + publisher = {Springer}, + address = {Heidelberg, New-York}, + year = {2005} +} + +@article{Bagirov2003_JGO, + author = {Bagirov, A. and Rubinov, A.M.}, + title = {Cutting angle method and a local search}, + journal = {Journal of Global Optimization}, + volume = {27}, + pages = {193-213}, + keywords = {global optimization +Cutting angle method +local search +Lipschitz progamming +discrete gradient}, + year = {2003} +} + +@article{Bagirov2003_TOP, + author = {Bagirov, A. and Rubinov, A.M. and Soukhoroukova, N. V. and Yearwood, J.L.}, + title = {Unsupervised and supervised data classification via nonsmooth and global optimization}, + journal = {TOP (Formerly Trabajos Investigación Operativa)}, + volume = {11}, + pages = {1-93}, + year = {2003} +} + +@article{Bagirov2001_THIM, + author = {Bagirov, A. and Rubinov, A.M. and Yearwood, J.L.}, + title = {Using global optimization to improve classification for medical diagnosis}, + journal = {Topics in Health Information Management,}, + volume = {22}, + pages = {65-74}, + year = {2001} +} + +@article{Bagirov2003_OE, + author = {Bagirov, A. and Rubinov, A.M. and Yearwood, J.L.}, + title = {A global optimization approach to classification}, + journal = {Optimization and Engineering}, + volume = {3}, + pages = {129-155}, + year = {2002} +} + +@article{Bagirov2006_EJOR, + author = {Bagirov, A. and Yearwood, J.}, + title = {A new nonsmooth optimization algorithm for minimum sum-of-squares clustering problems}, + journal = {Europ. J. Operations Research}, + volume = {170}, + pages = {578-596 }, + year = {2006} +} + +@incollection{Bagirov2000_inbook, + author = {Bagirov, A. M.}, + title = {Numerical methods for minimizing quasidifferentiable functions: A survey and comparison}, + booktitle = {Quasidifferentiability and Related Topics}, + editor = {Demyanov, V.F and Rubinov, A.M.}, + pages = {33-71}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Bagirov AM Univ Ballarat, Sch Informat Technol and Math Sci Ballarat Vic 3353 Australia Univ Ballarat, Sch Informat Technol and Math Sci Ballarat Vic 3353 Australia 0002}, + keywords = {Subdifferential. Quasidifferential. Codifferential. Continuous +approximation. Descent direction. +None +Current Book Contents in Current Contents(R)/Physical, Chemical and Earth +Sciences. +2001 week 02 +Reprint available from: Bagirov AM. Univ Ballarat, Sch Informat Technol and +Math Sci, Ballarat, Vic 3353, Australia.}, + year = {2000} +} + +@article{Bakhvalov1971, + author = {Bakhvalov, N.S. }, + title = {On the optimality of linear methods for operator approximation in convex classes of functions}, + journal = {U.S.S.R. Comput. Math. and Math. Phys.}, + volume = {11}, + pages = {244-249}, + year = {1971} +} + +@article{Calvo2008_lever, + author = {Ballester, M.A. and Calvo, T.}, + title = {Lever aggregation operators}, + journal = {Submitted for publication}, + year = {2008} +} + +@article{Banerjee2005_TIT, + author = {Banerjee, A. and Guo, X. and Wang, H.}, + title = {On the Optimality of Conditional Expectation as a {B}regman Predictor}, + journal = {IEEE Trans. on Information Theory}, + volume = {51}, + pages = {2664-2669}, + year = {2005} +} + +@article{Banks1987_peptides, + author = {Banks, W. A. and Kastin , A. J. and Michals, E. A.}, + title = {Tyr-MIF-1 and met-enkephalin share a saturable blood-brain barrier transport system}, + journal = {Peptides}, + volume = {8}, + pages = {899-903}, + year = {1987} +} + +@article{Banzhaf-65, + author = {Banzhaf, J.F. }, + title = {Weight voting doesn't work: {A} mathematical analysis}, + journal = {Rutgers Law Review}, + volume = {19 }, + pages = {317-343}, + year = {1965} +} + +@article{Barber1996_ACM, + author = {Barber, C. B. and Dobkin, D.P. and Huhdanpaa, H.P.}, + title = {The quickhull algorithm for convex hulls}, + journal = {ACM Trans. Math. Software}, + volume = {22}, + pages = {469--483}, + year = {1996} +} + +@article{Barbut, + author = {Barbut, M.}, + title = {M\'ediane, distribuitivit\'e, \'eloighements}, + journal = {Math\'ematiques et sciences humaines}, + volume = {70}, + pages = {5--31}, + year = {1980} +} + + author = {Barhen, J. and Protopopescu, V. and Reister, D.}, + title = {Trust - a Deterministic Algorithm for Global Optimization}, + journal = {Science}, + volume = {276}, + number = {5315}, + pages = {1094-1097}, + note = {Current Contents/Physical, Chemical and Earth Sciences Current Contents/Life Sciences Current Contents/Agriculture, Biology and Environmental Sciences +Reprint available from: Barhen J OAK RIDGE NATL LAB CTR ENGN SYST ADV RES OAK RIDGE, TN 37831 USA}, + abstract = {An approach to solving continuous global optimization problems was developed. It builds on two innovative concepts, subenergy tunneling and non-Lipschitzian terminal repellers, to ensure escape from local minima in a fast, reliable, and computationally efficient manner. The generally applicable methodology is embodied in the TRUST (terminal repeller unconstrained subenergy tunneling) algorithm, which is deterministic, scalable, and easy to implement. Benchmark results show that TRUST is faster and more accurate than previously reported global optimization techniques. An application of TRUST to a large-scale exploratory seismology problem of substantial computational complexity (that is, residual statics corrections) is also reported. [References: 27]}, + keywords = {Approximation. Statics. +Multidisciplinary. Multidisciplinary. Multidisciplinary.}, + year = {1997} +} + +@article{Barndorff1977, + author = {Barndorff-Nielsen, O. E.}, + title = {Exponentially decreasing distributions for the logarithm of particle size}, + journal = {Proc. R. Soc. London A}, + volume = {353}, + pages = {401-419}, + year = {1977} +} + + author = {Barnett, N.W. and Bos, R. and Brand, H. and Jones, P. and Lim, K.F. and Purcell, S.D. and Russell, R.A.}, + title = {Synthesis and preliminary analytical evaluation of the chemiluminescence from (4-[4-(dichloromethylsilanyl)-butyl]-4’-methyl-2,2’-bipyridine)bis(2,2’-bipyridyl) ruthenium(II) covalently bonded to silica particles}, + journal = {Analyst}, + volume = {127}, + number = {4}, + pages = {455-458}, + abstract = {This paper describes, for the first time, a simple and effective synthetic route for covalently bonding the chemiluminescence reagent, (4-[4-(dichloromethylsilanyl)-butyl]-4'-methyl-2,2'-bipyridyl)bis(2,2'-bipyridyl)ruthenium(III) onto silica particles. The subsequent preparation of chemically regeneratable detection cells and their preliminary analytical evaluation with both sequential injection analysis and flow injection analysis are also reported. Unoptimised analytical figures of merit were established for standard solutions of codeine and sodium oxalate with detection limits calculated from three times the standard deviation of the blank signal, of 1 Â¥ 10-8 M and 3 Â¥ 10-7 M respectively. The chemically immobilised reagent exhibited some intriguing solvent and kinetic effects, which are also briefly discussed.}, + keywords = {journal +flow analysis +codeine; 76-57-3 +chemiluminescence (CL) +tris(2,2'-bipyridyl)ruthenium(III); Ru(bipy)32+ +chemical immobilisation +silica}, + year = {2002} +} + + author = {Barnett, N.W. and Bos, R. and Russell, R.A. and Lewis, S.W.}, + title = {Rational design and preliminary analytical evaluation of two novel oxamide reagents for aqueous peroxyoxalate chemiluminescence}, + journal = {Analyst}, + volume = {123}, + number = {6}, + pages = {1239-1245}, + abstract = {The synthesis, characterisation and preliminary analytical evaluation of a novel class of aqueous peroxyoxalate chemiluminescence reagents are described. The two oxamide reagents described incorporate the most desirable features associated with these types of compound, namely, good reactivity and no measurable background emission with analytically useful aqueous solubility. Sequential injection analysis was employed to evaluate the stability characteristics and analytical figures of merit for these compounds. The analytical performances of the new oxamides were assessed using the fluorophore rhodamine B, which realised non-linear calibration functions and detection limits in the range from 1 x 10(-7) to 5 x 10(-7) M, The non-sulfonated analogues of the two oxamides were also prepared and their performances compared favourably with that of bis (2,4,6-trichlorophenyl) oxalate, During the latter experiments, the calibrations more closely approached linearity with detection limits in the range from 9 x 10(-8) to 5 x 10(-7) M, Although the development of the novel class of oxamide reagent presented here has not yet realised its full potential, it is felt that this work represents a significant step forward in the development of truly aqueous peroxyoxalate chemiluminescence.}, + keywords = {Aqueous peroxyoxalate chemiluminescene +Oxamide reagents +Sequential injection analysis +Chemiluminescence detection +In-process streams +Liquid-chromatography +Hydrogen-peroxide +Background emission +Bis(2,4-dinitrophenyl) oxalate +Injection-analysis +esters +SIA}, + year = {1998} +} + + author = {Barnett, N.W. and Francis, P.S. and Lewis, S.W. and Lim, K.F.}, + title = {Determination of a,4-dihydroxy-3-methoxybenzeneacetic acid (vanilmandelic acid) by flow injection analysis coupled with luminol-hexacyanoferrate(III) chemiluminescence}, + journal = {Anal. Comm.}, + volume = {36}, + number = {4}, + pages = {131-134}, + keywords = {journal +a,4-dihydroxy-3-methoxybenzeneacetic acid; vanilmandelic acid; VMA +flow injection analysis (FIA) +hexacyanoferrate(III); Fe(CN)63– +luminol +chemiluminescence (CL)}, + year = {1999} +} + + author = {Barnett, N.W. and Hindson, B. J. and Lewis, S. W. and Purcell, S. D. and Jones, P.}, + title = {Preparation and preliminary evaluation of anhydrous tris(2,2'-bipyridyl)ruthenium(III) perchlorate as a temporally stable reagent for analytical chemiluminescence}, + journal = {Anal. Chim. Acta}, + volume = {421}, + number = {1}, + pages = {1-6}, + abstract = {A new method for producing solutions of tris(2,2'-bipyridyl)ruthenium(III) ([Ru(bipy)3]3+) which have significantly improved stability over other methods is presented and preliminary analytical evaluation of the reagent for chemiluminescence is reported. The synthesis of anhydrous tris(2,2'-bipyridyl)ruthenium(III) perchlorate ([Ru(bipy)3](ClO4)3) salt is described and the use of acetonitrile as solvent to minimise the presence of water which can be oxidised by [Ru(bipy)3]3+, which causes the inherent instability. The stability of the new reagent in acetonitrile was monitored spectrophotometrically (max~674nm) and a decrease of <6% was observed. A flow injection analysis experiment was conducted using codeine to generate chemiluminescence to quantify the stability of the new reagent over 50h. The results show a decrease in the chemiluminescence signal of +<8%, which is a considerable improvement over previous methods.}, + keywords = {journal +Anhydrous tris(2,2'-bipyridyl)ruthenium(III) perchlorate +Reagent stability +chemiluminescence (CL)}, + year = {2000} +} + +@article{Barral1938, + author = {Barral Souto, J.}, + title = {El modo y otras medias, casos particulares de una misma expresion matematica}, + journal = {Boletin Matematico}, + volume = {11}, + pages = {29-41}, + year = {1938} +} + +@inproceedings{Barrientos2010_conf, + author = {Barrientos, R.J. and Gomez, J.I. and Tenllado, C. and Prieto, M.}, + title = {Heap Based k-Nearest Neighbor Searh on GPUs}, + booktitle = {Congreso Espanol de Informatica}, + address = {Valencia, Spain}, + volume = {in press}, + year = {2010} +} + +@article{Barrodale:1980:ASC, + author = {Barrodale, I. and Roberts, F.D.K.}, + title = {Algorithm 552: Solution of the constrained l_1 linear approximation problem}, + journal = {ACM Trans. Math. Software}, + volume = {6}, + pages = {231-235}, + year = {1980} +} + +@book{Basu2009_book, + author = {Basu, S. and Davidson, I. and Wagstaff, K.L.}, + title = {Constrained clustering : advances in algorithms, theory, and applications}, + publisher = {CRC Press}, + address = {Boca Raton}, + year = {2009} +} + + author = {Batten, L.M.}, + title = {Embedding d-partition geometries in generalized projective space}, + journal = {Geometriae Dedicata}, + volume = {7}, + pages = {163-174}, + year = {1978} +} + + author = {Batten, L.M.}, + title = {Jordan-Dedekind spaces}, + journal = {Quarterly Journal, Oxford}, + volume = {35}, + pages = {373-381}, + year = {1984} +} + + author = {Batten, L.M.}, + title = {Rank functions of closure spaces of finite rank}, + journal = {Discrete Mathematics}, + volume = {49}, + pages = {113-116}, + keywords = {journal}, + year = {1984} +} + +@article{Batten2002_jgo, + author = {Batten, L.M. and Beliakov, G.}, + title = {Fast algorithm for the cutting angle method of global optimization}, + journal = {Journal of Global Optimization}, + volume = {24}, + pages = {149-161}, + year = {2002} +} + +@inproceedings{Batten2002_cpc, + author = {Batten, L.M. and Beliakov, G. and Lim, K.F.}, + title = {A new method of deterministic global optimisation: Applications to geometry optimisation}, + booktitle = {Conference on Physical Chemistry}, + address = {Christchurch, New Zealand}, + abstract = {The ability to predict molecular geometries has important applications in chemistry, for example, the areas of protein-structure elucidation, the investigation of host-guest interactions, and the identification of "entropic bottlenecks" (sterically-hindered transition states). In all of these areas, one needs to find the molecular geometry, which minimises the molecular energy. +We present a deterministic global optimisation technique based on the "cutting angle" method. This method produces a series of "auxiliary function" surfaces, each of which has a known global minimum, and is a lower bound to the potential-energy surface. Since this series of auxiliary functions is monotonically-increasing, our new method finds the potential-energy global minimum from "below". In contrast, existing methods, such as Monte Carlo, simulated annealling, simplex, steepest descent, find a large and/or deep potential-energy minimum from "above": this is not always the global minimum! +We present an application of our new deterministic global optimisation technique to the geometry optimisation of a number of molecules, using the ECEPP/3 potential-energy surface. The global minimum is found more accurately or more quickly than with existing methods. +This deterministic global optimisation technique can also be used to optimise the number and location of the clusters in chemometric cluster analysis, or other chemical problems involving global minimisation or maximisation.}, + keywords = {Royal Australian Chemical Institute (RACI) +Royal Society of Chemistry (RSC) +New Zealand Institute of Chemistry (NZIC)}, + year = {2002} +} + + author = {Batten, L.M. and Bohun, C.S. and Bona, A. and Cheng, K. and Doman, T. and Drew, J. and Edwards, R. and Kutay, S. and Laflamme, C. and McCrea, D. and Myrvold, W. and Ruskey, F. and Sawada, J. and van der Driessche, P. and Vander Kloet, J. and Wood, K.L.B.}, + title = {Classification of chemical compound pharmacophore structures}, + booktitle = {Technical Report, PIMS Industrial Workshop}, + keywords = {distance geometry}, + year = {1999} +} + + author = {Baty, F. +Jaeger, D. and Preiswerk, F. and Schumacher, M.M. and Brutsche, M.H.}, + title = {Stability of gene contributions and identification of outliers in multivariate analysis of microarray data}, + journal = {BMC Bioinformatics}, + volume = {9}, + pages = {289-295}, + year = {2008} +} + +@article{Batyrshin1999_TFS, + author = {Batyrshin, I. and Kaynak, O.}, + title = {Parametric classes of generalized conjunction and disjunction operators for fuzzy modeling}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {7}, + pages = {586-596}, + year = {1999} +} + +@article{Bauer2000_JEB, + author = {Bauer, C.}, + title = {Value at Risk using hyperbolic distributions}, + journal = {J. of Economics and Business}, + volume = {52}, + pages = {455-467}, + year = {2000} +} + +@article{BeatWol1989, + author = {Beatson, R.K. and Wolkowicz, H.}, + title = {Post-Processing Piecewise Cubics for Monotonicity}, + journal = {SIAM Journal on Numerical Analysis}, + volume = {26}, + number = {2}, + pages = {480-502}, + abstract = {Monotone interpolation schemes of the fit and modify type are considered. Algorithms with optimal order error properties are developed. Numerical examples are given comparing these methods with others. The theoretical underpinnings of the algorithms include sufficient conditions for the existence of monotone splines with specified error and smoothness properties, and a result concerning approximate projections onto convex sets.}, + year = {1989} +} + +@article{Beatson1985_SIAM, + author = {Beatson, R.K. and Ziegler, Z.}, + title = {Monotonicity preserving surface interpolation}, + journal = {SIAM J. Numer. Anal.}, + volume = {22}, + pages = {401-411}, + year = {1985} +} + + author = {Beckmann, J. and Dakternieks, D. and Lim, A.E.K. and Lim, K.F. and Jurkschat, K.}, + title = {The origin of ring strain and conformational flexibility in tri- and tetrasiloxane rings and their heavier group 14 congeners}, + booktitle = {Organosilicon Chemistry VI: From Molecules to Materials}, + editor = {Auner, N. and Weis, J.}, + publisher = {Wiley}, + pages = {252-258}, + keywords = {book +organotin +trisiloxane ring +tetrasiloxane ring}, + year = {2005} +} + + author = {Beckmann, J. and Dakternieks, D. and Lim, A.E.K. and Lim, K.F. and Jurkschat, K.}, + title = {Understanding ring strain and ring flexibility in six- and eight-cyclic organometallic group 14 oxides}, + journal = {Journal of Molecular Structure: Theochem}, + volume = {761}, + number = {1-3}, + pages = {177-193}, + abstract = {A simple model was developed for the approximation of ring strain energies of homo- and heterometallic, six- and eight-membered cyclic organometallic group 14 oxides and the degree of puckering of their ring conformations. The conformational energy of a ring is modelled as the sum of its angular strain components. The bending potential energy functions for the various endocyclic M–O–M0 and O–M–O linkages (M= Si, Ge, Sn) were calculated at the B3LYP/(v)TZ level of theory using H3MOM0H3 and H2M(OH)2 as model compounds. For the six-membered rings, the minimum total angular contribution to ring strain, ERSGmin was calculated to decrease in the order: cyclo-(H2SiO)3 (13.0 kJ molK1)O cyclo-H2Sn(OSiH2)2O (7.0 kJ molK1)Ocyclo-H2Ge(OSiH2)2O (4.9kJmolK1)Ocyclo-H2Si(OSnH2)2O (3.4 kJ molK1)Ocyclo-(H2SnO)3 (1.7 kJ molK1)Ocyclo-H2Si(OGeH2)2O (0.8 kJ molK1)zcyclo-H2Ge(OSnH2)2O (0.7 kJ molK1)Ocyclo-H2Sn(OGeH2)2O (0.1kJmolK 1)zcyclo-(H2GeO)3 (0 kJ molK1). All of the six-membered rings were predicted to adopt (nearly) planar conformations (aZ0.996–1). By contrast, all eight-membered rings were predicted to adopt strainless, but puckered conformations. The degree of puckering was predicted to increase in the order: cyclo-(H2SiO)4 (aZ0.983)!cyclo-H2Sn(OSiH2O)2SiH2 (aZ0.959)!cyclo-(H2SiO)2(H2SnO)2 (aZ0.942)! cyclo-H2Si(OSnH2O)2SiH2 (aZ0.935)!cyclo-(H2SnO)4 (aZ0.916)!cyclo-(H2GeO)4 (aZ0.885). The differences in ring strain and the degree of puckering were linked to the different electronegativities of Si, Ge and Sn. The results obtained are consistent with experimental ring strain energies; reactivities towards ring opening polymerizations or ring expansion reactions and observed ring conformations of cyclic organometallic group 14 oxides.}, + keywords = {organometallic +organotin +cyclo-siloxanes +cyclo-germoxanes +cyclo-stannoxanes +cyclo-stannasiloxanes +quantum chemistry +Gaussian +density-functional theory +DFT +DFT-calculations +ring strain +X-ray crystallography +solid-state polymerization +large-amplitude motions +molecular structure +ab-initio +diphenylsiloxane oligomers +cationic polymerization +dimethylgermanium oxide +mesomorphic behavior +electron-density}, + year = {2006} +} + + author = {Beckmann, J. and Jurkschat, K. and Schürmann, M. and Dakternieks, D. and Lim, A.E.K. and Lim, K.F.}, + title = {Comparison of the flexibility of eight-membered tetrasiloxane and stannasiloxane rings: A crystallographic and computational study}, + journal = {Organometallics}, + volume = {20}, + number = {24}, + pages = {5125-5133}, + note = {manuscript OM010620O}, + abstract = {The syntheses and crystal structures of the eight-membered cyclo-stannasiloxanes cyclo-[t-Bu(OH)Si(OSnt-Bu2O)2Si(OH)t-Bu] (1) and cyclo-{t-Bu2Si[OSn(CH2SiMe3)2O]2Sit-Bu2} (2) as well as the synthesis of the six-membered cyclo-stannasiloxane cyclo-{t-Bu2Si[OSn(CH2SiMe3)2]2O} (3) are reported. Compound 1 crystallizes as its trans isomer, but the cis isomer dominates in solution. In agreement with the experimentally obtained results, ab initio and DFT calculations on the model compounds cyclo-(H2SiO)4 (4), cyclo-[H2Si(OSnH2)OSiH2] (5), cyclo-O(H2SiOSnH2)2O (6), and cyclo-[H2Si(OSiH2)OSnH2] (7) indicate that the energetic preference to adopt puckered structures increases and the ring flexibility decreases with an increasing number of tin atoms in the ring. The rich diversity of puckered conformations is attributed to the steric demand of the different organic substituents.}, + keywords = {journal +organosilicon +organotin +crystal-structure}, + year = {2001} +} + +@incollection{Bedregal2012_inbook, + author = {Bedregal, Benjamín and Beliakov, Gleb and Bustince, Humberto and Calvo, Tomasa and Fernández, Javier and Mesiar, Radko}, + title = {A Characterization Theorem for t-Representable n-Dimensional Triangular Norms}, + booktitle = {Advances in Intelligent and Soft Computing}, + editor = {Melo-Pinto, Pedro and Couto, Pedro and Serôdio, Carlos and Fodor, János and De Baets, Bernard}, + series = {Advances in Intelligent and Soft Computing}, + publisher = {Springer}, + address = { Berlin / Heidelberg}, + volume = {107}, + pages = {103-112}, + year = {2012} +} + +@article{Bedregal2012_IS, + author = {Bedregal, Benjamín and Beliakov, Gleb and Bustince, Humberto and Calvo, Tomasa and Mesiar, Radko and Paternain, Daniel}, + title = {A class of fuzzy multisets with a fixed number of memberships}, + journal = {Information Sciences}, + volume = {189}, + pages = {1-17}, + keywords = {Fuzzy multisets +n-Dimensional fuzzy sets +Atanassov operators +OWA operator +n-Dimensional aggregation functions +n-Dimensional negation}, + year = {2012} +} + +@article{Behforooz1989, + author = {Behforooz, G.}, + title = {End conditions for cubic spline interpolation derived from integration}, + journal = {Applied Mathematics and Computation}, + volume = {29}, + number = {3}, + pages = {231-244}, + year = {1989} +} + +@article{Beliakov1994-ao, + author = {Beliakov, G.}, + title = {Reconstruction of Optical Characteristics of Waveguide Lenses by the Use of Ray Tracing}, + journal = {Applied Optics}, + volume = {33}, + number = {16}, + pages = {3401-3404}, + note = {Current Contents/Physical, Chemical and Earth Sciences Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Beliakov G UNIV LOS ANDES DEPT MATEMAT SANTAFE COLOMBIA RUSSIAN PEOPLES FRIENDSHIP UNIV MOSCOW RUSSIA 0014}, + abstract = {A method that uses the data of my tracing for optical waveguide tens diagnostics is described. This method permits a direct reconstruction of the optical characteristics of a waveguide without the optical or the physical thickness being measured. Conditions are determined for the mathematical problem of diagnostics by ray tracing to have a unique solution, and a technique to obtain a numerical solution from noisy experimental data is described. [References: 12] 12}, + keywords = {Optical waveguide. Waveguide lens. Waveguide diagnostics. Ray tracing. +Index focusing elements. Luneburg lenses. Symmetry. +Applied physics/condensed matter +Optics and acoustics. +Reprint available from: Beliakov G. UNIV LOS ANDES, DEPT MATEMAT, +SANTAFE, COLOMBIA.}, + year = {1994} +} + +@article{Beliakov1996_is, + author = {Beliakov, G.}, + title = {Fuzzy Sets and Membership Functions Based on Probabilities}, + journal = {Information Sciences}, + volume = {91}, + number = {1-2}, + pages = {95-111}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Beliakov G UNIV MELBOURNE DEPT MATH MELBOURNE VIC AUSTRALIA 0006}, + abstract = {Since the introduction of fuzzy set theory in 1965, several attempts to establish the relationship between the grades of membership and the classical probability measures have been made. It turns out that there are different sources of fuzziness that must be dealt with differently. In the present paper we examine in detail two types of fuzziness, namely, the fuzziness due to classification in an under- or overdimensioned universe and the fuzziness due to the intersubject differences in opinion. For the former case the membership function is defined to be equal to the normalized distance from the point to the boundary of the set in a specific metric. It is shown that this definition of the membership function is fully consistent with the max-min operations for the union/intersection; however, the membership function of the complement is defined differently from the usual ''one minus'' rule. The fuzziness due to the intersubject differences turns out to be a simple averaging process, and the explicit formulas for this case were derived. Several examples that illustrate the notions of fuzzy intervals and fuzzy numbers are given and the interpretations of the derived membership curves are presented. The formulas for calculation of the membership function of a sum of fuzzy numbers and of a product of fuzzy numbers times a constant are derived. An extended definition of the measure of fuzziness is presented and applied to the defined membership functions. [References: 14] 14}, + keywords = {2-valued logic. +Information technology and communications systems. +Reprint available from: Beliakov G. UNIV MELBOURNE, DEPT MATH, MELBOURNE, +VIC.}, + year = {1996} +} + +@article{Beliakov1996_ao, + author = {Beliakov, G.}, + title = {Numerical Evaluation of the Luneburg Integral and Ray Tracing}, + journal = {Applied Optics}, + volume = {35}, + number = {7}, + pages = {1011-1014}, + note = {Current Contents/Physical, Chemical and Earth Sciences Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Beliakov G UNIV MELBOURNE DEPT MATH MELBOURNE VIC AUSTRALIA 0001}, + abstract = {The Luneburg integral has many applications in optics and optoelectronics, among which is determination of the refractive-index profile of a Luneburg lens with a full or nonfull aperture. Consequently, computationally efficient and accurate methods for evaluating this integral represent an important challenge. An alternative approach to numerical evaluation of the Luneburg integral that is five times faster than existing methods is described. Several improvements in the ray-tracing procedure in gradient-index media are also presented. A combination of these methods increases the speed of ray tracing through the generalized Luneburg lens by as many as 2 orders of magnitude compared with earlier algorithms. The precision of our method can be easily controlled. (C) 1996 Optical Society of America [References: 15] 15}, + keywords = {Luneburg integral. Luneburg lens. Ray tracing. Numerical integration. +Splines. +Index profiles. Lenses. Improvements. Computation. +Applied physics/condensed matter/materials science +Optics and acoustics. +Reprint available from: Beliakov G. UNIV MELBOURNE, DEPT MATH, MELBOURNE, +VIC.}, + year = {1996} +} + +@inproceedings{Beliakov2000_ipmu, + author = {Beliakov, G.}, + title = {Approximation of aggregation operators using splines}, + booktitle = {IPMU 2000}, + address = {Madrid}, + pages = {680-685}, + year = {2000} +} + +@article{Beliakov2000_fss, + author = {Beliakov, G.}, + title = {Definition of general aggregation operators through similarity relations}, + journal = {Fuzzy Sets and Systems}, + volume = {114}, + number = {3}, + pages = {437-453}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Beliakov G Univ S Australia, Sch Comp and Informat Sci Warrendi Rd The Levels SA 5095 Australia Univ S Australia, Sch Comp and Informat Sci The Levels SA 5095 Australia 0009 Fuzzy Sets Syst}, + abstract = {Various extensions of the original max and min aggregation operators in fuzzy set theory are successfully used in practical applications, but lack a clear conceptual model supporting them. Giving these operators a meaningful and simple interpretation is the topic of this paper. Aggregation operators are seen as different methods to measure distances to the essential reference points of the feature space, called Ideals. It has been proved that every general aggregation operator can be associated with a corresponding metric, in which the result of its application is the distance to the Ideal. Some widely used operators correspond to familiar l - p norms, and new operators can be defined by specifying different metrics. Heterogeneous combinations of ANDs and ORs are treated in such a way that the distributivity and De Morgan's laws hold. Applications to fuzzy constraint satisfaction problem and fuzzy control are discussed and interpreted geometrically. Classical operators are particular cases of the proposed semantic model, and several other examples are given. (C) 2000 Elsevier Science B.V. All rights reserved. [References: 46] 46}, + keywords = {Fuzzy sets. Operators. Relations. Multicriteria analysis. +Defuzzification. +Fuzzy-logic. Membership. Controller. Design. Model. +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +2000 week 33 +Reprint available from: Beliakov G. Univ S Australia, Sch Comp and Informat +Sci, Warrendi Rd, The Levels, SA 5095.}, + year = {2000} +} + +@inproceedings{Beliakov2000_pricai, + author = {Beliakov, G.}, + title = {Method of Ideal solution in fuzzy set theory and multicriteria decision making}, + booktitle = {PRICAI 2000}, + series = {Lecture Notes in Computer Science}, + address = {Melbourne}, + publisher = {Springer}, + pages = {794}, + year = {2000} +} + +@inproceedings{Beliakov2000_fusion, + author = {Beliakov, G.}, + title = {Numerical Construction of Membership Functions and Aggregation Operators from Empirical Data}, + booktitle = {FUSION 2000}, + address = {Paris}, + pages = {TuC4}, + year = {2000} +} + +@article{Beliakov2000_ata, + author = {Beliakov, G.}, + title = {Shape preserving approximation using least squares splines}, + journal = {Approximation theory and applications}, + volume = {16}, + pages = {80-98}, + year = {2000} +} + +@inproceedings{Beliakov2001_fuzzieee, + author = {Beliakov, G.}, + title = {Fuzzy clustering of non-convex patterns using global optimisation}, + booktitle = {FUZZ-IEEE}, + address = {Melbourne}, + year = {2001} +} + +@inproceedings{Beliakov2001_icota1, + author = {Beliakov, G.}, + title = {Fuzzy clustering using global optimization}, + booktitle = {5th International Conference on Optimization: Techniques and Applications}, + address = {Hong Kong}, + volume = {1}, + pages = {72-79}, + year = {2001} +} + +@inproceedings{Beliakov2001_fuzzieee2, + author = {Beliakov, G.}, + title = {Methods of construction of OWA operators from data}, + booktitle = {10th IEEE International Conference on Fuzzy Systems}, + address = {Melbourne}, + year = {2001} +} + +@article{Beliakov2001_fss, + author = {Beliakov, G.}, + title = {Shape preserving splines in constructing WOWA operators: Comment on paper by V. Torra in Fuzzy Sets and Systems 113 (2000) 389-396}, + journal = {Fuzzy Sets and Systems}, + volume = {121}, + number = {3}, + pages = {549-550}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Beliakov G Deakin Univ, Fac Sci and Technol, Sch Comp and Math 662 Blackburn Rd Clayton Vic 3168 Australia Deakin Univ, Fac Sci and Technol, Sch Comp and Math Clayton Vic 3168 Australia 0014 Fuzzy Sets Syst}, + keywords = {Quadratic spline. Interpolation. +8 +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +2001 week 28}, + year = {2001} +} + +@incollection{Beliakov2002_springervol, + author = {Beliakov, G.}, + title = {Approximation of membership functions and aggregation operators using splines}, + booktitle = {Technologies for constructing intelligent systems}, + editor = {Bouchon-Meunier, B. and Gutierrez-Rios and Magdalena, L. and Yager, R.}, + publisher = {Springer}, + address = {Berlin}, + volume = {2}, + pages = {159-172}, + year = {2002} +} + +@inproceedings{Beliakov2002_ipmu2, + author = {Beliakov, G.}, + title = {Global Optimization of Neural Networks}, + booktitle = {IPMU2002}, + address = {Annecy}, + pages = {719-725}, + year = {2002} +} + +@article{Beliakov2002_ijfks, + author = {Beliakov, G.}, + title = {Monotone approximation of aggregation operators using least squares splines}, + journal = {Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems}, + volume = {10}, + pages = {659-676}, + year = {2002} +} + +@inproceedings{Beliakov2002_ipmu1, + author = {Beliakov, G.}, + title = {Three new techniques of approximating aggregation operators from empirical data}, + booktitle = {IPMU2002}, + address = {Annecy}, + volume = {2}, + pages = {945-952}, + year = {2002} +} + +@article{Beliakov2003_geom, + author = {Beliakov, G.}, + title = {Geometry and combinatorics of the cutting angle method}, + journal = {Optimization}, + volume = {52}, + number = {4-5}, + pages = {379-394}, + year = {2003} +} + +@article{Beliakov2003_IntSys, + author = {Beliakov, G.}, + title = {How to build aggregation operators from data?}, + journal = {Int. J. Intelligent Systems}, + volume = {18}, + pages = {903-923}, + year = {2003} +} + +@article{Beliakov2004_oms, + author = {Beliakov, G.}, + title = {The Cutting Angle Method - a tool for constrained global optimization}, + journal = {Optimization Methods and Software}, + volume = {19}, + pages = {137-151}, + year = {2004} +} + +@article{Beliakov2003_amc, + author = {Beliakov, G.}, + title = {Least squares splines with free knots: global optimization approach}, + journal = {Applied Mathematics and Computation}, + volume = {149}, + pages = {783-798}, + year = {2004} +} + +@article{Beliakov2005_CPC, + author = {Beliakov, G.}, + title = {Class library ranlip for multivariate nonuniform random variate generation}, + journal = {Computer Physics Communications}, + volume = {170}, + pages = {93-108}, + year = {2005} +} + +@incollection{Beliakov2004_involume, + author = {Beliakov, G}, + title = {Extended Cutting Angle method of constrained global optimization}, + booktitle = {Optimisation in Industry}, + editor = {Caccetta, L.}, + publisher = {Kluwer}, + address = {Dordrecht}, + pages = {xx-xx}, + year = {2005} +} + +@incollection{Beliakov2005_invol_tnorm, + author = {Beliakov, G.}, + title = {Fitting triangular norms to empirical data}, + booktitle = {Logical, Algebraic, Analytic, and Probabilistic Aspects of Triangular Norms}, + editor = {Klement, E.P. and Mesiar, R.}, + publisher = {Elsevier}, + address = {New York}, + pages = {255-265}, + year = {2005} +} + +@inproceedings{Beliakov2005_IASTED2, + author = {Beliakov, G.}, + title = {Identification of general aggregation operators by Lipschitz approximation}, + booktitle = {The IASTED Intl. Conf. on Artificial Intelligence and Applications}, + editor = {Hamza, M.H.}, + address = {Innsbruck, Austria}, + publisher = {ACTA Press}, + pages = {230-233}, + year = {2005} +} + +@article{Beliakov2005_FODM, + author = {Beliakov, G.}, + title = {Learning weights in the generalized OWA operators}, + journal = {Fuzzy Optimization and Decision Making}, + volume = {4}, + pages = {119-130}, + year = {2005} +} + +@article{Beliakov2006_BIT, + author = {Beliakov, G.}, + title = {Monotonicity preserving approximation of multivariate scattered data}, + journal = {BIT}, + volume = {45}, + pages = {653-677}, + year = {2005} +} + +@article{Beliakov2005_IJUFKS, + author = {Beliakov, G.}, + title = {Pointwise construction of Lipschitz aggregation operators. Part I -- Construction methods}, + journal = {Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems}, + volume = {submitted}, + year = {2005} +} + +@incollection{Beliakov2005_invol, + author = {Beliakov, G.}, + title = {A review of applications of the Cutting Angle methods}, + booktitle = {Continuous Optimization}, + editor = {Rubinov, A. and Jeyakumar, V.}, + publisher = {Springer}, + address = {New York}, + pages = {209-248}, + year = {2005} +} + +@article{Beliakov2005_TOMACS, + author = {Beliakov, G.}, + title = {Universal nonuniform random vector generator based on acceptance-rejection}, + journal = {ACM Trans. on Modelling and Computer Simulation}, + volume = {15}, + pages = {205-232}, + year = {2005} +} + +@article{Beliakov2004_JCAM, + author = {Beliakov, G}, + title = {Interpolation of Lipschitz functions}, + journal = {J. of Comp. and Applied Mathematics}, + volume = {196}, + pages = {20-44}, + year = {2006} +} + +@article{Beliakov2007_JIMO, + author = {Beliakov, G.}, + title = {Construction of aggregation operators for automated decision making via optimal interpolation and global optimization}, + journal = {J. of Industrial and Management Optimization}, + volume = {3}, + pages = {193-208}, + year = {2007} +} + +@article{Beliakov2007_OMS, + author = {Beliakov, G}, + title = {Smoothing of Lipschitz functions}, + journal = {Optimization Methods and Software}, + volume = {22}, + pages = {901 - 916}, + year = {2007} +} + +@article{Beliakov2008_PJO, + author = {Beliakov, G.}, + title = {Extended cutting angle method of global optimization}, + journal = {Pacific J. of Optimization}, + volume = {4}, + pages = {153-176}, + year = {2008} +} + + author = {Beliakov, G.}, + title = {Fitting Fuzzy Measures by Linear Programming. Programming Library Fmtools}, + booktitle = {IEEE World Congress on Computational Intelligence }, + address = {Hong Kong}, + publisher = {IEEE press}, + pages = {862-867}, + year = {2008} +} + + author = {Beliakov, G.}, + title = {Fitting fuzzy measures by linear programming. Programming library fmtools}, + booktitle = {Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence). IEEE International Conference on}, + pages = {862-867}, + keywords = {data analysis +fuzzy systems +learning (artificial intelligence) +linear programming +discrete Choquet integral +least absolute deviation sense +open source programming library +programming library fmtools}, + year = {2008} +} + +@article{Beliakov2009_FSS, + author = {Beliakov, G.}, + title = {Construction of aggregation functions from data using linear programming}, + journal = {Fuzzy Sets and Systems}, + volume = {160}, + pages = {65-75}, + year = {2009} +} + +@incollection{Beliakov2010_invol, + author = {Beliakov, G.}, + title = {Optimization and aggregation functions}, + booktitle = {Fuzzy optimization : recent advances and applications}, + publisher = {Springer}, + address = {Berlin}, + pages = {77-108}, + year = {2010} +} + +@article{Beliakov2011_JSS, + author = {Beliakov, G.}, + title = {Fast computation of trimmed means}, + journal = {Journal of statistical software}, + volume = {39}, + number = {2}, + pages = {1--6}, + year = {2011} +} + +@techreport{Beliakov2011_arxiv, + author = {Beliakov, G.}, + title = {Parallel calculation of the median and order statistics on {GPU}s with application to robust regression}, + institution = {arxiv :1104.2732}, + year = {2011} +} + +@incollection{Beliakov2002_his, + author = {Beliakov, G. and Abraham, A.}, + title = {Global optimisation of neural networks using deterministic hybrid approach}, + booktitle = {Hybrid Information Systems}, + editor = {Abraham, A. and Koppen, M.}, + publisher = {Springer}, + address = {Berlin}, + pages = {79-92}, + year = {2002} +} + +@article{Beliakov2006_Opt, + author = {Beliakov, G. and Bagirov, A.}, + title = {Nonsmooth optimization methods for computation of the Conditional Value-at-Risk and portfolio optimization}, + journal = {Optimization}, + volume = {55}, + pages = {459-479}, + year = {2006} +} + +@incollection{Beliakov2003_iccs1, + author = {Beliakov, G. and Bagirov, A. and Monsalve, J. E.}, + title = {Parallelization of the discrete gradient method of non-smooth optimization and its applications}, + booktitle = {Proceedings of the 3rd International Conference on Computational Science, LNCS}, + series = {Springer-Verlag Lecture Notes in Computer Science (LNCS)}, + publisher = {Springer-Verlag}, + address = {Heidelberg}, + volume = {2659}, + pages = {592-601}, + keywords = {global minimum +global optimization +geometry optimization +Melbourne (Australia) +St Petersburg (Russian Federation) +Lennard-Jones (LJ) (12-6) model +Lennard-jones clusters +Multiple-minima}, + year = {2003} +} + +@inproceedings{Beliakov2003_coin, + author = {Beliakov, G. and Buckley, S.}, + title = {Reconstruction of the refractive index profile of planar waveguides using ray tracing analysis}, + booktitle = {Conference on the Optical Internet and Australian Conference on Optical Fibre Technology}, + address = {Melbourne}, + pages = {384-387}, + year = {2003} +} + +@article{Beliakov2005_IJPAM, + author = {Beliakov, G. and Buckley, S.}, + title = {Mathematical modelling of the refractive index reconstruction through global optimization}, + journal = {Int. J. Pure and Appl. Mathematics}, + volume = {18}, + pages = {389-403}, + year = {2005} +} + +@article{BeliakovLNCS_2010, + author = {Beliakov, G. and Bustince, H. and Fernandez, J.}, + title = {On the Median and Its Extensions}, + journal = {LNCS}, + volume = {6178}, + pages = {435-444}, + year = {2010} +} + +@article{Beliakov2011_FSS, + author = {Beliakov, Gleb and Bustince, Humberto and Fernandez, Javier}, + title = {The median and its extensions}, + journal = {Fuzzy Sets and Systems}, + volume = {175}, + pages = {36-47}, + keywords = {Median +Aggregation functions +Means +OWA}, + year = {2011} +} + +@incollection{beliakov_estylf, + author = {Beliakov, G. and Bustince, H. and Fernandez, J. and Paternain, D.}, + title = {Means on discrete product lattices}, + booktitle = {ESTYLF'2010}, + address = {Huelva, Spain}, + year = {2010} +} + +@article{Beliakov2011_INS, + author = {Beliakov, G. and Bustince, H. and Goswami, D. P. and Mukherjee, U. K. and Pal, N. R.}, + title = {On averaging operators for Atanassov's intuitionistic fuzzy sets}, + journal = {Information Sciences}, + volume = {181}, + number = {6}, + pages = {1116-1124}, + note = {doi: DOI: 10.1016/j.ins.2010.11.024}, + keywords = {Atanassov's intuitionistic fuzzy sets +Aggregation operators +Interval-valued fuzzy sets +OWA +Triangular norms}, + year = {2011} +} + +@article{BeliakovTIP_2012, + author = {Beliakov, G. and Bustince, H. and Paternain, D.}, + title = {Image Reduction Using Means on Discrete Product Lattices}, + journal = {IEEE Trans. on Image Processing}, + volume = {21}, + pages = {1070 - 1083}, + year = {2012} +} + +@article{Beliakov2012_TFS1, + author = {Beliakov, G. and Bustince Sola, H. and James, S. and Calvo, T. and Fernandez, J.}, + title = {Aggregation for Atanassov's Intuitionistic and Interval Valued Fuzzy sets: The Median Operator}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {in press}, + pages = {DOI: 10.1109/TFUZZ.2011.2177271 }, + year = {2012} +} + +@inproceedings{BeliakovCalvo2005_EUSFLAT, + author = {Beliakov, G. and Calvo, T.}, + title = {Identification of general and double aggregation operators using monotone smoothing}, + booktitle = {EUSFLAT 2005}, + editor = {Montseny, E. and Sobrevilla, P.}, + address = {Barcelona, Spain}, + publisher = {European Society for Fuzzy Logic and Technology}, + pages = {937-942}, + year = {2005} +} + +@article{Beliakov2006_TFS, + author = {Beliakov, G. and Calvo, T.}, + title = {Construction of aggregation operators with noble reinforcement}, + journal = {IEEE Trans. on Fuzzy Syst.}, + volume = {15}, + pages = {1209-1218}, + year = {2007} +} + +@inproceedings{Beliakov2007_EUSFLAT, + author = {Beliakov, G. and Calvo, T.}, + title = {Constructions of aggregation operators that preserve ordering of the data}, + booktitle = {EUSFLAT 2007}, + address = {Ostrava, Czech Respublic}, + publisher = {European Society for Fuzzy Logic and Technology}, + year = {2007} +} + +@incollection{Beliakov2006_invol, + author = {Beliakov, G. and Calvo, T.}, + title = {Identification of weights in aggregation operators}, + booktitle = {Fuzzy Sets and Their Extensions: Representation, Aggregation and Models. }, + editor = {Bustince, H. and Herrera, F. and Montero, J.}, + publisher = {Springer}, + address = {Heidelberg, New York}, + pages = {145-162}, + year = {2008} +} + +@incollection{Beliakov2006_invol1, + author = {Beliakov, G. and Calvo, T.}, + title = {Interpolatory type construction of general aggregation operators}, + booktitle = {Fuzzy Sets and Their Extensions: Representation, Aggregation and Models}, + editor = {Bustince, H. and Herrera, F. +Montero, J.}, + publisher = {Springer}, + address = {Berlin}, + pages = {99-120}, + year = {2008} +} + + author = {Beliakov, G. and Calvo, T.}, + title = {Construction of k-Lipsschitz triangular norms and conorms from empirical data}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {17}, + pages = {1217-1220}, + year = {2009} +} + +@inproceedings{Beliakov2004_ICOTA1, + author = {Beliakov, G. and Calvo, T. and Garcia Barriocanal, M.E. and Sicilia, M.A.}, + title = {Choquet Integral-Based Aggregation of Interface Usability Parameters: Identification of Fuzzy Measure}, + booktitle = {6th Intl. Conf. on Optimization Techniques and Applications}, + editor = {Rubinov, A.}, + address = {Ballarat, Australia}, + year = {2004} +} + + author = {Beliakov, G. and Calvo, T. and James, S.}, + title = {Some results on Lipschitz quasi-arithmetic means}, + booktitle = {Intl Fuzzy Systems Association World Congress}, + address = {Lisbon, Portugal}, + publisher = {IFSA}, + year = {2009} +} + +@article{Beliakov2010_FSS, + author = {Beliakov, G. and Calvo, T. and James, S.}, + title = {On Lipschitz properties of generated aggregation functions}, + journal = {Fuzzy Sets and Systems}, + volume = {161}, + pages = {1437-1447}, + year = {2010} +} + +@incollection{Beliakov2011_handbook, + author = {Beliakov, G. and Calvo, T. and James, S.}, + title = {Aggregation of preferences in recommender systems}, + booktitle = {Handbook of Recommender Systems}, + publisher = {Springer}, + address = {Heidelberg, Berlin}, + pages = {705-734}, + year = {2011} +} + +@incollection{Beliakov2011_inbook, + author = {Beliakov, Gleb and Calvo, Tomasa and James, Simon}, + title = {On Penalty-Based Aggregation Functions and Consensus}, + booktitle = {Consensual Processes}, + editor = {Herrera-Viedma, Enrique and García-Lapresta, José and Kacprzyk, Janusz and Fedrizzi, Mario and Nurmi, Hannu and Zadrozny, Slawomir}, + series = {Studies in Fuzziness and Soft Computing}, + publisher = {Springer }, + address = {Berlin / Heidelberg}, + volume = {267}, + pages = {23-40}, + keywords = {Engineering}, + year = {2011} +} + + author = {Beliakov, G. and Calvo, T. and Lazaro, J.}, + title = {Pointwise construction of Lipschitz aggregation operators}, + booktitle = {11th Information Processing and Management of Uncertainty}, + address = {Paris}, + publisher = {Editions E.D.K.}, + pages = {595-602}, + year = {2006} +} + +@article{Beliakov2005_IJUFKS1, + author = {Beliakov, G. and Calvo, T. and Lazaro, J.}, + title = {Pointwise construction of {L}ipschitz aggregation operators with specific properties}, + journal = {Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems}, + volume = {15}, + pages = {193-223}, + year = {2007} +} + + author = {Beliakov, G. and Calvo, T. and Pradera, A.}, + title = {Handling of absorbent information by aggregation operators}, + booktitle = {XIII Congreso Español sobre Tecnologías y Logica Fuzzy, ESTYLF 2006}, + address = {Ciudad Real}, + pages = {accepted}, + year = {2006} +} + + author = {Beliakov, G. and Calvo, T. and Pradera, A.}, + title = {Handling of neutral information by aggregation operators}, + booktitle = {11th Information Processing and Management of Uncertainty}, + address = {Paris}, + publisher = {Editions E.D.K.}, + volume = {1}, + pages = {587-594}, + year = {2006} +} + +@article{Beliakov2008_FSS, + author = {Beliakov, G. and Calvo, T. and Pradera, A.}, + title = {Absorbent tuples of aggregation operators}, + journal = {Fuzzy Sets and Systems}, + volume = {158}, + pages = {1675-1691}, + year = {2007} +} + +@article{Beliakov2007_FSS, + author = {Beliakov, G. and Calvo, T. and Pradera, A.}, + title = {Handling of neutral information by aggregation operators}, + journal = {Fuzzy Sets and Systems}, + volume = {158}, + pages = {861-880}, + year = {2007} +} + +@article{Beliakov1997_ao, + author = {Beliakov, G. and Chan, D. Y. C.}, + title = {Analysis of Inhomogeneous Optical Systems by the Use of Ray Tracing .1. Planar Systems}, + journal = {Applied Optics}, + volume = {36}, + number = {22}, + pages = {5303-5309}, + abstract = {We describe a novel approach to refractive-index reconstruction in two-dimensional systems with no special symmetry, based on observation of traces of rays that travel through the optical system. The mathematical model of ray-tracing analysis is presented in detail, and both the analytical and numerical solutions are given. Methods of data processing in the presence of experimental errors are developed and applied to model problems. (C) 1997 Optical Society of America. [References: 19]}, + keywords = {Refractive-index distribution. Ray-tracing. Gradient-index lens. +Nondestructive diagnostics. +Refractive-index distribution. Transverse interferograms. +Reconstruction. Profile. Tomography. Fiber. Eye. +Applied physics/condensed matter/materials science. Optics and acoustics.}, + year = {1997} +} + +@article{Beliakov1998_ao, + author = {Beliakov, G. and Chan, D. Y. C.}, + title = {Analysis of Inhomogeneous Optical Systems by the Use of Ray Tracing - II - Three-Dimensional Systems with Symmetry}, + journal = {Applied Optics}, + volume = {37}, + number = {22}, + pages = {5106-5111}, + note = {Current Contents/Physical, Chemical and Earth Sciences Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Beliakov G UNIV MELBOURNE DEPT MATH PARKVILLE VIC 3052 AUSTRALIA}, + abstract = {We describe a new approach to the index reconstruction of three-dimensional optical systems with rotational symmetry, which is based on sampling ray paths that lie in the sagittal plane. Since the observed rays are distorted by the optical system itself, they cannot be used directly for index reconstruction. We present an iterative procedure to compute the true ray paths and then to find the index distribution. The utility of the method is verified on the model problem. (C) 1998 Optical Society of America. [References: 14]}, + keywords = {Refractive-index. Crystalline lens. Eye. +Applied physics/condensed matter/materials science. Optics and acoustics.}, + year = {1998} +} + +@article{Beliakov2010_JOGO, + author = {Beliakov, G. and Ferrer, A.}, + title = {Bounded lower subdifferentiability optimization techniques. Applications }, + journal = {J. Global Optimization}, + volume = {47}, + pages = {211 - 231}, + year = {2010} +} + +@incollection{BeliakovFerrer2010_inbook, + author = {Beliakov, G. and Ferrer, A.}, + title = {Potential application of discrete-event simulation and fuzzy rule-based systems to structural reliability and availability}, + booktitle = {Simulation Methods for Reliability and Availability of Complex Systems}, + editor = {Faulin, J. and Juan, A. and Martotell Alsina, A. and Ramirez-Marquez, J.}, + publisher = {Springer}, + address = {Berlin, New York}, + pages = {199-219}, + year = {2010} +} + + author = {Beliakov, G. and James, S.}, + title = {Using Choquet Integrals for Knn Approximation and Classification}, + booktitle = {IEEE World Congress on Computational Intelligence }, + address = {Hong Kong}, + publisher = {IEEE press}, + pages = {1311-1317}, + year = {2008} +} + + author = {Beliakov, G. and James, S.}, + title = {Citation based Journal Rankings: An Application of Fuzzy Measures}, + booktitle = {5th Intl. Summer School on Aggregation Operators}, + address = {Palma de Mallorca, Spain}, + year = {2009} +} + +@article{BeliakovFSS_2011, + author = {Beliakov, Gleb and James, Simon}, + title = {Citation-based journal ranks: The use of fuzzy measures}, + journal = {Fuzzy Sets and Systems}, + volume = {167}, + number = {1}, + pages = {101-119}, + note = {doi: DOI: 10.1016/j.fss.2010.08.011}, + keywords = {Aggregation operators +Citation analysis +Choquet integral +Ordinal classification}, + year = {2011} +} + + author = {Beliakov, G. and James, S.}, + title = {Induced Ordered Weighted Averaging Operators}, + booktitle = {Recent Developments in the Ordered Weighted Averaging Operators: Theory and Practice}, + editor = {Yager, R. and Kacprzyk, J. and Beliakov, G.}, + publisher = {Springer}, + address = {Berlin}, + pages = {29-47}, + year = {2011} +} + + author = {Beliakov, G. and James, S.}, + title = {On extending generalized Bonferroni means to Atanassov orthopairs in decision making contexts}, + journal = {Fuzzy Sets and Systems}, + volume = {10.1016/j.fss.2012.03.018}, + year = {2012} +} + +@article{Beliakov2011_TFS, + author = {Beliakov, G. and James, S. and Li, G.}, + title = { Learning choquet-integral-based metrics for semisupervised clustering}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {19}, + pages = {562-574}, + year = {2011} +} + +@article{Beliakov2010_FSS_bonf, + author = {Beliakov, Gleb and James, Simon and Mordelová, Juliana and Rückschlossová, Tatiana and Yager, Ronald R.}, + title = {Generalized Bonferroni mean operators in multi-criteria aggregation}, + journal = {Fuzzy Sets and Systems}, + volume = {161}, + number = {17}, + pages = {2227-2242}, + note = {doi: DOI: 10.1016/j.fss.2010.04.004}, + keywords = {Aggregation operators +OWA +Means +Composed aggregation function +k-Intolerance +Hard/soft partial conjunction}, + year = {2010} +} + + author = {Beliakov, G. and James, S. and Troiano, L.}, + title = {Texture Recognition by Using Glcm and Various Aggregation Functions}, + booktitle = {IEEE World Congress on Computational Intelligence }, + address = {Hong Kong}, + publisher = {IEEE press}, + pages = {1472-1476}, + year = {2008} +} + + author = {Beliakov, G. and James, S. and Troiano, L.}, + title = {Texture recognition by using GLCM and various aggregation functions}, + booktitle = {Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence). IEEE International Conference on}, + pages = {1472-1476}, + keywords = {grey systems +image recognition +image texture +matrix algebra +pattern classification +principal component analysis +GLCM +aggregation functions +alternative aggregation methods +grey level co-occurrence matrix +k nearest neighbors classification +noiseless data +texture recognition}, + year = {2008} +} + +@article{Beliakov2012_computing, + author = {Beliakov, G. and Johnstone, M. and Nahavandi, S.}, + title = {Computing of high breakdown regression estimators without sorting on graphics processing units}, + journal = {Computing}, + volume = {94}, + pages = {433-447}, + keywords = {Computer Science}, + year = {2012} +} + +@article{Beliakov2012_OMS, + author = {Beliakov, G. and Kelarev, A.}, + title = {Global non-smooth optimization in robust multivariate regression}, + journal = {Optimization methods and Software}, + volume = {DOI: 10.1080/10556788.2011.614609}, + year = {2012} +} + +@article{Beliakov2012_opt, + author = {Beliakov, G. and Kelarev, A. and Yearwood, J.}, + title = {Derivative-free optimization and neural networks for robust regression}, + journal = {Optimization}, + pages = {DOI: 10.1080/02331934.2012.674946}, + year = {2012} +} + +@inproceedings{Beliakov2005_IASTED1, + author = {Beliakov, G. and King, M.}, + title = {Fuzzy C-means density based clustering using data induced metric}, + booktitle = {The IASTED Intl. Conf. on Artificial Intelligence and Applications}, + editor = {Hamza, M.H.}, + address = {Innsbruck, Austria}, + publisher = {ACTA Press}, + pages = {234-239}, + year = {2005} +} + +@article{BeliakovKing2005_EJOR, + author = {Beliakov, G. and King, M.}, + title = {Density based fuzzy c-means clustering of non-convex patterns}, + journal = {Europ. J. Oper. Res.}, + volume = {173}, + pages = {717-728}, + year = {2006} +} + +@article{BeliakovKohler2005_IEEETIT, + author = {Beliakov, G. and Kohler, M.}, + title = {Estimation of regression functions by Lipschitz continuous functions}, + journal = {IEEE Trans. on Information Theory}, + volume = {submitted}, + year = {2005} +} + +@article{Beliakov2012_patrec, + author = {Beliakov, Gleb and Li, Gang}, + title = {Improving the speed and stability of the k-Nearest Neighbors method}, + journal = {Pattern Recognition Letters}, + volume = {33}, + pages = {1296-1301}, + keywords = {kNN +nearest neighbors +order statistics +selection +sorting +graphics processing units}, + year = {2012} +} + +@article{BeliakovLim2005_EJOR, + author = {Beliakov, G. and Lim, K.F.}, + title = {Challenges of continuous global optimization in molecular structure prediciton}, + journal = {Europ. J. Oper. Res.}, + volume = {181}, + pages = {1198-1213}, + year = {2007} +} + +@article{Beliakov2003_ijufks, + author = {Beliakov, G. and Mesiar, R. and Valaskova, L.}, + title = {Fitting generated aggregation operators to empirical data}, + journal = {Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems}, + volume = {12}, + pages = {219-236}, + year = {2004} +} + +@inproceedings{Beliakov2001_md, + author = {Beliakov, G. and Monsalve, J. E.}, + title = {Curve and Surface design using constrained splines}, + booktitle = { 3rd International Conference Mathematics and Design}, + address = {Melbourne}, + publisher = {Deakin University}, + pages = {8-16}, + year = {2001} +} + +@inproceedings{Beliakov2004_ICOTA2, + author = {Beliakov, G. and Monsalve Tobon, J.E.}, + title = {Nonlinear time series forecasting using Lipschitz approximation}, + booktitle = {6th Int. Conf. on Optimization Techniques and Applications}, + editor = {Rubinov, A.}, + address = {Ballarat, Australia}, + year = {2004} +} + +@book{Beliakov2007_book, + author = {Beliakov, G. and Pradera, A. and Calvo, T.}, + title = {Aggregation Functions: A Guide for Practitioners}, + publisher = {Springer}, + address = {Heidelberg, Berlin, New York}, + edition = {www.springer.com/978-3-540-73720-9}, + year = {2007} +} + +@incollection{Beliakov2003_hpavolume, + author = {Beliakov, G. and Ting, K. M. and Murshed, M. and Rubinov, A. and Bertoli, M.}, + title = {Efficient Serial and Parallel Implementations of the Cutting Angle Method}, + booktitle = {High Performance Algorithms and Software for Nonlinear Optimization}, + editor = {Di Pillo, G.}, + publisher = {Kluwer Academic Publishers}, + pages = {57-74}, + year = {2003} +} + +@inproceedings{Beliakov2001_icota2, + author = {Beliakov, G. and Ting, K.-M. and Murshed, M.}, + title = {Efficient serial and parallel implementation of the cutting angle global optimization technique}, + booktitle = {5th International Conference on Optimization: Techniques and Applications}, + address = {Hong Kong}, + volume = {1}, + pages = {80-87}, + year = {2001} +} + +@article{Beliakov2007_Opt, + author = {Beliakov, G. and Ugon, J.}, + title = {Implementation of novel methods of global and non-smooth optimization: {GANSO} programming library}, + journal = {Optimization}, + volume = {56}, + pages = {543-546}, + year = {2007} +} + +@article{Beliakov2001_tfs, + author = {Beliakov, G. and Warren, J.}, + title = {Appropriate choice of aggregation operators in fuzzy decision support systems}, + journal = {IEEE Transactions On Fuzzy Systems}, + volume = {9}, + pages = {773-784}, + year = {2001} +} + +@article{Beliakov2001_aim, + author = {Beliakov, G. and Warren, J.}, + title = {Fuzzy logic for decision support in chronic care}, + journal = {Artificial Intelligence in Medicine}, + volume = {21}, + number = {1-3}, + pages = {209-213}, + note = {Current Contents(R)/Clinical Medicine. +Reprint available from: Beliakov G Deakin Univ, Sch Comp and Math Rusden Campus 662 Blackburn Rd Clayton Vic 3168 Australia Deakin Univ, Sch Comp and Math Clayton Vic 3168 Australia Univ S Australia, Sch Comp and Informat Sci, Hlth Informat Res Grp Mawson Lakes 5095 Australia 0017 Artif. Intell. Med}, + abstract = {Computerized clinical guidelines can provide significant benefits in terms of health outcomes and costs, however, their effective computer implementation presents significant problems. Vagueness and ambiguity inherent in natural language (textual) clinical guidelines makes them problematic for formulating automated alerts or advice. Fuzzy logic allows us to formalize the treatment of vagueness in a decision support architecture. In care plan on-line (CPOL), an intranet-based chronic disease care planning system for general practitioners (GPS) in use in South Australia, we formally treat fuzziness in interpretation of quantitative data, formulation of recommendations and unequal importance of clinical indicators. We use expert judgment on cases, as well as direct estimates by experts, to optimize aggregation operators and treat heterogeneous combinations of conjunction and disjunction that are present in the natural language decision rules formulated by specialist teams. (C) 2001 Elsevier Science B.V All rights reserved. [References: 11] 11}, + keywords = {Clinical guidelines. Decision support systems. Vagueness. Aggregation +operators. Coordinated care. +Research/Laboratory Medicine and Medical Technology in Current +Contents(R)/Clinical Medicine. +2001 week 11}, + year = {2001} +} + +@article{Beliakov2001_jds, + author = {Beliakov, G. and Warren, J. and Noone, J.}, + title = {Mixed-initiative decision support for care planning based on clinical practice guidelines}, + journal = {Journal of Decision Systems}, + volume = {10}, + pages = {429-448}, + year = {2001} +} + +@article{Beliakov2012_JNW, + author = {Beliakov, G. and Yearwood, J. and Kelarev, A.}, + title = {Application of Rank Correlation, Clustering and classification in Information Security}, + journal = {Journal of Networks}, + volume = {In press}, + year = {2012} +} + +@misc{Beliakov2011_FUZZIEEE, + author = {Beliakov, G. and Yu, S. and Paternain, D.}, + title = {Non-monotone averaging aggregation}, + publisher = {IEEE}, + volume = {DOI: 10.1109/FUZZY.2011.6007643}, + pages = {2905 - 2908 }, + year = {2011} +} + +@article{Belikov1997_CMMP, + author = {Belikov, V.V. and Ivanov, V.D. and Kontorovich, V.K. and Korytnik, S.A. and Semenov, A.Y.}, + title = {The non-Sibsonian interpolation: a new method of interpolation of the values of a function on an arbitrary set of points}, + journal = {Computational Mathematics and Mathematical Physics}, + volume = {37}, + pages = {9-15}, + year = {1997} +} + +@article{Bellman1973, + author = {Bellman, R.E. and Giertz, M.}, + title = {On the analytic formalism of the theory of fuzzy sets}, + journal = {Inform. Sci.}, + volume = {5}, + pages = {149-156}, + year = {1973} +} + +@article{Bellman1970_MS, + author = {Bellman, R.E. and Zadeh, L.}, + title = {Decisionmaking in a fuzzy environment}, + journal = {Management Science}, + volume = {17}, + pages = {141-164}, + year = {1970} +} + + author = {Bengio, Yoshua and De Mori, Renato and Flammia, Giovanni and Kompe, Ralph}, + title = {Global optimization of a neural network-hidden Markov model hybrid}, + journal = {IEEE Transactions on Neural Networks}, + volume = {3}, + number = {2}, + pages = {p252(8)}, + keywords = {Neural networks Research +Speech perception Research +Signal processing Research}, + year = {1992} +} + + author = {Benson, H. P. and Lee, D. and McClure, P.}, + title = {Global Optimization in Practice - an Application to Interactive Multiple Objective Linear Programming}, + journal = {Journal of Global Optimization}, + volume = {12}, + number = {4}, + pages = {353-372}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Benson HP UNIV FLORIDA DEPT INFORMAT and DECIS SCI 351 BUSINESS BLDG GAINESVILLE, FL 32611 USA KOREA IND TECHNOL ASSOC KANGNAM GU SEOUL 135703 SOUTH KOREA BECKER GROVES INC FT PIERCE, FL 34954 USA}, + abstract = {A multiple objective linear programming problem (F') involves the simultaneous maximization of two or more conflicting linear objective functions over a nonempty polyhedron X. Many of the most popular methods for solving this type of problem, including many well-known interactive methods, involve searching the efficient set X-E of the problem. Generally however, X-E is a complicated, nonconvex set. As a result, concepts and methods from global optimization may be useful in searching X-E. In this paper, we will explain in theory, and show via an actual application to citrus rootstock selection in Florida, how the potential usefulness of the well-known interactive method STEM for solving problem (P) in this way, can depend crucially upon how accurately certain global optimization problems involving minimizations over X-E are solved. In particular, we will show both in theory and in practice that the choice of whether to use the popular but unreliable ''payoff table'' approach or to use one of the lesser known, more accurate global optimization methods to solve these problems can determine whether STEM succeeds or fails as a decision aid. Several lessons and conclusions of transferable value derived from this research are also given. [References: 72]}, + keywords = {Multiple objective linear programming. Optimization over the efficient +set. Interactive methods. Global optimization. Citrus rootstock +selection. +Criteria decision-making. Point search algorithm. Efficient set. +Principles. Values. Model. +Engineering mathematics.}, + year = {1998} +} + +@article{Bental1989_JMAA, + author = {Ben-Tal, A. and Charnes, A. and Teboulle, M. }, + title = {Entropic means}, + journal = {J. Math. Anal. Appl.}, + volume = {139}, + pages = {537-551}, + year = {1989} +} + +@incollection{Benvenuti2000_inbook, + author = {Benvenuti, P. and Mesiar, R.}, + title = {Integrals with respect to a general fuzzy measure}, + booktitle = {Fuzzy measures and integrals. Theory and Applications.}, + editor = {Grabisch, M. and Murofushi, T. and Sugeno, M.}, + publisher = {Physica-Verlag}, + address = {Heidelberg}, + pages = {205-232}, + year = {2000} +} + +@article{Benvenuti2005_IS, + author = {Benvenuti, P. and Mesiar, R.}, + title = {Pseudo--arithmetical operations as a basis for integration with respect to a general fuzzy measure.}, + journal = {Information Sciences}, + year = {to appear} +} + +@book{berge-71, + author = {Berge, C. }, + title = {Principles of Combinatorics}, + publisher = {Academic Press}, + address = {New York}, + volume = {72}, + series = {Mathematics in Science and Engineering}, + year = {1971} +} + + author = {Bern, M. and Eppstein, D.}, + title = {Mesh Generation and Optimal Triangulation}, + booktitle = {Computing in Euclidean Geometry}, + editor = {Du, D-Z. and Hwang, F.}, + publisher = {World Scientific}, + address = {Singapore}, + year = {1992} +} + +@techreport{Bernholt2005_TR, + author = {Bernholt, T.}, + title = {Robust Estimators are Hard to Compute}, + institution = { University of Dortmund}, + number = {http://www.statistik.tu-dortmund.de/fileadmin/user_upload/Lehrstuehle/MSind/SFB_475/2005/tr52-05.pdf}, + year = {2005} +} + +@article{Bernholt2006, + author = {Bernholt, T. and Fried, R. and Gather, U. and Wegener, I.}, + title = {Modified repeated median filters}, + journal = {Statistics and Computing}, + volume = {16}, + number = {2}, + pages = {177-192}, + abstract = {We discuss moving window techniques for fast extraction of a signal comprising monotonic +trends and abrupt shifts from a noisy time series with irrelevant spikes. Running medians +remove spikes and preserve shifts, but they deteriorate in trend periods. Modified trimmed +mean filters use a robust scale estimate such as the median absolute deviation about +the median (MAD) to select an adaptive amount of trimming. Application of robust +regression, particularly of the repeated median, has been suggested for improving upon +the median in trend periods. We combine these ideas and construct modified filters based +on the repeated median offering better shift preservation. All these filters are compared +w.r.t. fundamental analytical properties and in basic data situations. An algorithm for +the update of the MAD running in time O(log n) for window width n is presented as well.}, + year = {2006} +} + + author = {Bernshtein, V. and Lim, K.F. and Oref, I.}, + title = {Temporal dependence of collisional energy transfer by quasiclassical trajectory calculations of the toluene-argon system}, + journal = {J. Phys. Chem.}, + volume = {99}, + number = {13}, + pages = {4531-4535}, + note = {P541.3/J85}, + keywords = {quasiclassical trajectory (QCT) +collisional energy transfer (CET) +T=300 K; T=1500 K +collision duration}, + year = {1995} +} + +@article{Bertoluzza, + author = {Bertoluzza, C. and Corral, N. and Salas, A.}, + title = {On a new class of distances between fuzzy numbers}, + journal = {Mathware Soft Comput.}, + volume = {2}, + pages = {71-84}, + year = {1995} +} + +@article{Best1990, + author = {Best, M. and Chakravarti, N.}, + title = {Active set algorithms for isotonic regression; A unifying framework}, + journal = {Mathematical Programming}, + volume = {47}, + pages = {425-439}, + keywords = {Isotonic regression +active sets}, + year = {1990} +} + +@book{Bezdek1981_book, + author = {Bezdek, James C.}, + title = {Pattern recognition with fuzzy objective function algorithms}, + publisher = {Plenum Press}, + address = {New York}, + series = {Advanced applications in pattern recognition.}, + note = {James C. Bezdek. +Includes indexes. +Bibliography: p. 241-248.}, + keywords = {Pattern perception. +Fuzzy algorithms. +Cluster analysis.}, + year = {1981} +} + + author = {Bezdek, James C.}, + title = {Fuzzy models and algorithms for pattern recognition and image processing}, + publisher = {Kluwer Academic}, + address = {Boston; London}, + series = {Handbooks of fuzzy sets series; FSHS 4.}, + note = {99027835 +GB99-66444 +James C. Bezdek ... [et al.] +1. Pattern Recognition. 1.1. Fuzzy models for pattern recognition. 1.2. Why fuzzy pattern recognition? 1.3. Overview of the volume -- 2. Cluster Analysis for Object Data. 2.1. Cluster analysis. 2.2. Batch point-prototype clustering models. 2.3. Non point-prototype clustering models. 2.4. Cluster Validity. 2.5. Feature Analysis -- 3. Cluster Analysis for Relational Data. 3.1. Relational Data. 3.2. Object Data to Relational Data. 3.3. Hierarchical Methods. 3.4. Clustering by decomposition of fuzzy relations. 3.5. Relational clustering with objective functions. 3.6. Cluster validity for relational models -- 4. Classifier Design. 4.1. Classifier design for object data. 4.2. Prototype classifiers. 4.3. Methods of prototype generation. 4.4. Nearest neighbor classifiers. 4.5. The Fuzzy Integral. 4.6. Fuzzy Rule-Based Classifiers. 4.7. Neural-like architectures for classification. 4.8. Adaptive resonance models. 4.9. Fusion techniques. 4.10. Syntactic pattern recognition. +5. Image Processing and Computer Vision. 5.1. Introduction. 5.2. Image Enhancement. 5.3. Edge Detection and Edge-Enhancement. 5.4. Edge Linking. 5.5. Segmentation. 5.6. Boundary Description and Surface Approximation. 5.7. Representation of Image Objects as Fuzzy Regions. 5.8. Spatial Relations. 5.9. Perceptual Grouping. 5.10. High-Level Vision -- App. 2. The Iris Data: Table I, Fisher (1936) +Includes bibliographical references and index.}, + keywords = {Optical pattern recognition. +Fuzzy algorithms. +Cluster analysis. +Image processing. +Computer vision. +Great Britain Guidebooks.}, + year = {1999} +} + + author = {Bianchini, M. and Gori, M. and Maggini, M.}, + title = {On the problem of local minima in recurrent neural networks}, + journal = {IEEE Transactions on Neural Networks}, + volume = {5}, + number = {2}, + pages = {p167(11)}, + abstract = {Many researchers have recently focused their efforts on devising efficient algorithms, mainly based on optimization schemes, for learning the weights of recurrent neural networks. As in the case of feedforward networks, however, these learning algorithms may get stuck in local minima during gradient descent, thus discovering sub-optimal solutions. This paper analyses the problem of optimal learning in recurrent networks by proposing conditions that guarantee local minima free error surfaces. An example is given that also shows the constructive role of the proposed theory in designing networks suitable for solving a given task. Moreover, a formal relationship between recurrent and static feedforward networks is established such that the examples of local minima for feedforward networks already known in the literature can be associated with analogous ones in recurrent networks.}, + keywords = {Neural networks Research +Maxima and minima Research}, + year = {1994} +} + +@article{Bianco2004, + author = {Bianco, A. and Boente, G.}, + title = {Robust estimators in semiparametric partly linear regression models}, + journal = {Journal of Statistical Planning and Inference}, + volume = {122}, + number = {1-2}, + pages = {229-252}, + abstract = {In this paper, under a semiparametric partly linear regression model, a family of robust estimates for the regression parameter and the regression function is introduced and discussed. Some of their asymptotic properties are studied. Through a Monte Carlo study the performance of the estimates is compared with the classical ones.}, + year = {2004 } +} + +@article{Bianco2003, + author = {Bianco, A.M. and Ben, M.G. and Yohai, V.J.}, + title = {Robust estimation for linear regression with asymmetric errors with applications to log-gamma regression}, + journal = {The Canadian Journal of Statistics}, + volume = {33}, + number = {4}, + pages = {511-528}, + abstract = {In this paper we propose a class of robust estimates for regression with errors +with log-gamma distribution. These estimates, which are a natural extension +of the MM-estimates proposed by Yohai for ordinary regression, may combine +simultaneously high asymptotically e±ciency and a high breakdown point. This +paper focuses on the log-gamma regression model, but the estimates can be ex- +tended to a more general class of regression models with continuous asymmetric +errors.}, + year = {2005} +} + + author = {Biedl, T. and Demaine, E. and Demaine, M. and Lazard, S. and Lubiw, A. and O'Rourke, J. and Robbins, S. and Streinu, I. and Toussaint, G. and Whitesides, S.}, + title = {A note on reconfiguring tree linkages: trees can lock}, + journal = {Discrete Applied Mathematics}, + volume = {117}, + number = {1-3}, + pages = {293-297}, + abstract = {It has recently been shown that any polygonal chain in the plane can be reconfigured to lie on a straight line, and any polygon can be reconfigured to be convex. This result cannot be extended to tree linkages: we show that there are trees with two configurations that are not connected by a motion. Indeed, we prove that an N-link tree can have 2(Omega(N)) equivalence classes of configurations.}, + keywords = {journal +combinatorial analysis +graph embedding +tree embedding +distance geometry}, + year = {2002} +} + +@incollection{Bihari1999_invol, + author = {Bihari, B. and Plotnikoff, N.P.}, + title = {Methionine enkephalin in the treatment of AIDS-related complex}, + booktitle = {Cytokines: Stress and Immunity}, + editor = {Plotnikoff, N.P. and Mugo, A. and Faith, E. and Good, R. A.}, + publisher = {CRC Press}, + address = {Boca Raton (FL)}, + year = {1999} +} + +@book{Birkhoff, + author = {Birkhoff, G.}, + title = {Lattice theory}, + publisher = {American Mathematical Society Colloquium Publications}, + address = {New York}, + edition = {3rd}, + year = {1967} +} + + author = {Bishop, C. M.}, + title = {Neural Networks for Pattern Recognition}, + publisher = {Oxford Press}, + year = {1995} +} + +@book{Black1958, + author = {Black, R.D.}, + title = {The Theory of Committees and Elections}, + publisher = {Cambridge University Press}, + address = {Cambridge}, + year = {1958} +} + + author = {Blaney, J.M. and Dixon, J.S.}, + title = {Distance geometry in molecular modelling}, + booktitle = {Reviews in Computational Chemistry}, + editor = {Lipkowitz, K.B. and Boyd, D.B.}, + publisher = {VCH Publishers}, + address = {New York}, + volume = {5}, + pages = {299-335}, + keywords = {journal +standard review +computational chemistry +geometry optimization +molecular mechanics (MM) +molecular structure +molecular modelling +constraint}, + year = {1994} +} + + author = {Blekas, K. and Papageorgiou, G. and Stafylopatis, A.}, + title = {Continuous Optimization Schemes for Fuzzy Classification}, + booktitle = {Int. Conference on Digital Signal Processing}, + address = {Santorini, Greece}, + pages = {265--268}, + year = {1997} +} + + author = {Bliek, C. and al., et}, + title = {Algorithms for Solving Nonlinear Constrained and Optimization Problems: The State of the Art}, + publisher = {http://www.mat.univie.ac.at/~neum/papers.html}, + year = {2003} +} + +@article{Bloch1996_TSMS, + author = {Bloch, I}, + title = {Information combination operators for data fusion: {A} comparative review with classification}, + journal = {IEEE Trans. on Syst., Man and Cybernetics, A}, + volume = {26}, + pages = {52-67}, + year = {1996} +} + + author = {Blockeel, H. and Raedt, L. D.}, + title = {Topdown induction of firstorder logical decision trees}, + journal = {Artificial Intelligence}, + volume = {101}, + pages = {285-297}, + year = {1998} +} + +@book{Bloomfield1983_book, + author = {Bloomfield, P. and Steiger, W.L.}, + title = {Least Absolute Deviations. Theory, Applications and Algorithms}, + publisher = {Birkhauser}, + address = {Boston, Basel, Stuttgart}, + year = {1983} +} + +@article{Blum1973, + author = {Blum, M. and Floyd, R.W. and Watt, V. and Rive, R.L. and Tarjan, R.E.}, + title = {Time Bounds for Selection}, + journal = {Journal of Computer and System Sciences}, + volume = {7}, + pages = {448-461}, + year = {1973} +} + +@book{board2003, + author = {Board on Chemical Sciences and Technology}, + title = {Beyond the Molecular Frontier: Challenges for Chemistry and Chemical Engineering}, + publisher = {National Academies Press}, + address = {Washington (DC)}, + keywords = {National Research Council (NRC) +Committee on Challenges for the Chemical Sciences in the 21st Century +Board on Chemical Sciences and Technology (BCST)}, + year = {2003} +} + + author = {Boer, E. P. J. and Hendrix, E. M. T.}, + title = {Global optimization problems in optimal design of experiments in regression models}, + journal = {Journal of Global Optimization}, + volume = {18}, + number = {4}, + pages = {385-398}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Boer EPJ Univ Wageningen and Res Ctr, Subdept Math Dreyenlaan 4 NL-6703 HA Wageningen Netherlands Univ Wageningen and Res Ctr, Subdept Math NL-6703 HA Wageningen Netherlands 0006 J. Glob. Optim}, + abstract = {In this paper we show that optimal design of experiments, a specific topic in statistics, constitutes a challenging application field for global optimization. This paper shows how various structures in optimal design of experiments problems determine the structure of corresponding challenging global optimization problems. Three different kinds of experimental designs are discussed: discrete designs, exact designs and replicationfree designs. Finding optimal designs for these three concepts involves different optimization problems. [References: 22] 22}, + keywords = {Optimal design of experiments. Nonconvex structure. Mixed +integer/continuous optimization. Parameter estimation. +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +2001 week 03}, + year = {2000} +} + +@article{Boissonnat1998_DCGeom, + author = {Boissonnat, J.-D. and Sharir, M. and Tagansky, B. and Yvinec, M.}, + title = {Voronoi diagrams in higher dimensions under certain polyhedral distance functions}, + journal = {Discrete and Comput. Geometry}, + volume = {19}, + pages = {485-519}, + year = {1998} +} + +@article{Bonferroni1950, + author = {Bonferroni, C.}, + title = {Sulle medie multiple di potenze}, + journal = {Bollettino Matematica Italiana}, + volume = {5}, + pages = {267-270}, + year = {1950} +} + +@book{Bonnans2000, + author = {Bonnans, J.F. and Gilbert, J.C. and Lemarechal, C. and Sagastizabal, C.A.}, + title = {Numerical Optimization. Theoretical and Practical Aspects}, + publisher = {Springer}, + address = {Berlin, Heidelberg}, + year = {2000} +} + +@book{deBoor1978, + author = {Boor, Carl de}, + title = {A practical guide to splines}, + publisher = {Springer}, + address = {Berlin-NewYork}, + volume = {27}, + series = {Applied Mathematical Sciences}, + year = {1978} +} + + author = {Borghi, C. A. and Fabbri, M.}, + title = {A combined technique for the global optimization of the inverse electromagnetic problem solution}, + journal = {IEEE Transactions on Magnetics}, + volume = {33}, + number = {2}, + pages = {p1947(4)}, + abstract = {A method for finding the global optimum of the electromagnetic inverse problem solution is presented. The problem consists in the determination of the current system which produces a given magnetic field within a domain of finite extent. An infinite class of solutions exists. In order to find the solution of the synthesis problem obtained, a global optimization technique, based on the combination of the Filled Function (FF) method and the Evolution Strategy (ES) method, is developed. The FF method is utilized to find a sequence of regions containing decreasing minima. The minimization inside this region is done by means of the ES method. The technique described has been utilized for the poloidal magnetic system of a toroidal device for thermonuclear fusion experiments and for the main coil system of a Nuclear Magnetic Resonance (NMR) device.}, + keywords = {Mathematical optimization Technique +Electromagnetic fields Research}, + year = {1997} +} + +@book{AGM, + author = {Borwein, J.M. and Borwein, P.B.}, + title = {{PI} and the {AGM}: A Study in Analytic Number Theory and Computational Complexity }, + publisher = {Wiley}, + address = {New York}, + year = {1987} +} + +@article{Borwein2003_SVA, + author = {Borwein, J.M. and Vanderwerff, J. and Wang, X.D. }, + title = {Local Lipschitz-constant functions and maximal subdifferentials}, + journal = {Set-Valued Anal.}, + volume = {11}, + pages = {37-67}, + year = {2003} +} + + author = {Bos, R. and Barnett, N.W. and Dyson, G.A. and Lim, K.F. and Russell, R.A. and Watson, S.P.}, + title = {Studies on the mechanism of the peroxyoxalate chemiluminescence reaction: Part 1; Confirmation of 1,2-dioxetanedione as an intermediate using 13C nuclear magnetic resonance spectroscopy}, + journal = {Analytica Chimica Acta}, + volume = {502}, + number = {2}, + pages = {141-147}, + abstract = {A simple model peroxyoxalate chemiluminescence system was monitored directly across a range of temperatures (from -80°C to +20°C) using 13C nuclear magnetic resonance spectroscopy. These experiments were made possible by the utilisation of 13C doubly labelled oxalyl chloride, which was reacted with anhydrous hydrogen peroxide in dry tetrahydrofuran. Ab initio quantum calculations were also performed to estimate the 13C NMR shift of the most commonly postulated key intermediate 1,2-dioxetanedione and this data, in concert with the spectroscopic evidence, confirmed its presence during the reaction.}, + keywords = {journal}, + year = {2004} +} + +@book{Bouchon1998_book, + author = {Bouchon-Meunier, B.}, + title = {Aggregation and Fusion of Imperfect Information}, + publisher = {Physica--Verlag}, + address = {Heidelberg}, + year = {1998} +} + + author = {Bourne, P.E. and Weissig, H.}, + title = {Structural Bioinformatics}, + publisher = {Wiley}, + abstract = {This book aims to provide a basic understanding of the theories, associated algorithms, resources, and tools used in structural bioinformatics. The reader will emerge with the ability to make effective use of protein, DNA, RNA, carbohydrate, and complex structures to better understand biological function. Moreover, the book draws a clear connection between structural studies and the rational design of new therapies.}, + year = {2003} +} + +@book{Box1970, + author = {Box, G. E. P. and Jenkins, G. M.}, + title = {Time Series Analysis, Forecasting and Control}, + publisher = {Holden Day}, + address = {San Francisco}, + year = {1970} +} + + author = {Bradley, P. S. and Fayyad, U. M. and Mangasarian, O. L.}, + title = {Mathematical programming for data mining: Formulations and challenges [Review]}, + journal = {Informs Journal on Computing}, + volume = {11}, + number = {3}, + pages = {217-238}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Bradley PS Microsoft Res, Data Min and Explorat 1 Microsoft Way Redmond, WA 98052 USA Microsoft Res, Data Min and Explorat Redmond, WA 98052 USA Univ Wisconsin, Dept Comp Sci Madison, WI 53706 USA 0001 INFORMS J. Comput}, + abstract = {This article is intended to serve as an overview of a rapidly emerging research and applications area. In addition to providing a general overview, motivating the importance of data mining problems within the area of knowledge discovery in databases, our aim is to list some of the pressing research challenges, and outline opportunities for contributions by the optimization research communities. Towards these goals, we include formulations of the basic categories of data mining methods as optimization problems. We also provide examples of successful mathematical programming approaches to some data mining problems. [References: 125] 125}, + keywords = {Support vector machines. Misclassification minimization. +Identification. Convergence. Databases. Algorithm. Discovery. Bias. +Computer Science and Engineering in Current Contents(R)/Engineering, +Computing and Technology. +1999 week 46 +Reprint available from: Bradley PS. Microsoft Res, Data Min and Explorat, 1 +Microsoft Way, Redmond, WA 98052, USA.}, + year = {1999} +} + + author = {Bradley, P. S. and Mangasarian, O. L.}, + title = {k-plane clustering}, + journal = {Journal of Global Optimization}, + volume = {16}, + number = {1}, + pages = {23-32}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Bradley PS Microsoft Corp, Res Redmond, WA 98052 USA Microsoft Corp, Res Redmond, WA 98052 USA Univ Wisconsin, Dept Comp Sci Madison, WI 53706 USA 0003 J. Glob. Optim}, + abstract = {A finite new algorithm is proposed for clustering m given points in n-dimensional real space into k clusters by generating k planes that constitute a local solution to the nonconvex problem of minimizing the sum of squares of the 2-norm distances between each point and a nearest plane. The key to the algorithm lies in a formulation that generates a plane in n-dimensional space that minimizes the sum of the squares of the 2-norm distances to each of m(1) given points in the space. The plane is generated by an eigenvector corresponding to a smallest eigenvalue of an n x n simple matrix derived from the m(1) points. The algorithm was tested on the publicly available Wisconsin Breast Prognosis Cancer database to generate well separated patient survival curves. In contrast, the k-mean algorithm did not generate such well-separated survival curves. [References: 19] 19}, + keywords = {Clustering. K-mean. Linear regression. +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +2000 week 32 +Reprint available from: Bradley PS. Microsoft Corp, Res, Redmond, WA +98052, USA, .}, + year = {2000} +} + + author = {Bradley, P. S. and Mangasarian, O. L. and Street, W.N.}, + title = {Clustering via concave minimization}, + booktitle = {Advances in Neural Information Processing Systems}, + editor = {Mozer, M.C. and Jordan, M.I. and Petsche, T.}, + publisher = {MIT Press}, + address = {Cambridge, MA}, + volume = {9}, + pages = {368-374}, + year = {1997} +} + +@article{Bregman1967, + author = {Bregman, L.M.}, + title = {The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming}, + journal = {USSR Comput. Math. Phys.,}, + volume = {7}, + pages = {200?217}, + year = {1967} +} + + author = {Bretthauer, K. M. and Cabot, A. V.}, + title = {A Composite Branch and Bound, Cutting Plane Algorithm for Concave Minimization over a Polyhedron}, + journal = {Computers and Operations Research}, + volume = {21}, + number = {7}, + pages = {777-785}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Bretthauer KM TEXAS AandM UNIV DEPT BUSINESS ANAL and RES COLLEGE STN, TX 77843 USA INDIANA UNIV DEPT DECIS and INFORMAT SYST BLOOMINGTON, IN 47405 USA 0007}, + abstract = {We present an algorithm that combines branch and bound with cutting planes to globally minimize a concave function over a polyhedron. The algorithm solves a series of linear underestimating subproblems over subsets of the feasible region, yielding lower and upper bounds on the optimal objective value of the original problem. The algorithm also uses a form of the Tuy cutting plane in the subproblems of the branch and bound tree. As in cone splitting algorithms for concave minimization, we construct the cutting planes such that no restrictive nondegeneracy assumptions are required and such that the hyperplanes defining the cuts do not need to be explicitly calculated, eliminating matrix inversions. An additional advantage of our algorithm is that the cuts cause the linear underestimating functions to more accurately approximate the concave objective function, yielding tighter lower bounds. Computational results with the algorithm are reported. [References: 46] 46}, + keywords = {Integer programming-problems. Outer approximation. Global optimization. +Linear constraints. Conical algorithm. Convex set. Polytopes. +General/management.}, + year = {1994} +} + +@book{Brooks1998_book, + author = {Brooks, R.R. and Iyengar, S.S.}, + title = {Multi-Sensor Fusion: Fundamentals and Applications with Software}, + publisher = {Prentice Hall}, + address = {New-Jersey}, + year = {1998} +} + + author = {Brown, M. and Harris, C.}, + title = {Neurofuzzy adaptive modelling and control}, + publisher = {Prentice Hall}, + address = {London}, + year = {1994} +} + + author = {Brown, R.D. and Boggs, J.E. and Hilderbrandt, R. and Lim, K.F. and Mills, I.M. and Nikitin, E. and Palmer, M.H.}, + title = {Acronyms used in theoretical chemistry. Physical Chemistry Division. Working Party on Theoretical and Computational Chemistry}, + journal = {Pure Appl. Chem.}, + volume = {68}, + number = {2}, + pages = {387-456}, + keywords = {International Union of Pure and Applied Chemistry (IUPAC) +journal}, + year = {1996} +} + + author = {Brünger, A.T. and Nilges, M.}, + title = {Computational challenges for macromolecular structure determination by X-ray and solution NMR spectroscopy}, + journal = {Q. Rev. Biophys.}, + volume = {26}, + pages = {49-125}, + keywords = {journal +review +nuclear magnetic resonance (NMR) +X-ray crystallography +protein +molecular conformation +molecular structure}, + year = {1993} +} + +@book{Buchanan1984, + author = {Buchanan, B. and Shortliffe, E.}, + title = {Rule-based Expert Systems. The MYCIN Experiments of the Stanford Heuristic Programming Project}, + publisher = {Addison-Wesley}, + address = {Reading, MA}, + year = {1984} +} + + author = {Buckles, Bill P. and Petry, Fred}, + title = {Genetic algorithms}, + publisher = {IEEE Computer Society Press}, + address = {Los Alamitos, Calif.}, + series = {IEEE Computer Society Press technology series.}, + note = {92016233 +[edited by] Bill P. Buckles and Frederick E. Petry. +Reprints of articles originally published from 1986 to 1991. +"IEEE Computer Society Press order number 2935." +"IEEE catalog number EH0353-3." +Includes bibliographical references (p. 109)}, + keywords = {Genetic algorithms.}, + year = {1992} +} + + author = {Buckley, S.}, + title = {Reconstruction of the refractive index profile of planar waveguides +using ray tracing analysis}, + booktitle = {6th Intl. Conf. on Optimization Techniques and Applications}, + editor = {Rubinov, A.}, + address = {Ballarat, Australia}, + pages = {submitted}, + year = {2004} +} + +@incollection{Bueler2000_involume, + author = {Bueler, B. and Enge, A. and Fukuda, K.}, + title = {Exact volume computation for convex polytopes: A practical study.}, + booktitle = {Polytopes - Combinatorics and Computation}, + editor = {Kalai, G. and Ziegler, G. M.}, + publisher = {Birkhauser}, + address = {Basel}, + pages = {131-154}, + year = {2000} +} + +@book{Buhmann2003_book, + author = {Buhmann, M.D.}, + title = {Radial Basis Functions. Theory and Implementations}, + publisher = {Cambridge University Press}, + address = {Cambridge}, + year = {2003} +} + +@book{Bullen2003_book, + author = {Bullen, P.S.}, + title = {Handbook of Means and Their Inequalities}, + publisher = {Kluwer Academic Publishers}, + address = {Dordrecht}, + year = {2003} +} + +@incollection{Burdakov2006, + author = {Burdakov, O. and Sysoev, O. and Grimvall, A. and Hussian, M.}, + title = {An $O(n^2)$ algorithm for isotonic regression}, + booktitle = {Large-Scale Nonlinear Optimization}, + editor = {Roma, G. Di Pillo and M.}, + series = {Nonconvex Optimization and Its Applications}, + publisher = {Springer-Verlag}, + volume = {83}, + pages = {25-33}, + year = {2006} +} + +@inproceedings{Burdakow2004, + author = {Burdakow, Oleg and Grimwall, Anders and Hussian, M.}, + title = {A generalised PAV algorithm for monotonic regression in several variables}, + booktitle = {Computational Statistics}, + editor = {Antoch, J.}, + address = {Prague, Czech Republic}, + publisher = {Physica-Verlag}, + pages = {761-767}, + year = {2004} +} + +@book{Burden2001_book, + author = {Burden, R.L. and Faires, J.D.}, + title = {Numerical Analysis}, + publisher = {Brooks/Cole}, + address = {Pacific Grove, CA}, + year = {2001} +} + + author = {Burkert, U. and Allinger, N.L.}, + title = {Molecular Mechanics}, + publisher = {American Chemical Society}, + address = {Washington (DC)}, + volume = {177}, + series = {ACS Monographs}, + keywords = {optimisation +molecular conformation +computational chemistry +global optimization +molecular mechanics (MM) +American Chemical Society (ACS)}, + year = {1982} +} + +@article{Bustince2012_IF, + author = {Bustince, H. and Barrenechea, E. and Calvo, T. and James, S. and Beliakov, G.}, + title = {Consensus in multi-expert decision making problems using penalty functions defined over a Cartesian product of lattices}, + journal = {Information Fusion}, + pages = {DOI: 10.1016/j.inffus.2011.10.002}, + keywords = {Restricted dissimilarity function +Fuzzy distance +Penalty functions +Multipurpose decision making +Selection process}, + year = {2012} +} + +@article{Bust_2008, + author = {Bustince, H. and Barrenechea, E. and Pagola, M.}, + title = {Generation of Interval-Valued Fuzzy and Atanassov’s Intuitionistic Fuzzy Connectives from Fuzzy Connectives and from $K_\alpha$ Operators: Laws for Conjunctions and Disjunctions, Amplitude}, + journal = {Int. J. Intelligent Syst.}, + volume = {23}, + pages = {680-714}, + year = {2008} +} + + author = {Bustince, H. and Barrenechea, E. and Pagola, M. and Orduna, R.}, + title = {Construction of Interval Type 2 Fuzzy Images to Represent Images in Grayscale. False Edges}, + booktitle = {Fuzzy Systems Conference, 2007. FUZZ-IEEE 2007. IEEE International}, + pages = {1-6}, + keywords = {fuzzy set theory +image representation +false edges +fuzzy sets +grayscale image +image processing +interval type 2 fuzzy image construction}, + year = {2007} +} + +@article{Bustince2011_TIP, + author = {Bustince, H. and Fernandez, J. and Galar, M. and Beliakov, G.}, + title = {Interval-Valued Fuzzy Sets Applied to Stereo Matching of Color images}, + journal = {IEEE Transactions on Image Processing}, + volume = {20}, + pages = {1949 - 1961 }, + year = {2011} +} + + author = {Bustince, H. and Fernandez, J. and Mesiar, R. and Beliakov, G. and Calvo, T.}, + title = {Penalty functions over a catesian product of lattices}, + pages = {59-64}, + year = {2011} +} + + author = {Bustince, H. and Fernandez, J. and Mesiar, R. and Pradera, A. and Beliakov, G.}, + title = {Restricted dissimilarity functions and penalty functions}, + publisher = {Atlantis Press}, + pages = {79-85}, + year = {2011} +} + +@book{Bustince2007_book, + author = {Bustince, H. and Herrera, F. and Montero, J.}, + title = {Fuzzy Sets and Their Extensions: Representation, Aggregation and Models. }, + publisher = {Springer}, + address = {Heidelberg, New York}, + year = {2007} +} + +@article{Bustince2008_FSS, + author = {Bustince, H. and Mesiar, R. and Montero, J.}, + title = {Migrativity of Aggregation Operators}, + journal = {Fuzzy Sets and Systems}, + volume = {submitted}, + year = {2008} +} + +@incollection{bust-montero, + author = {Bustince, H. and Montero, J. and Pagola, M. and Barrenechea, E. and Gomez, D.}, + title = {A Survey of Interval-Valued Fuzzy Sets}, + booktitle = {Handbook of Granular Computing}, + publisher = {John Wiley and Sons, Ltd}, + pages = {489-515}, + keywords = {interval-valued fuzzy sets (IVFSs) theory +interval-valued fuzzy sets and interval type 2 fuzzy sets +disjunctive normal form (DNF) +interval-valued fuzzy set survey +interval-valued negations - IV negations +IV t-norms (and IV t-conorms) characterization theorems +interval-valued fuzzy implication operators +interval-valued (IV) information measures}, + year = {2008} +} + +@inproceedings{Butland1980, + author = {Butland, J.}, + title = {A method of interpolating reasonably-shaped curves through any data}, + booktitle = {Computer Graphics '80}, + editor = {Lansdown, R.J.}, + address = {Middlesex, U.K.}, + publisher = {Online Publications Ltd}, + pages = {409-422}, + year = {1980} +} + + author = {Calvo, T. and Beliakov, G.}, + title = {On migrative means and copulas}, + booktitle = {5th Intl. Summer School on Aggregation Operators}, + address = {Palma de Mallorca, Spain}, + volume = {submitted}, + year = {2009} +} + +@article{Beliakov2009_FSS, + author = {Calvo, T. and Beliakov, G.}, + title = {Aggregation functions based on penalties}, + journal = {Fuzzy Sets and Systems}, + volume = {161}, + pages = {1420-1436}, + year = {2010} +} + + author = {Calvo, T. and De Baets, B.}, + title = {On a generalization of the absorption equation}, + journal = {Int. Fuzzy. Math. Publ. Math. Debrecen}, + volume = {8}, + pages = {141--149}, + year = {2000} +} + +@article{Calvo2001_fss, + author = {Calvo, T. and De Baets, B. and Fodor, J.}, + title = {The functional equations of Frank and Alsina for uninorms and nullnorms}, + journal = {Fuzzy Sets and Systems}, + volume = {120}, + pages = {385-394}, + year = {2001} +} + +@article{Calvo1999_mathware, + author = {Calvo, T. and De Baets, B. and Mesiar, R.}, + title = {Weighted sums of aggregation operators}, + journal = {Mathware and Soft Computing}, + volume = {6}, + pages = {33-47}, + year = {1999} +} + +@incollection{Calvo2002_book, + author = {Calvo, T. and Kolesarova, A. and Komornikova, M. and Mesiar, R.}, + title = {Aggregation operators: properties, classes and construction methods}, + booktitle = {Aggregation Operators. New Trends and Applications}, + editor = {Calvo, T. and Mayor, G. and Mesiar, R.}, + publisher = {Physica-Verlag}, + address = {Heidelberg, New York}, + pages = {3-104}, + year = {2002} +} + +@article{Calvo2000_IJUFKS, + author = {Calvo, T. and Martin, J. and Mayor, G. and Torrens, J.}, + title = {Balanced discrete fuzzy measures}, + journal = {Int. J. Uncertainty, Fuzziness and Knowledge--Based Systems}, + volume = {8}, + pages = {665--676}, + year = {2000} +} + +@article{Calvo1999_Tatra, + author = {Calvo, T. and Mayor, G.}, + title = {Remarks on two types aggregation functions}, + journal = {Tatra Mount. Math. Publ.}, + pages = {235--254}, + year = {1999} +} + +@book{Calvo2002_edbook, + author = {Calvo, T. and Mayor, G. and Mesiar, R.}, + title = {Aggregation Operators. New Trends and Applications}, + publisher = {Physica-Verlag}, + address = {Heidelberg, New York}, + year = {2002} +} + +@article{Calvo2001_FSS, + author = {Calvo, T. and Mesiar, R.}, + title = {Generalized medians}, + journal = {Fuzzy Sets and Systems}, + volume = {124}, + pages = {59 - 64 }, + year = {2001} +} + +@inproceedings{Calvo2001_EUSFLAT, + author = {Calvo, T. and Mesiar, R.}, + title = {Stability of aggregation operators}, + booktitle = {2nd Conf. of the Europ. Soc. for Fuzzy Logic and Technology}, + address = {Leicester}, + pages = {475-478}, + year = {2001} +} + +@article{Calvo2003_FSS, + author = {Calvo, T. and Mesiar, R.}, + title = {Weighted triangular norms-based aggregation operators.}, + journal = {Fuzzy Sets and Systems}, + volume = {137}, + pages = {3-10}, + year = {2003} +} + +@incollection{Calvo2004_invol, + author = {Calvo, T. and Mesiar, R.}, + title = {How to incorporate weights into aggregation process?}, + booktitle = {Soft Computing. Foundations and Theoretical Aspects}, + editor = {Atanassov, K.T. and Hryniewicz, O. and Kacprzyk, J.}, + publisher = {EXIT Publishing House}, + address = {Warzsawa}, + pages = {97-122}, + year = {2004} +} + +@article{Calvo2004_TFS, + author = {Calvo, T. and Mesiar, R. and Yager, R.}, + title = {Quantitative Weights and Aggregation}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {12}, + pages = {62-69}, + year = {2004} +} + +@article{Calvo2004_FSS, + author = {Calvo, T. and Pradera, A.}, + title = {Double aggregation operators}, + journal = {Fuzzy Sets & Systems}, + volume = {142}, + pages = {15-33}, + year = {2004} +} + +@inproceedings{Carbonell1997_IEEE, + author = {Carbonell, M. and Mas, M. and Mayor, G.}, + title = {On a class of Monotonic Extended {OWA} Operators/}, + booktitle = {6th IEEE International Conference on Fuzzy Systems}, + address = {Barcelona, Spain}, + publisher = {IEEE}, + volume = {III}, + pages = {1695-1700}, + year = {1997} +} + +@article{Carey2007_AMSG, + author = {Carey, A.L. and Cowling, M.G. and Taylor, P.G. }, + title = {Assessing research in the mathematical sciences}, + journal = {Australian Mathematical Society Gazette}, + volume = {34}, + pages = {84-89}, + year = {2007} +} + + author = {Carlson, Rhys and Lewis, S.W. and Lim, K.F.}, + title = {Seeing the light: Using chemiluminescence to demonstrate chemical fundamentals}, + journal = {Chemeda: Aust. J. Chem. Educ.}, + volume = {51-53}, + pages = {14-21}, + note = {published 2000}, + abstract = {The term "chemiluminescence" was first coined by Eilhardt Weidemann in 1888, and refers to the emission of light from a chemical reaction. In its simplest form it can be represented by: +A + B Æ [I]* Æ products + light +[I]* is an excited state intermediate formed from the reaction of reactants A and B. This attractive phenomenon has been used frequently as a demonstration in teaching classes, and there are a number of "recipes" available in the literature and on the World Wide Web. +As part of the CSIRO Student Research Scheme for 1999, a secondary school student (RC) spent time in the laboratories at Deakin University, Geelong, investigating the suitability of a number of chemiluminescence demonstrations based on the luminol reaction which available on the World Wide Web. +The particular aim was to find a reaction suitable for use in secondary schools. In this paper we compare and evaluate these luminol chemiluminescence demonstrations, and propose simple adaptations of the demonstrations to demonstrate basic chemical fundamentals.}, + keywords = {chemical education +chemiluminescence (CL) +demonstration +Royal Australian Chemical Institute; RACI}, + year = {1999} +} + +@article{Carlson1985_SIAM, + author = {Carlson, R.E. and Fritsch, F.N.}, + title = {Monotone piecewise bicubic interpolation}, + journal = {SIAM J. Numer. Anal.}, + volume = {22}, + pages = {386-400}, + year = {1985} +} + +@article{Carnicer1995_ACM, + author = {Carnicer, J.}, + title = {Multivariate convexity preserving interpolation by smooth functions}, + journal = {Adv. Comput. Mathem.}, + volume = {3}, + pages = {395-404}, + year = {1995} +} + +@article{Carnicer1996_NA, + author = {Carnicer, J. and Floater, M.S.}, + title = {Piecewise linear interpolants to Lagrange and Hermite convex scattered data}, + journal = {Numerical Algorithms}, + volume = {13}, + pages = {345-364}, + year = {1996} +} + +@book{Castillo2008_book, + author = {Castillo, O. and Melin, P.}, + title = {Type-2 Fuzzy Logic Theory and Applications}, + publisher = {Springer}, + address = {Berlin}, + year = {2008} +} + + author = {Castillo, P. A. and Merelo, J. J. and Prieto, A. and Rivas, V. and Romero, G.}, + title = {G-Prop: Global optimization of multilayer perceptrons using GAs}, + journal = {Neurocomputing}, + volume = {35}, + pages = {149-163}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Castillo PA Univ Granada, Fac Ciencias, Dept Arquitectura and Tecnol Comp Campus Fuentenueva S-N E-18071 Granada Spain Univ Granada, Fac Ciencias, Dept Arquitectura and Tecnol Comp E-18071 Granada Spain Univ Jaen, Excuela Politecn Super, Dept Informat Jaen 23071 Spain 0010 Neurocomputing}, + abstract = {A general problem in model selection is to obtain the right parameters that make a model fit observed data. For a multilayer perceptron (MLP) trained with back-propagation (BP), this means finding appropiate layer size and initial weights. This paper proposes a method (G-Prop, genetic backpropagation) that attempts to solve that problem by combining a genetic algorithm (GA) and BP to train MLPs with a single hidden layer. The GA selects the initial weights and changes the number of neurons in the hidden layer through the application of specific genetic operators. G-Prop combines the advantages of the global search performed by the GA over the MLP parameter space and the local search of the BP algorithm. The application of the G-Prop algorithm to several real-world and benchmark problems shows that MLPs evolved using G-Prop are smaller and achieve a higher level of generalization than other perceptron training algorithms, such as Quick-Propagation or RPROP, and other evolutive algorithms, such as G-LVQ. (C) 2000 Elsevier Science B,V. All rights reserved. [References: 46] 46}, + keywords = {Genetic algorithms. Neural networks. Optimization. Learning. +Generalization. +Genetic algorithms. Neural networks. +AI, Robotics, and Automatic Control in Current Contents(R)/Engineering, +Computing and Technology. +2000 week 51 +Reprint available from: Castillo PA. Univ Granada, Fac Ciencias, Dept +Arquitectura and Tecnol Comp, Campus Fuentenueva S-N, E-18071 Granada, +Spain.}, + year = {2000} +} + +@article{Cederman2008_LNCS, + author = {Cederman, D. and Tsigas, P.}, + title = {A Practical Quicksort Algorithm for Graphics Processors}, + journal = {LNCS}, + volume = {5193}, + pages = {246 - 258}, + year = {2008} +} + +@article{Cederman2009_ACM, + author = {Cederman, D. and Tsigas, P.}, + title = {GPU-Quicksort: A Practical Quicksort Algorithm for Graphics Processors}, + journal = {ACM Journal of Experimental Algorithmics }, + volume = {14}, + pages = {1.4.1-1.4.24}, + year = {2009} +} + +@article{Cerioli2010_JCGS, + author = {Cerioli, A.}, + title = {Multivariate Outlier Detection With High-Breakdown Estimators}, + journal = {Journal of the American Statistical Association}, + volume = {105}, + number = {489}, + pages = {147-156}, + year = {2010} +} + + author = {Chambers, Lance}, + title = {Practical handbook of genetic algorithms}, + publisher = {CRC Press}, + address = {Boca Raton}, + note = {95017139 +edited by Lance Chambers. +Genetic algorithms. +1 computer disk (3 1/2 in.) +v. 1. Applications -- v. 2. New frontiers. +Includes bibliographical references and index. +System requirements for accompanying computer disk: Macintosh to use code segments; ability to read PC-formatted diskette (possibilities include System 7.5 or PC Access); diskette contains working applications and code segments in ASCII.}, + keywords = {Genetic algorithms.}, + year = {1995} +} + + author = {Chambers, Lance}, + title = {The practical handbook of genetic algorithms: applications}, + publisher = {Chapman and Hall/CRC}, + address = {Boca Raton, Fla.}, + edition = {2nd}, + note = {00064500 +Gba1-04392 +edited by Lance Chambers. +Genetic algorithms. +Includes bibliographical references and index.}, + keywords = {Genetic algorithms.}, + year = {2001} +} + + author = {Chang, G. and Guida, W.C. and Still, W.C.}, + title = {An internal coordinate Monte Carlo method for searching conformational space}, + journal = {Journal of the American Chemical Society}, + volume = {111}, + number = {12}, + pages = {4379-4386}, + keywords = {molecular mechanics (MM) +molecular structure +Monte Carlo (MC) +conformational analysis}, + year = {1989} +} + +@book{Chapelle2006_book, + author = {Chapelle, O. and Sch\"olkopf, B. and Zien, A.}, + title = {Semi-Supervised Learning}, + publisher = {MIT Press}, + address = {Cambridge, MA}, + year = {2006} +} + +@article{Chateauneuf-Jaffray-00, + author = {Chateauneuf, A. and Jaffray, J.Y.}, + title = {Some characterizations of lower probabilities and other monotone capacities through the use of {M}\"obius inversion}, + journal = {Mathematical Social Sciences}, + volume = {17}, + pages = {263-283}, + year = {1989} +} + +@article{Chavent2004_CS, + author = {Chavent, M. and Saracco, J.}, + title = {On central tendency and dispersion measures for intervals and hypercubes}, + journal = {Communications in Statistics --Theory and Methods}, + volume = {37}, + pages = {1471-1482}, + year = {2008} +} + +@article{Chen1995_FSS, + author = {Chen, J.E. and Otto, K.N.}, + title = {Constructing membership functions using interpolation and measurement theory}, + journal = {Fuzzy Sets and Systems}, + volume = {73}, + pages = {313-327}, + year = {1995 } +} + + author = {Chen, Luonan and Aihara, Kazuyuki}, + title = {Global searching ability of chaotic neural networks}, + journal = {IEEE Transactions on Circuits and Systems-I: Fundamental Theory...}, + volume = {46}, + number = {8}, + pages = {974(2)}, + abstract = {This paper aims to theoretically prove that both transiently chaotic neural networks (TCNN's) and discrete-time recurrent neural networks (DRNN's) have a global attracting set which ensures that the neural networks carry out a global search. A significant property of TCNN's and DRNN's is that their attracting sets are generated by a bounded fixed point, which is the unique repeller when absolute values of the self-feedback connection weights in TCNN and the difference time in DRNN are sufficiently large. We provide sufficient conditions under which the neural networks have a trapping region where the global unstable set of the fixed point actually evolves into a global attracting set. We also prove the coexistence of an attracting set and a transversal homoclinic orbit in the same region, which may result in complicated chaotic dynamics. For combinatorial optimization with neural networks, this paper shows that TCNN's and DRNN's do have global searching ability and their attracting set encloses not only local minima, but also global minima for the commonly used objective functions. To demonstrate the theoretical results of this paper, several numerical simulations are provided as illustrative examples. +Index Terms - Attracting set, chaos, chaotic simulated annealing, global optimization, global search, homoclinic orbit, neural network, snap-back repeller, strange attractor.}, + keywords = {Neural networks Research +Chaos theory Usage +Simulated annealing (Mathematics) Usage +Mathematical optimization Technique +Database searching Technique}, + year = {1999} +} + +@book{Chen1992_book, + author = {Chen, S.-J. and Hwang, C.-L.}, + title = {Fuzzy Multiple Attribute Decision Making: Methods and Applications}, + publisher = {Springer}, + address = {Berlin, Heidelberg}, + year = {1992} +} + +@article{Chen2001_FSS, + author = {Chen, T.-Y. and Wang, J.-C. }, + title = {Identification of [lambda]-fuzzy measures using sampling design and genetic algorithms}, + journal = {Fuzzy Sets and Systems}, + volume = {123 }, + pages = {321-341}, + year = {2001} +} + +@article{Chen2000_TMSS, + author = {Chen, T.-Y. and Wang, J.-C. and Tzeng, G.H.}, + title = { Identification of general fuzzy measures by genetic algorithms based on partial information}, + journal = {IEEE Trans. on Syst., Man and Cybernetics, B}, + volume = {30}, + pages = {517 - 528}, + year = {2000 } +} + + author = {Chen, Y.-P. P.}, + title = {Bioinformatics}, + publisher = {Australian Computer Society}, + address = {Sydney}, + volume = {19}, + series = {Conferences in Research and Practice in Information Technology}, + keywords = {Asia-Pacific Bioinformatics Conference (APBC) +bioinformatics +cluster analysis +protein +optimisation +conference}, + year = {2003} +} + +@book{Cheney2004_book, + author = {Cheney, E. W. and Kincaid, D.}, + title = {Numerical Mathematics and Computing / Ward Cheney, David }, + publisher = {Brooks/Cole}, + address = {Belmont, CA.}, + year = {2004 } +} + +@book{Cherkassky1998_book, + author = {Cherkassky, V. and Mulier, F}, + title = {Learning from Data}, + publisher = {Wiley}, + address = {New York}, + year = {1998} +} + + author = {Cherruault, Y.}, + title = {On a Reducing Space-Filling Transformation - Application to Global Optimization}, + journal = {Kybernetes}, + volume = {26}, + number = {4-5}, + pages = {589}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Cherruault Y UNIV PARIS 06 PARIS FRANCE}, + abstract = {Introduces new reducing transformation which allows expression of n variables in function of a single one. This allows densification of the space R-n and the quality of the densification can be estimated. Applications to global optimization problems lead to the optimization of one variable function and the time of calculation for obtaining a global optimum can be estimated. [References: 8]}, + keywords = {Cybernetics. Globalization. Optimization. +Decomposition methods. Convergence. +Ai, robotics and automatic control.}, + year = {1997} +} + + author = {Chesnut, D.B.}, + title = {The ab initio computation of nuclear magentic resonance chemical shielding}, + booktitle = {Reviews in Computational Chemistry}, + editor = {Lipkowitz, K.B. and Boyd, D.B.}, + publisher = {VCH Publishers}, + address = {New York}, + volume = {8}, + pages = {245-297}, + keywords = {ab initio quantum calculations +nuclear magnetic resonance; NMR +standard review}, + year = {1996} +} + + author = {Chew, Soo Hong and Zheng, Quan}, + title = {Integral global optimization: theory, implementation, and applications}, + publisher = {Springer-Verlag}, + address = {Berlin; New York}, + note = {87038126 +Chew Soo Hong, Zheng Quan. +Lecture notes in economics and mathematical systems; 298. +Bibliography: p. [177]-179.}, + keywords = {Mathematical optimization. +Nonlinear programming.}, + year = {1988} +} + +@article{Chiang2002, + author = {Chiang, K. S. and Wong, C.H. and Cheng, S.Y. and Chan, H.P.}, + title = {Refractive-index profiling of graded-index planar waveguides from effective indexes measured with different external refractive indexes}, + journal = {J. of Lightwave Technology}, + volume = {18}, + pages = {1412-1417}, + year = {2000} +} + + author = {Chiang, K. S. and Wong, C.L. and Chan, H.P. and Chow, Y.T}, + title = {Reftractive-index profiling of graded-index planar waveguides from effective indexes measured for both mode types and at different wavelengths}, + journal = {J. of Lightwave Technology}, + volume = {14}, + pages = {827-832}, + year = {1996} +} + +@inproceedings{Chiclana2000_IPMU, + author = {Chiclana, F. and Herrera, F. and Herrera-Viedma, E.}, + title = {The ordered weighted geometric operator: properties and applications}, + booktitle = {8th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-based Systems}, + address = {Madrid}, + pages = {985-991}, + year = {2000} +} + +@article{Choquet-53, + author = {Choquet, G.}, + title = {Theory of Capacities}, + journal = {Ann. Inst. Fourier}, + volume = {5 }, + pages = {1953-1954}, + year = {1953} +} + + author = {Christendat, D. and Yee, A. and Dharamsi, A. and Kluger, Y. and Savchenko, A. and Cort, J.R. and Booth, V. and Mackereth, C.D. and Saridakis, V. and Ekiel, I. and Kozlov, G. and Maxwell, K.L. and Wu, N. and McIntosh, L.P. and Gehring, K. and Kennedy, M.A. and Davidson, A.R. and Pai, E.F. and Gerstein, M. and Edwards, A.M. and Arrowsmith, C.H.}, + title = {Structural proteomics of an archaeon}, + journal = {Nature Structural Biology}, + volume = {7}, + number = {10}, + pages = {903-909}, + abstract = {A set of 424 nonmembrane proteins from Methanobacterium thermoautotrophicum were cloned, expressed and purified for structural studies. Of these, similar to 20% were found to be suitable candidates for X-ray crystallographic or NMR spectroscopic analysis without further optimization of conditions, providing an estimate of the number of the most accessible structural targets in the proteome. A retrospective analysis of the experimental behavior of these proteins suggested some simple relations between sequence and solubility. implying that data bases of protein properties will be useful in optimizing high throughput strategies. Of the first 10 structures determined, several provided clues to biochemical functions that were not detectable from sequence analysis, and in many cases these putative functions could be readily confirmed by biochemical methods. This demonstrates that structural proteomics is feasible and can play a central role in functional genomics.}, + keywords = {journal +protein-structure +alignment +genomics +classification +prediction +scop +gene}, + year = {2000} +} + +@book{Christofides1975_book, + author = {Christofides, N.}, + title = {Graph Theory - An Algorithmic Approach}, + publisher = {Academic Press}, + address = {New York}, + year = {1975} +} + +@article{Chu1977, + author = {Chu, P.L.}, + title = {Nondestructive measurement of index profile of an optical-fibre preform}, + journal = {Electron. Lett.}, + volume = {13}, + pages = {736-738}, + year = {1977} +} + +@book{Chvatal1983_book, + author = {Chvatal, V.}, + title = {Linear programming }, + publisher = {W.H. Freeman}, + address = {New York}, + year = {1983} +} + + author = {Ciccotti, C. and Ferrario, M. and Ryckaert, J.-P.}, + title = {Molecular dynamics of rigid molecules in cartesian coordinates: A general formulation}, + journal = {Mol. Phys.}, + volume = {47}, + number = {6}, + pages = {1253-1264}, + keywords = {constrained dynamics; holonomic constraints}, + year = {1982} +} + + author = {Ciccotti, C. and Ryckaert, J.-P.}, + title = {Molecular dynamics simulations of rigid molecules}, + journal = {Comput. Phys. Reports}, + volume = {4}, + pages = {345-392}, + keywords = {constrained dynamics; holonomic constraints}, + year = {1986} +} + + author = {Ciriani, Tito A. and Leachman, Robert C.}, + title = {Optimization in industry: mathematical programming and modeling techniques in practice}, + publisher = {Wiley and Sons}, + address = {Chichester, England; New York}, + note = {92021215 //r93 +edited by Tito A. Ciriani and Robert C. Leachman. +Proceedings of the 1991 IBM Europe Institute seminar. +Includes bibliographical references and index.}, + keywords = {Programming (Mathematics) Congresses. +Mathematical models Congresses.}, + year = {1993} +} + +@misc{Cizek2007, + author = {Cizek, P.}, + title = {General Trimmed Estimation: Robust Approach to Nonlinear and Limited Dependent Variable Models}, + abstract = {High breakdown-point regression estimators protect against large errors and data con- tamination. We generalize the concept of trimming used by many of these robust estima- tors, such as the least trimmed squares and maximum trimmed likelihood, and propose a general trimmed estimator, which renders robust estimators applicable far beyond the standard (non)linear regression models. We derive here the consistency and asymptotic distribution of the proposed general trimmed estimator under mild B-mixing conditions and demonstrate its applicability in nonlinear regression and limited dependent variable models.}, + year = {2007} +} + +@article{Cizek2008, + author = {Cizek, P.}, + title = {Efficient robust estimation of time-series regression models}, + journal = {Applications of Mathematics}, + volume = {53}, + number = {3}, + pages = {267-279}, + abstract = {The paper studies a new class of robust regression estimators based on the two-step least weighted squares (2S-LWS) estimator which employs data-adaptive weights determined from the empirical distribution or quantile functions of regression residuals obtained from an initial robust fit. Just like many existing two-step robust methods, the proposed 2S-LWS estimator preserves robust properties of the initial robust estimate. However, contrary to the existing methods, the first-order asymptotic behavior of 2S-LWS is fully independent of the initial estimate under mild conditions. We propose data-adaptive weighting schemes that perform well both in the cross-section and time-series data and prove the asymptotic normality and efficiency of the resulting procedure. A simulation study documents these theoretical properties in finite samples.}, + year = {2008} +} + +@article{Cizek2008, + author = {Cizek, P.}, + title = {Semiparametric Robust Estimation of Truncated and Censored Regression Models}, + journal = {IDEAS}, + abstract = {Many estimation methods of truncated and censored regression models such as the maximum likelihood and symmetrically censored least squares (SCLS) are sensitive to outliers and data contamination as we document. Therefore, we propose a semipara- metric general trimmed estimator (GTE) of truncated and censored regression, which is highly robust and relatively imprecise. To improve its performance, we also propose data-adaptive and one-step trimmed estimators. We derive the robust and asymptotic properties of all proposed estimators and show that the one-step estimators (e.g., one-step SCLS) are as robust as GTE and are asymptotically equivalent to the original estimator (e.g., SCLS). The infinite-sample properties of existing and proposed estimators are studied by means of Monte Carlo simulations.}, + year = {2008} +} + +@misc{Cizek2009, + author = {Cizek, P.}, + title = {Generalized Methods of Trimmed Moments}, + pages = {42 pp.}, + abstract = {High breakdown-point regression estimators protect against large errors and data contamination. We adapt and generalize the concept of trimming used by many of these robust estimators so that it can be employed in the context of the generalized method of moments. The proposed generalized method of trimmed moments (GMTM) offers a globally robust estimation approach (contrary to existing only locally robust estimators) applicable in econometric models identified and estimated using moment conditions. We derive the consistency and asymptotic distribution of GMTM in a general setting, propose a robust test of overidentifying conditions, and demonstrate the application of GMTM in the instrumental variable regression. We also compare the finite-sample performance of GMTM and existing estimators by means of Monte Carlo simulation.}, + year = {2009} +} + +@article{Cizek2006, + author = {Cížek, P}, + title = {Efficient robust estimation of regression models}, + journal = {CentER}, + volume = {2007}, + number = {October}, + pages = {40 pp.}, + abstract = {This paper introduces a new class of robust regression estimators. The proposed twostep +least weighted squares (2S-LWS) estimator employs data-adaptive weights determined +from the empirical distribution, quantile, or density functions of regression residuals obtained +from an initial robust fit. Just like many existing two-step robust methods, the +proposed 2S-LWS estimator preserves robust properties of the initial robust estimate. However +contrary to existing methods, the first-order asymptotic behavior of 2S-LWS is fully +independent of the initial estimate under mild conditions; most importantly, the initial estimator +does not need to be \sqrt{n} consistent. Moreover, we prove that 2S-LWS is asymptotically +normal under ¯-mixing conditions and asymptotically efficient if errors are normally +distributed. A simulation study documents these theoretical properties in finite samples; +in particular, the relative efficiency of 2S-LWS can reach 85–90% in samples of several tens +of observations under various distributional models.}, + year = {2006} +} + + author = {Cladera, A. and Gomez, E. and Estela, J.M. and Cerda, V.}, + title = {Effect of Variables Influencing S-1/2 in Sequential Injection Analysis - Extrapolability of S-1/2 Based Results Between SIA Designs}, + journal = {Talanta}, + volume = {43}, + number = {10}, + pages = {1667-1674}, + note = {This paper reports a study of the effect of instrumental, physical and chemical variables on S1/2 and the geometry of the dispersion profiles for SIA. The concentration of bromothymol blue and its ionic strength were observed to have an effect on S1/2, methylene blue and malachite green did not result in the same effect. Decreasing flow rates resulted in increasing S1/2 values. The greater the diameter and length of the reaction loop, the greater the S1/2. The path reavelled inside the holding coil greatly affected dispersion as a result of longer distance travelled.}, + abstract = {The influence of variables including ionic strength, propulsion rate and instrumental design parameters on dispersion in a sequential injection analysis system was studied via S-1/2 and several other parameters related to the dispersion profile. The influence of such parameters on a real system was evaluated in the reaction of Fe(II) with o-phenanthroline by optimizing various instrumental designs using the simplex method and comparing the results. [References: 6]}, + keywords = {Sequential injection analysis (SIA)/ S-1/2}, + year = {1996} +} + + author = {Clarke, D.L. and Oref, I. and Gilbert, R.G. and Lim, K.F.}, + title = {Collisional energy transfer in highly excited molecules: Calculations of the dependence on temperature and internal, rotational and translational energy}, + journal = {J. Chem. Phys.}, + volume = {96}, + number = {8}, + pages = {5983-5998}, + keywords = {azulene +xenon +collisional energy transfer (CET) +rotational energy transfer (RET) +quasiclassical trajectory (QCT)}, + year = {1992} +} + +@book{Clarke1983, + author = {Clarke, F.H.}, + title = {Optimization and Nonsmooth Analysis}, + publisher = {John Wiley}, + address = {New York}, + year = {1983} +} + +@article{Clements1990_SIAM, + author = {Clements, J.C.}, + title = {Convexity-preserving piecewise rational cubic interpolation}, + journal = {SIAM J. Numer. Anal.}, + volume = {27}, + pages = {1016-1023}, + year = {1990} +} + +@article{Clements1990, + author = {Clements, J.C.}, + title = {Convexity-Preserving Piecewise Rational Cubic Interpolation}, + journal = {SIAM Journal on Numerical Analysis}, + volume = {27}, + number = {4}, + pages = {1016-1023}, + year = {1990} +} + + author = {Coetzee, Frans M. and Stonick, Virginia L.}, + title = {On the uniqueness of weights in single-layer perceptrons}, + journal = {IEEE Transactions on Neural Networks}, + volume = {7}, + number = {2}, + pages = {p318(8)}, + abstract = {In this paper the geometric formulation of the single layer perceptron weight optimization problem previously described in [1] and [2] is combined with results [3]-[7] on nonconvex set projections to describe sufficient conditions for uniqueness of weight solutions. It is shown that the perceptron data surface is pseudoconvex and has infinite folding, allowing for the specification of a region of desired vectors having unique projections purely in terms of the local curvature of the data surface. No information is therefore required regarding the global curvature or size of the data surface. These results in principle allow for a posteriori evaluation of whether a weight solution is unique or globally optimal, and for a priori scaling of desired vector values to ensure uniqueness, through analysis of the input data. The practical applicability of these results from a numerical perspective is evaluated on some carefully chosen examples.}, + keywords = {Perceptrons Models +Neural networks Models +Mathematical optimization Analysis}, + year = {1996} +} + +@book{Cohen1996_book, + author = {Cohen, N.C.}, + title = {Guidebook on Molecular Modeling in Drug Design}, + publisher = {Academic Press}, + address = {San Diego}, + year = {1996} +} + + author = {Cohen, N.C. and Colin, P. and Lemoine, G.}, + title = {Script: interactive molecular geometrical treatments on the basis of computer-drawn chemical formula}, + journal = {Tetrahedron}, + volume = {37}, + number = {9}, + pages = {1711-1721}, + abstract = {SCRIPT is a conversational computer program which reveals the conformers and their relative energies for a given organic compound. The exploration of the conformational potential surface is based on a molecular mechanics model using a strain energy minimization criterion. The description of the investigated molecule consists of the drawing of its chemical formula on a cathode ray tube. The perception of the molecule through transforming the chemical formula into all the necessary molecular descriptors (topologic, geometric and energetic) is entirely automatic. The logical basis for the generation of the characteristic starting points representing all the possible conformers of the molecule is presented, and some specific algorithms of general utility in the conformational analysis of cyclic moieties are developed. Some features of the program are shown in a study of 17 substituted (Delta)14-unsaturated steroids in conjunction with Toromanoff's theory of the steric course of the cis addition to cyclo-olefins. Our calculations show that bulky substituents at 17(alpha) lead to a more stable quasi-cis C/D conformation which cannot be constructed with standard Dreiding models and, to our knowledge, would be the first example of such an unusual geometry of the C/D moiety of (Delta)14-steroids. }, + keywords = {journal}, + year = {1981} +} + + author = {Collins, M.A. and Lim, K.F. and Linhananta, A.}, + title = {Application of interpolated potential energy surfaces to collisional energy transfer}, + booktitle = {Conference on Physical Chemistry}, + address = {Christchurch, New Zealand}, + abstract = {The prediction of collisional energy transfer (CET) rates is important for the modelling of combustion and atmospheric processes. In particular, computational simulations have the ability to obtain two-dimensional (E,J) data which are required for accurate master equation modelling, but these simulations are handicapped by the lack of reliable potential energy surfaces (PESs). + +We have developed a method for interpolation of ab initio molecular PESs, where the ab initio data points are chosen deterministically, but in a quasi-random manner with importance sampling. The PESs, thus constructed, have proven to be very successful for classical and quantum simulations of reacting systems, where there is strong PES coupling between the various internal coordinates. + +The use of these interpolated ab initio PESs for CET simulations presents interesting theoretical challenges, since the PES can be separated into an intramolecular part with strong coupling, and an intermolecular part with weak coupling. Here we present methodology for the interpolation of separable potential energy surfaces and application to investigation of CET between a simple hydrocarbon fuel molecule and inert bath gas.}, + keywords = {Royal Australian Chemical Institute (RACI) +Royal Society of Chemistry (RSC) +New Zealand Institute of Chemistry (NZIC)}, + year = {2002} +} + + author = {Combet, C. and Jambon, M. and Deleage, G. and Geourjon, C.}, + title = {Geno3D: automatic comparative molecular modelling of protein}, + journal = {Bioinformatics}, + volume = {18}, + number = {1}, + pages = {213-214}, + note = {Geno3D (http://geno3d-pbil.ibcp.fr) is an automatic web server for protein molecular modelling. Starting with a query protein sequence, the server performs the homology modelling in six successive steps: (1) identify homologous proteins with known 3D structures by using PSI-BLAST; (5) provide the user all potential templates through a very convenient user interface for target selection; (iii) perform the alignment of both query and subject sequences; (iv) extract geometrical restraints (dihedral angles and distances) for corresponding atoms between the query and the template; (v) perform the 3D construction of the protein by using a distance geometry approach and (vi) finally send the results by e-mail to the user. +Availability: Free to academic users}, + keywords = {journal}, + year = {2002} +} + +@article{Hawkins1993_SPL, + author = {Cook, R.D. and Hawkins, D. M. and Weisberg, S.}, + title = {Exact Computation of the Robust Multivariate Minimum Volume Ellipsoid Estimator}, + journal = {Statistics and Probability Letters}, + volume = {16 }, + pages = {213-218}, + year = {1993} +} + +@article{Cooper1995_jcm, + author = {Cooper, D.A.}, + title = {Learning Lipschitz functions}, + journal = {Int. J. of Computer Mathematics}, + volume = {59}, + pages = {15-26}, + year = {1995} +} + + author = {Cootes, A.P. and Curmi, P.M.G. and Torda, A.E.}, + title = {Automated protein design and sequence optimisation: Scoring functions and the search problem}, + journal = {Curr. Prot. Pept. Sci.}, + volume = {3}, + pages = {255-271}, + year = {2000} +} + + author = {Cootes, A.P. and Curmi, P.M.G. and Torda, A.E.}, + title = {Biased Monte Carlo optimisation of protein sequences}, + journal = {Journal of Chemical Physics}, + volume = {113}, + pages = {2849-2496}, + year = {2000} +} + + author = {Cormen, Thomas H. and Leiserson, Charles Eric and Rivest, Ronald L.}, + title = {Introduction to algorithms}, + publisher = {MIT Press; +McGraw-Hill}, + address = {Cambridge, Mass. +New York}, + series = {MIT electrical engineering and computer science series.}, + note = {89013027 //r91 +Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest. +Includes bibliographcal references (p. [987]-996) and index. +Algorithms.}, + keywords = {Computer programming. +Computer algorithms.}, + year = {1990} +} + +@book{Cormen2001, + author = {Cormen, T.H. and Leiserson, C.E. and Rivest, R.L. and Stein, C.}, + title = {Introduction to Algorithms}, + publisher = {MIP Press}, + edition = {3rd }, + year = {2009} +} + +@article{Cost1993_ML, + author = {Cost, S. and Salzberg, S.}, + title = {A Weighted Nearest Neighbor Algorithm for Learning with Symbolic Features}, + journal = {Machine Learning}, + volume = {10}, + pages = {57-78}, + year = {1993} +} + +@article{Constantini1990_SIAM, + author = {Costantini, P. and Fontanella, F.}, + title = {Shape-preserving bivariate interpolation}, + journal = {SIAM J. Numer. Anal.}, + volume = {22}, + pages = {488-506}, + year = {1985} +} + +@article{Constantini1996_CAGD1, + author = {Costantini, P. and Manni, C.}, + title = {A bicubic shape-preserving blending scheme}, + journal = {Computer Aided Geometric Design}, + volume = {13}, + pages = {307-331}, + year = {1996} +} + +@article{Constantini1996_JCAM1, + author = {Costantini, P. and Manni, C.}, + title = {Comonotone parametric C1 interpolation of nongridded data}, + journal = {J. Comp. Appl. Math.}, + volume = {75}, + pages = {147-169}, + year = {1996} +} + +@article{Constantini1996_CAGD, + author = {Costantini, P. and Manni, C.}, + title = {Monotonicity-preserving interpolation of nongridded data}, + journal = {Computer Aided Geometric Design}, + volume = {13}, + pages = {467-497}, + year = {1996} +} + +@article{Constantini1996_JCAM, + author = {Costantini, P. and Manni, C.}, + title = {On a class of polynomial triangular macro-elements}, + journal = {J. Comp. Appl. Math.}, + volume = {73}, + pages = {45-64}, + year = {1996} +} + +@article{Constantini1999_CAGD, + author = {Costantini, P. and Manni, C.}, + title = {A local shape-preserving interpolation scheme for scattered data}, + journal = {Computer Aided Geometric Design}, + volume = {16}, + pages = {385-405}, + year = {1999} +} + +@book{Cottle1992_book, + author = {Cottle, R.W. and Pang, J.-S. and Stone, R.E.}, + title = {The Linear Complementarity Problem }, + publisher = {Academic Press}, + address = {San Diego, CA}, + year = {1992} +} + +@article{Cover1967, + author = {Cover, T. and Hart, P.}, + title = {Nearest neighbor pattern classification}, + journal = {Information Theory, IEEE Transactions on}, + volume = {13}, + number = {1}, + pages = {21-27}, + keywords = {Pattern classification}, + year = {1967} +} + + author = {Cramer, C.J.}, + title = {Essentials of Computational Chemistry: Theories and Models}, + publisher = {John Wiley and Sons}, + address = {Chichester}, + abstract = {What are Theory, Computation and Modeling? +Molecular Mechanics +Simulations of Molecular Ensembles +Foundations of Molecular Orbital Theory +Semiempirical Implementations of Molecular Orbital Theory +Ab Initio Implementations of Hartree-Fock Molecular Orbital Theory +Including Electron Correlation in Molecular Orbital Theory +Density Functional Theory +Charge Distribution and Spectroscopic Properties +Thermodynamic Properties +Implicit Models for Condensed Phases +Explicit Models for Condensed Phases +Hybrid Quantal/Classical Models +Excited Electronic States +Adiabatic Reaction Dynamics +Appendix A Acronym Glossary +Appendix B Symmetry and Group Theory +Appendix C Spin Algebra +Appendix D Orbital Localization}, + keywords = {ab initio quantum calculations +classical trajectory (CT) +computer-aided instruction (CAI) +density-functional theory; DFT +education +graduate text +molecular mechanics (MM) +molecular modelling +molecular orbital (MO) theory +potential energy surface (PES) +quantum mechanics +self-consistent field; SCF +semiempirical theory +standard review +standard text +transition state theory (TST)}, + year = {2002} +} + + author = {Cranor, L.}, + title = {Declared-Strategy Voting: An Instrument for Group Decision Making}, + university = {Washington University}, + type = {D. Sc.}, + year = {1996} +} + +@article{CraWahba1979, + author = {Craven, P. and Wahba, G.}, + title = {Smoothing noisy data with spline functions}, + journal = {Numerische Mathematik}, + volume = {31}, + number = {4}, + pages = {377-403}, + keywords = {Mathematics and Statistics}, + year = {1978} +} + +@article{Wahba1975, + author = {Craven, Peter and Wahba, Grace}, + title = {Smoothing noisy data with spline functions}, + journal = {Numerische Mathematik}, + volume = {31}, + number = {4}, + pages = {377-403}, + keywords = {Mathematics and Statistics}, + year = {1978} +} + + author = {Crippen, G.M.}, + title = {The effect of distance constraints on macromolecular conformation. I. The effectiveness of the experimental studies on tobacco mosaic virus protein}, + journal = {Int. J. Pept. Prot. Res.}, + volume = {13}, + pages = {320-326}, + keywords = {distance geometry +protein +molecular conformation +molecular structure}, + year = {1978} +} + + author = {Crippen, G.M. and Havel, T.F.}, + title = {Stable calculation of coordinates from distance information}, + journal = {Acta Crystallogr., Sect. A}, + volume = {34}, + pages = {282}, + keywords = {journal +distance geometry +protein +molecular conformation +molecular structure}, + year = {1978} +} + + author = {Crippen, G.M. and Havel, T.F.}, + title = {Distance Geometry and Molecular Conformation}, + publisher = {Research Studies Press}, + address = {Taunton (UK)}, + volume = {15}, + series = {Chemometrics Research Studies Series}, + keywords = {distance geometry +protein +molecular conformation +Molecular biology +mathematical models}, + year = {1988} +} + + author = {Croasmun, W.R. and Carlson, R.M.K.}, + title = {Two-dimensional NMR Spectroscopy: Applications for Chemists and Biochemists}, + publisher = {VCH}, + address = {New York}, + edition = {2nd}, + series = {Methods in Stereochemical Analysis}, + note = {1. Introduction to Multidimensional NMR Methods / George A. Gray +2. Experimental Aspects of Two-Dimensional NMR / William E. Hull +3. Proton-Detected Heteronuclear and Multidimensional NMR / Christian Griesinger, Harald Schwalbe, Jurgen Schleucher and Michael Sattler +4. Computer-Aided Analysis of Multidimensional NMR Spectra / Hans Robert Kalbitzer +5. NMR of Peptides / Horst Kessler and Stephan Seip +6. Protein Structure Calculation Using NMR Restraints / H. Jane Dyson and Peter E. Wright +7. Studies of Nucleic Acid Structures Based on NMR Results / Igor Goljer and Philip H. Bolton +8. Two-Dimensional and Related NMR Methods in Structural Analyses of Oligosaccharides and Polysaccharides / Janusz Dabrowski +9. Steroid Structural Analysis by Two-Dimensional NMR / William R. Croasmun and Robert M. K. Carlson +10. Applications of Two-Dimensional NMR to the Characterization of Synthetic Organic Materials / Peter L. Rinaldi. +11. Two-Dimensional NMR in Natural Products and Pharmaceutical Chemistry / Gary E. Martin and Ronald C. Crouch}, + keywords = {nuclear magnetic resonance (NMR) +review}, + year = {1994} +} + + author = {Cruz, G. P. A. and Beliakov, G.}, + title = {Approximate Reasoning and Interpretation of Laboratory Tests in Medical Diagnostics}, + journal = {Cybernetics and Systems}, + volume = {26}, + number = {6}, + pages = {713-729}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Beliakov G POB 4027 MULGRAVE 3170 AUSTRALIA INST NACL CANCEROL BOGOTA COLOMBIA 0008}, + abstract = {In many real-world domains, such as medicine, human knowledge is by nature imprecise. As a consequence, the expert systems oriented to these domains must have specific tools to deal with the uncertainty. A commonly used approach is to equip the expert system with a computational capability to analyze the transmission of uncertainty from the premises to the conclusion. The theory of fuzzy sets provides a systematic framework for dealing with fuzzy quantifiers, such as many, few, and most, and linguistic variables like normal, increased, tall, small, and old. In this framework the results of laboratory tests (we refer to the area of medical diagnostics) that are precise may be interpreted in the terms of fuzzy propositions by means of membership functions. This approach permits the expert system to employ the same inference engine used to deal with the imprecise information provided by physicians. In this paper we describe a method for the construction of the membership functions using the statistical data and the range of normal values. This information induces a specific metric and the value of the membership function is defined as the normalized distance from the point to the margin of the corresponding crisp set. We show how to build the membership function for the intersubject fuzziness and present a method for interactive refinement of the obtained curves.}, + keywords = {Ai, robotics and automatic control. +Reprint available from: Beliakov G. POB 4027, MULGRAVE 3170, AUSTRALIA, +.}, + year = {1995} +} + + author = {Cruz, G. P. A. and Beliakov, G.}, + title = {Fuzzy Gating and the Problem of Screening}, + journal = {Artificial Intelligence in Medicine}, + volume = {8}, + number = {4}, + pages = {377-385}, + note = {Current Contents/Clinical Medicine. +Reprint available from: Beliakov G UNIV MELBOURNE DEPT MATH POB 4027 MULGRAVE VIC 3170 AUSTRALIA UNIV MELBOURNE DEPT MATH MULGRAVE VIC 3170 AUSTRALIA NATL CANC INST SANTA FE DE BOGOTA COLOMBIA 0004}, + abstract = {The problem of population screening is very important for medical statistics. It allows one to analyze the expression of certain parameters in the population of healthy persons, in order to compare it to the expression of these parameters in the persons with a specific disease. If a parameter is expressed differently in ill and healthy persons, then this parameter may serve as a pointer to the disease, especially in its earlier stages. While the analysis of given parameters in people with the established diagnosis does not represent many difficulties, the analysis of the general population is not easily carried out. The problem is that the general population contains both ill and healthy people. The population of healthy people is said to be 'contaminated' by the noise-subpopulation of ill people. The resulting statistical parameters are, therefore, biased and in order to find their correct values one needs to cancel out the input of the noise. In this paper we propose a new method to cancel out the noise, based on the theory of fuzzy sets. We assume that an auxiliary parameter is measured simultaneously and it is used to separate the subpopulations. If two subpopulations (the data and the noise) form clearly distinguished clusters in respect to this auxiliary parameter, one creates a gate and throws out the events outside the gate assuming that they are noise. However, when the clusters overlap, this procedure is no longer useful, and it is this particular situation for which we have developed fuzzy gating. In addition to the fact that the gate is fuzzified, a specifically designed algorithm is applied to compute the probability density functions for both subpopulations. Our algorithm gives a very high precision and is very robust as to the level of noise and the type of distributions. [References: 7] 7}, + keywords = {Fuzzy gating. Fuzzy sets. Robust statistics. Contaminated data. +Screening. +Research/laboratory medicine and medical technology. +Reprint available from: Beliakov G. UNIV MELBOURNE, DEPT MATH, POB 4027, +MULGRAVE.}, + year = {1996} +} + + author = {Cruz, G. P. A. and Beliakov, G.}, + title = {On the Interpretation of Certainty Factors in Expert Systems}, + journal = {Artificial Intelligence in Medicine}, + volume = {8}, + number = {1}, + pages = {1-14}, + note = {Current Contents/Clinical Medicine. +Reprint available from: Cruz GPA INST NACL CANCEROL DEPT HEMATOL AA 3350 BOGOTA COLOMBIA UNIV LOS ANDES DEPT MATH BOGOTA COLOMBIA 0001}, + abstract = {Despite the strong theoretical foundation the Bayesian probabilistic approach to model uncertainty in medicine meets many difficulties at the implementation step. One of these difficulties is related to a large amount of conditional probabilities to be assessed and in many cases this task was recognised to be practically insoluble. The MYCIN certainty factors model is a widely distributed pragmatical approach for modeling reasoning under uncertainty that substantially simplifies the problem, at the sacrifice of theoretical soundness. One can determine certainty factors as a function of prior and posterior probability. However, this approach is only consistent with the modularity axiom for certainty factors for tree-structure inference networks, which is rarely true for practical applications. In this paper we abandon the requirement of a direct probabilistic interpretation of certainty factors and build a model of propagation of uncertainty in terms of absolute belief and belief updates. We describe our model for propagating uncertainty in terms of matrix multiplication with specifically defined addition and multiplication which correspond to parallel and sequential combinations of certainty factors. It is possible to define these operations in such a manner that they form a field, and therefore to obtain some useful properties. Finally we present a method of determining certainty factors from statistical data using nonlinear regression and illustrate it with a leukemia diagnostics problem. [References: 14] 14}, + keywords = {Certainty factors. Probabilistic interpretation. Evidence combination. +Propagation of uncertainty. Inference networks. Absolute belief. +Belief update. +Research/laboratory medicine and medical technology. +Reprint available from: Cruz GPA. INST NACL CANCEROL, DEPT HEMATOL, AA +3350, BOGOTA.}, + year = {1996} +} + +@misc{Cuesta2008, + author = {Cuesta-Albertos, J. A. and Matran, C. and Agustin Mayo-Iscar, A.}, + title = {Trimming and likelihood: robust location and dispersion estimation in the elliptical model}, + abstract = {Robust estimators of location and dispersion are often used in the +elliptical model to obtain an uncontaminated and highly representative +subsample by trimming the data outside an ellipsoid based in +the associated Mahalanobis distance. Here we analyze some one (or +k)-step Maximum Likelihood Estimators computed on a subsample +obtained with such a procedure. +We introduce different models which arise naturally from the ways +in which the discarded data can be treated, leading to truncated or +censored likelihoods, as well as to a likelihood based on an only outliers +gross errors model. Results on existence, uniqueness, robustness +and asymptotic properties of the proposed estimators are included. +A remarkable fact is that the proposed estimators generally keep the +breakdown point of the initial (robust) estimators, but they could +improve the rate of convergence of the initial estimator because our +estimators always converge at rate n1/2, independently of the rate of +convergence of the initial estimator.}, + year = {2008} +} + +@article{Cuesta2008, + author = {Cuesta-Albertos, J.A. and Matrán, C. and Mayo-Iscar, A.}, + title = {Trimming and likelihood: robust location and dispersion estimation in the elliptical model}, + journal = {Ann. Statist.}, + volume = {36}, + number = {5}, + pages = {2284-2318}, + abstract = {MR2458188 (2010b:62095) Only summary in English?? +Review: The authors consider estimation of the parameter $\theta=(\mu,\Sigma)$ of a density $$ f_\theta(x)=|\Sigma|^{-1/2}g\left((x-\mu)^T\Sigma^{-1}(x-\mu)\right) $$ on $\Bbb{R}^p$, with nonincreasing $g$. They propose so-called one-step maximum likelihood estimators, i.e., they robustly estimate the minimum volume ellipsoid $A$ of the underlying distribution and then maximize a log-likelihood that is obtained from the original density, either by censoring or truncation, or a combination of the two, with respect to estimated $A_n$. Identifiability of the model is discussed, existence and uniqueness of the estimators is established, and the information matrix is provided. Furthermore, it is proven that the breakdown point of the one-step estimators preserves that of the robust estimator used to compute $A_n$ and the expression of the influence function is given. Finally, the one-step estimators are shown to be strongly consistent and asymptotically normal at rate $\sqrt{n}$. Remarkably, the asymptotic results are obtained independently of the rate of convergence of the initial robust estimator.}, + year = {2008} +} + + author = {Curtis, Michael A.}, + title = {Optimization by simulated annealing theory and chemometric applications}, + journal = {Journal of Chemical Education}, + volume = {71}, + number = {9}, + pages = {p775(4)}, + abstract = {Optimization by simulated annealing (SA) is a relatively simple, efficient technique for global optimization. The SA method is founded on statistical mechanics. Improvements to the SA technique led to development of the Generalized Simulated Annealing (GSA) method. SA has theoretical and analytical chemistry applications. SA computer programs can be written in all major programming languages.}, + keywords = {Mathematical optimization Technique +Simulated annealing (Mathematics) Usage +Chemical models Technique}, + year = {1994} +} + + author = {Cvijovic, Djurdje and Klinowski, Jacek}, + title = {Taboo search: an approach to the multiple minima problem}, + journal = {Science}, + volume = {267}, + number = {5198}, + pages = {p664(3)}, + note = {Text available}, + abstract = {Described here is a method, based on Glover's taboo search for discrete functions, of solving the multiple minima problem for continuous functions. As demonstrated by model calculations, the algorithm avoids entrapment in local minima and continues the search to give a near-optimal final solution. Unlike other methods of global optimization, this procedure is generally applicable, easy to implement, derivative-free, and conceptually simple.}, + keywords = {Maxima and minima Research +Algorithms Research}, + year = {1995} +} + + author = {Cyvin, S.J. and Wang, J.J. and Brunvoll, J. and Cao, S.M. and Li, Y. and Cyvin, B.N. and Wang, Y.G.}, + title = {Staggered conformers of alkanes - complete solution of the enumeration problem}, + journal = {Journal of Molecular Structure}, + volume = {413}, + number = {Special Issue SI}, + pages = {227-239}, + abstract = {Staggered conformers of alkanes are represented as chemical graphs by angle-restricted trees which can be embedded in a diamond lattice; they are referred to as alkane systems. The enumeration of unbranched alkane systems, which correspond to staggered n-alkanes, are revisited. When the branched systems are included the corresponding enumeration terms of generating functions. This solution pertains to both nonoverlapping and overlapping systems, where the latter category is characterized by the presence of vertices which occupy the same sites in the diamond lattice. Hand in hand with the mathematical solution, the alkane systems were also generated and enumerated by computer programming. In particular, this approach gave new information about the non-overlapping systems. Finally, several classes of systems, especially among the overlapping alkane systems, were generated by hand according to combinatorial constructions. A special classification of the alkane systems according to the constitutional isomers is supposed to be of particular interest in structural chemistry. Symmetry considerations, which imply the distribution of the alkane systems into sixteen symmetry groups, play an important role in this work.}, + keywords = {alkane +enumeration +generating function +staggered conformer +conformation +complete mathematical solution +phase electron-diffraction +polyene hydrocarbons +molecular structure +isomer enumeration +numbers +benzenoids +polyhexes}, + year = {1997} +} + +@book{Dagpunar1988_book, + author = {Dagpunar, J.}, + title = {Principles of random variate generation}, + publisher = {Clarendon Press}, + address = {Oxford}, + year = {1988} +} + + author = {Dakternieks, D. and Lim, A.E.K. and Lim, K.F.}, + title = {Electrospray mass spectrometric studies on the solution chemistry of triorganostannyl trifluoromethanesulfonates}, + journal = {Phosphorus, Sulfur and Silicon}, + volume = {150-151}, + pages = {339-356}, + keywords = {electrospray mass spectrometry; ES-MS; ESI-MS +nuclear magnetic resonance; NMR +organotin +cations +solution chemistry +journal}, + year = {1999} +} + + author = {Dakternieks, D. and Lim, A.E.K. and Lim, K.F.}, + title = {The gas-phase fragmentation of trineopentylstannyl cation: a rare example of beta-methyl migration within a main group organometallic compound}, + journal = {Chemical Communications}, + number = {15}, + pages = {1425-1426}, + keywords = {journal +collision-induced dissociation; CID +electrospray mass spectrometry; ES-MS; ESI-MS +ion-molecule +isotope labelling +tin; Sn +unimolecular reaction +ab initio quantum calculations +Rampsberger-Rice-Kassel-Marcus (RRKM) +organotin +cations}, + year = {1999} +} + + author = {Dasarathy, B}, + title = {Nearest neighbor pattern classification techniques}, + publisher = {IEEE Computer Society press}, + year = {1991} +} + +@book{Dasarathy1991_book, + author = {Dasarathy, B.V.}, + title = {Nearest neighbor norms: {NN} pattern classification techniques}, + publisher = {IEEE Computer Society Press}, + address = {Los Alamitos, CA}, + year = {1991} +} + +@book{orderstats1, + author = {David, H.A. and Nagaraja, H.N.}, + title = {Order Statistics}, + publisher = {Wiley}, + address = {Hoboken, NJ}, + edition = {3rd}, + year = {2003} +} + +@techreport{Davies2004, + author = {Davies, L. and Gather, U.}, + title = {Robust Statistics}, + institution = {Humboldt-Universität , Center for Applied Statistics and Economics (CASE) 2004, 20}, + year = {2004, 20} +} + + author = {Davis, A.P. and Joos, J.B.}, + journal = {Coordination Chemistry Reviews}, + volume = {240}, + number = {1-2}, + pages = {143–156}, + keywords = {review +journal +American Chemical Society (ACS)}, + year = {2003} +} + +@article{DeBaets2007_TFS, + author = {De Baets, B. and De Meyer, H.}, + title = {Orthogonal grid constructions of copulas}, + journal = {IEEE Trans. on Fuzzy Syst.}, + volume = {15}, + pages = {1053-1062}, + year = {2007} +} + +@article{DeBaets1999_fss, + author = {De Baets, B. and Fodor, J.}, + title = {Van Melle's combining function in MYCIN is a representable uninorm: An alternative proof}, + journal = {Fuzzy Sets and Systems}, + volume = {104}, + pages = {133-136}, + year = {1999} +} + +@article{Debaets1999_FSS, + author = {De Baets, B. and Mesiar, R.}, + title = {Triangular norms on product lattices}, + journal = {Fuzzy Sets and Systems}, + volume = {104}, + pages = {61-75}, + note = {doi: DOI: 10.1016/S0165-0114(98)00259-0}, + keywords = {(pseudo-)Archimedean property +Cancellation law +Cartesian product +Direct product +Idempotent element +Lattice +Nilpotent element +Partially ordered set +T-norm +Zero divisor}, + year = {1999} +} + +@incollection{deboor1977_invol, + author = {De Boor, C.}, + title = {Computational aspects of optimal recovery}, + booktitle = {Optimal Estimation in Approximation Theory}, + editor = {Micchelli, C.A. and Rivlin, T.J.}, + publisher = {Plenum Press}, + address = {New York}, + pages = {69-91}, + year = {1977} +} + +@book{deboor1978_book, + author = {De Boor, C.}, + title = {A Practical Guide to Splines}, + publisher = {Springer}, + address = {Berlin, New York}, + year = {1978} +} + +@book{deboor2001_book, + author = {De Boor, C.}, + title = {A Practical Guide to Splines}, + publisher = {Springer}, + address = {New York}, + edition = {Revised }, + year = {2001} +} + + author = {De Clercq, P.J.}, + title = {Systematic conformational analysis. A microcomputer method for the semiquantitative evaluation of polycyclic systems containing five-, six- and seven-membered rings. 1. Program characteristics}, + journal = {Tetrahedron}, + volume = {40}, + number = {19}, + pages = {3717-3727}, + abstract = {A computer program for the semiquantitative conformational evaluation of polycyclic systems, with focus on five-, six- and seven-membered carbocycles, is described. Starting from two-dimensional structural information of the product as input, the progam deduces the preferred geometry of the molecule, including conformer population distributions when the product is a conformational mixture. Relative enthalpy, entropy and relative free energy terms are also computed for the analyzed product. The SCA program is written in BASIC and has been designed for operation on microcomputer systems.}, + keywords = {journal}, + year = {1984} +} + + author = {De Clercq, P.J.}, + title = {Systematic conformational analysis. A microcomputer method for the semiquantitative evaluation of polycyclic systems containing five-, six- and seven-membered rings. 2. Scope and limitations}, + journal = {Tetrahedron}, + volume = {40}, + number = {19}, + pages = {3729-3738}, + abstract = {3729-3738 Several applications of the previously described microcomputer program for systematic conformational analysis of polycyclic systems (five-, six- and seven-membered rings)are discussed. Examples are given in relation to the prediction of the stereochemical outcome of a steric approach controlled reaction, to the prediction of the composition of isomerization equilibria and to the qualitative evaluation of strain in particular pretransitionstate geometries. Implications of the produced geometric and energetic (with focus on entropy) information are further discussed.}, + keywords = {journal}, + year = {1984} +} + +@inproceedings{Demeyer2005_EUSFLAT, + author = {De Meyer, H. and De Baets, B.}, + title = {Fitting piecewise linear copulas to data}, + booktitle = {4th Conf. of the Europ. Soc. for Fuzzy Logic and Technology}, + address = {Barcelona, Spain}, + year = {2005} +} + +@article{Dehne2010, + author = {Dehne, F. and Zaboli, H.}, + title = {Deterministic Sample Sort For GPUs}, + journal = {arXiv:1002.4464v1 }, + year = {2010} +} + +@article{Montero2001_EJOR, + author = {Del Amo, J. and Montero, J. and Molina, E.}, + title = {Representation of recursive rules}, + journal = {Europ. J. Operations Research}, + volume = {130}, + pages = {29-53}, + year = {2001} +} + +@article{Delbourgo1993, + author = {Delbourgo, Roger}, + title = {Accurate C2 rational interpolants in tension}, + journal = {SIAM J. Numer. Anal.}, + volume = {30}, + number = {2}, + pages = {595-607}, + year = {1993} +} + +@article{Delgado1993_IJIS, + author = {Delgado, M. and Verdegay, J. L. and Vila, M.A.}, + title = {On aggregation operations of linguistic labels}, + journal = {Int. J. Intelligent Systems}, + volume = {8}, + pages = {351-370}, + year = {1993} +} + + author = {Demirhan, M. and Ozdamar, L.}, + title = {A note on the use of a fuzzy approach in adaptive partitioning algorithms for global optimization}, + journal = {IEEE Transactions on Fuzzy Systems}, + volume = {7}, + number = {4}, + pages = {468-475}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Demirhan M Yeditepe Univ, Dept Syst Engn Uskudar TR-81130 Istanbul Turkey Yeditepe Univ, Dept Syst Engn TR-81130 Istanbul Turkey Istanbul Kultur Univ, Dept Comp Engn TR-80280 Istanbul Turkey 0010 IEEE Trans. Fuzzy Syst}, + abstract = {In global optimization, adaptive partitioning algorithms (APA) operate on the basis of partitioning the feasible region into subregions, sampling and evaluating each subregion, and selecting one or more subregions for repartitioning, The purpose of the repartitioning process is to locate a narrow neighborhood around the global optimum. In this correspondence, He propose to use a fuzzy approach in the assessment of subregions using random samples taken from these subregions. We discuss different types of uncertainties involved in APA and ne conclude that the use of a fuzzy approach in the assessment of subregions is in concurrence with APA's convergence property, We provide numerical results for the fuzzy approach on 13 test functions from the literature. [References: 27] 27}, + keywords = {Adaptive partitioning algorithms. Fuzzy uncertainty. Global +optimization. Probabilistic uncertainty. +Software. +AI, Robotics, and Automatic Control in Current Contents(R)/Engineering, +Computing and Technology. +1999 week 38 +Reprint available from: Demirhan M. Yeditepe Univ, Dept Syst Engn, +Uskudar, TR-81130 Istanbul, Turkey.}, + year = {1999} +} + + author = {Demura, M. and Noda, M. and Kajimoto, T. and Uchiyama, T. and Umemoto, K. and Wong, C.H. and Asakura, T.}, + title = {Solution structure of sialyl Lewis X mimics studied by two-dimensional NMR}, + journal = {Journal of Molecular Structure}, + volume = {602}, + number = {Special Issue SI}, + pages = {215-222}, + abstract = {A structure of the peptidic mimic of sialyl Lewis X (SLex) (alpha-N-acetyl-neuraminyl-(2,3)-beta-D-galactopyranosyl-(1,4)-[alpha-L-fucop yranosyl-(1,3)-beta-D-N-acetyl-glucosamine]) in an aqueous solution was studied using two-dimensional H-1 NNM spectroscopy. Complete assignments of H-1 NMR chemical shift of the SLex mimic have been performed. The presence of three conformers of the SLex mimic in a solution was proposed by using distance geometry calculation based on NOE constraints, which were obtained from NOESY experiments. In addition, intermolecular interaction between the mimic and the crystal structure of E-selectin was refined using molecular dynamics. This suggested the conformational rearrangement of the functional groups of the conformers to the active sites of E-selectin. The relationship between the binding activities toward E-selectin and the three-dimensional structures of other mimics was also discussed.}, + keywords = {E-selectin +analogs +design +inhibitors +molecular dynamics (MD) +nuclear magnetic resonance (NMR) +conformational analysis +distance geometry +molecular structure +molecular recognition}, + year = {2002} +} + +@book{Demyanov1986, + author = {Demyanov, V. F. and Rubinov, A.}, + title = {Quasi-differential Calculus}, + publisher = {Optimization Software, Inc.}, + address = {New York}, + year = {1986} +} + +@book{Demyanov1995_book, + author = {Demyanov, V.F and Rubinov, A.M.}, + title = {Constructive Nonsmooth Analysis}, + publisher = {Peter Lang}, + address = {Frankfurt am Main}, + year = {1995} +} + + author = {Demyanov, V. F. and Rubinov, A. M.}, + title = {An introduction to quasidifferential calculus}, + journal = {Quasidifferentiability and Related Topics}, + year = {2000} +} + + author = {Demyanov, V. F. and Rubinov, A. M.}, + title = {Radiant sets and their gauges}, + booktitle = {Quasidifferentiability and Related Topics}, + pages = {235-261}, + keywords = {Radiant sets. Radiative sets. Star-shaped sets. Minkowski gauges. +Separation. +None +Current Book Contents in Current Contents(R)/Physical, Chemical and Earth +Sciences. +2001 week 02 +Reprint available from: Rubinov AM. Univ Ballarat, Sch Informat Technol and +Math Sci, Ballarat, Vic 3353, Australia.}, + year = {2000} +} + + author = {Deng-Feng, Li}, + title = {TOPSIS-Based Nonlinear-Programming Methodology for Multiattribute Decision Making With Interval-Valued Intuitionistic Fuzzy Sets}, + journal = {Fuzzy Systems, IEEE Transactions on}, + volume = {18}, + number = {2}, + pages = {299-311}, + keywords = {decision making +fuzzy set theory +nonlinear programming +TOPSIS-based nonlinear-programming methodology +decision-making processes +interval-valued intuitionistic fuzzy sets +multiattribute decision making +weighted-Euclidean distance}, + +} + +@book{Denneberg1994_book, + author = {Denneberg, D.}, + title = {Non-additive Measure and Integral}, + publisher = {Kluwer}, + address = {Dordrecht}, + year = {1994} +} + +@incollection{Denneberg2000_invol, + author = {Denneberg, D.}, + title = {Non-additive measure and integral, basic concepts and their role for applications}, + booktitle = {Fuzzy Measures and Integrals.Theory and Applications}, + editor = {Grabisch, M. and Murofushi, T. and Sugeno, M.}, + publisher = {Physica-Verlag}, + address = {Heidelberg}, + pages = {42-69}, + year = {2000} +} + +@incollection{den-20, + author = {Denneberg, D.}, + title = {Non--additive measure and integral, basic concepts and their role for applications}, + booktitle = {Fuzzy Measures and Integrals.Theory and Applications}, + editor = {Grabisch, M. and Murofushi, T. and Sugeno, M.}, + publisher = {Physica-Verlag}, + address = {Heidelberg}, + pages = {42-69}, + year = {2000} +} + +@book{Dennenberg1994_book, + author = {Dennenberg, D.}, + title = {Non-Additive Measure and Integral}, + publisher = {Kluwer Academic Publishers}, + address = { Dordrecht, Boston}, + year = {1994} +} + +@book{Dennis1983_book, + author = {Dennis, J.E. and Schnabel, R. B.}, + title = {Numerical Methods for Unconstrained Optimization and Nonlinear Equations }, + publisher = {Prentice-Hall}, + address = {Englewood Cliffs, NJ}, + year = {1983} +} + +@article{Deschrijver2006_FSS, + author = {Deschrijver, G.}, + title = {The {A}rchimedean property for t-norms in interval-valued fuzzy set theory}, + journal = {Fuzzy Sets and Systems}, + volume = {157}, + pages = {2311-2327}, + year = {2006 } +} + +@article{Deschrijver2007_TFS, + author = {Deschrijver, G.}, + title = {Additive and multiplicative generators in interval-valued fuzzy set theory}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {in press}, + year = {2007} +} + +@article{Deschrijver2004_TFS, + author = {Deschrijver, G. and Cornelis, C. and Kerre, E.E.}, + title = {On the representation of intuitionistic fuzzy t-norms and t-conorms}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {12}, + pages = {45?61}, + year = {2004} +} + +@article{Desh2005, + author = {Deschrijver, G. and Kerre, E.}, + title = {Implicators based on binary aggregation operators in interval-valued fuzzy set theory}, + journal = {Fuzzy Sets and Systems}, + volume = {153}, + pages = {229-248}, + year = {2005} +} + +@incollection{Desh2008, + author = {Deschrijver, G. and Kerre, E.}, + title = {Aggregation Operators in Interval-valued Fuzzy and Atanassov's Intuitionistic Fuzzy Set Theory}, + booktitle = {Fuzzy Sets and Their Extensions: Representation, Aggregation and Models +}, + editor = {Bustince, H. and Herrera, F. and Montero, J.}, + publisher = {Springer}, + address = {Heidelberg, New York}, + pages = {183-203}, + year = {2008} +} + + author = {Devillers, J.}, + title = {Genetic algorithms in molecular modeling}, + publisher = {Academic Press}, + address = {London; San Diego, CA}, + series = {Principles of QSAR and drug design; 1.}, + note = {edited by James Devillers. +Includes bibliographical references and index.}, + keywords = {Genetic algorithms. +Evolutionary programming (Computer science) +Combinatorial optimization. +Molecules Models. +QSAR (Biochemistry)}, + year = {1996} +} + +@book{Devroye1986_book, + author = {Devroye, Luc}, + title = {Non-uniform random variate generation}, + publisher = {Springer Verlag}, + address = {New York}, + note = {86003783}, + keywords = {Random variables.}, + year = {1986} +} + +@incollection{Devroye1996_ACM, + author = {Devroye, L.}, + title = {Random variate generation in one line of code}, + booktitle = {Winter Simulation Conference Proceedings}, + editor = {Charnes, J.M. and Morrice, D.J. and Brunner, D.T. and Swain, J.J.}, + publisher = {ACM}, + pages = {265-272}, + year = {1996} +} + +@book{deza_book, + author = {Deza, E. and Deza, M.M.}, + title = {Dictionary of Distances}, + publisher = {Elsevier}, + address = {Amsterdam}, + year = {2006} +} + +@book{Dierckx1995_book, + author = {Dierckx, P.}, + title = {Curve and surface fitting with splines}, + publisher = {Clarendon press}, + address = {Oxford}, + year = {1995} +} + + author = {Dietterich, T. and Lathrop, R. and Lozano Perez, T.}, + title = {Solving the multipleinstance problem with axisparallel rectangles}, + journal = {Artificial Intelligence}, + volume = {89}, + number = {12}, + pages = {31-71}, + year = {1997} +} + + author = {Dixon, L. C. W. and Jha, M.}, + title = {Parallel Algorithms for Global Optimization}, + journal = {Journal of Optimization Theory and Applications}, + volume = {79}, + number = {2}, + pages = {385-395}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Dixon LCW UNIV HERTFORDSHIRE CTR NUMER OPTIMISAT HATFIELD HERTS ENGLAND 0009}, + abstract = {In this paper, we report results of implementations of algorithms designed (i) to solve the global optimization problem (GOP) and (ii) to run on a parallel network of transputers. There have always been two alternative approaches to the solution of the GOP, probabilistic and deterministic. Interval methods can be implemented on our network of transputers using Concurrent ADA, and a secondary objective of the tests reported was to investigate the relative computer times required by parallel interval algorithms compared to probabilistic methods. [References: 12] 12}, + keywords = {Global optimization. Parallel computing. Transputer performance. +Interval methods. +Mathematics. +Reprint available from: Dixon LCW. UNIV HERTFORDSHIRE, CTR NUMER +OPTIMISAT, HATFIELD, HERTS.}, + year = {1993} +} + +@article{Djouadi1997, + author = {Djouadi, Abdelhamid and Bouktache, Essaid}, + title = {A Fast Algorithm for the Nearest-Neighbor Classifier}, + journal = {IEEE Trans. Pattern Anal. Mach. Intell.}, + volume = {19}, + number = {3}, + pages = {277-282}, + note = {248879}, + year = {1997} +} + + author = {Djouadi, Abdelhamid and Bouktache, Essaid}, + title = {A Fast Algorithm for the Nearest-Neighbor Classifier}, + journal = {IEEE Trans. Pattern Anal. Mach. Intell.}, + volume = {19}, + number = {3}, + pages = {277-282}, + note = {248879}, + year = {1997} +} + +@article{Dombi1982_ejor, + author = {Dombi, J.}, + title = {Basic concepts for a theory of evaluation: The aggregative operator}, + journal = {Europ. J. Oper. Res.}, + volume = {10}, + pages = {282-293}, + year = {1982} +} + +@article{Dombi1982_fss, + author = {Dombi, J.}, + title = {A general class of fuzzy operators, the de Morgan class of fuzzy operators and fuzziness measures induced by fuzzy operators}, + journal = {Fuzzy Sets and Systems}, + volume = {8}, + pages = {149-163}, + year = {1982} +} + + author = {Dong, Q.F. and Wu, Z.J.}, + title = {A linear-time algorithm for solving the molecular distance geometry problem with exact inter-atomic distances}, + journal = {Journal of Global Optimization}, + volume = {22}, + number = {1-4}, + pages = {365-375}, + abstract = {We describe a linear-time algorithm for solving the molecular distance geometry problem with exact distances between all pairs of atoms. This problem needs to be solved in every iteration of general distance geometry algorithms for protein modeling such as the EMBED algorithm by Crippen and Havel (Distance Geometry and Molecular Conformation, Wiley, 1988). However, previous approaches to the problem rely on decomposing an distance matrix or minimizing an error function and require O(n(2)) to O((3)) floating point operations. The linear-time algorithm will provide a much more efficient approach to the problem, especially in large-scale applications. It exploits the problem structure and hence is able to identify infeasible data more easily as well.}, + keywords = {global optimization +distance geometry +Hiv-1 reverse-transcriptase +Protein structure determination +numerical linear algebra and optimization}, + year = {2002} +} + + author = {Dong, Q.F. and Wu, Z.J.}, + title = {A geometric build-up algorithm for solving the molecular distance geometry problem with sparse distance data}, + journal = {Journal of Global Optimization}, + abstract = {Nuclear magnetic resonance (NMR) structure modeling usually produces a sparse set of inter-atomic distances in protein. In order to calculate the three-dimensional structure of protein, current approaches need to estimate all other "missing" distances to build a full set of distances. However, the estimation step is costly and prone to introducing errors. In this report, we describe a geometric build-up algorithm for solving protein structure by using only a sparse set of inter-atomic distances. Such a sparse set of distances can be obtained by combining NMR data with our knowledge on certain bond lengths and bond angles. It can also include confident estimations on some "missing" distances. Our algorithm utilizes a simple geometric relationship between coordinates and distances. The coordinates for each atom are calculated by using the coordinates of previously determined atoms and their distances. We have implemented the algorithm and tested it on several proteins. Our results showed that our algorithm successfully determined the protein structures with sparse sets of distances. Therefore, our algorithm reduces the need of estimating the "missing" distances and promises a more efficient approach to NMR structure modeling.}, + keywords = {global optimization +distance geometry +Protein structure determination +numerical linear algebra and optimization +molecular structure +distance geometry +protein structure determination +numerical linear algebra +optimization}, + year = {2003, to appear} +} + +@article{Dongarra1987_commacm, + author = {Dongarra, J.J. and Grosse, E.}, + title = {Distribution of mathematical software via electronic mail}, + journal = {Comm. ACM}, + volume = {30}, + pages = {403-440}, + year = {1987} +} + + author = {Draper, N.R. and Smith, H.}, + title = {Applied Regression Analysis}, + publisher = {Wiley-Interscience}, + address = {New York}, + series = {Wiley Series in Probability and Statistics}, + note = {0. Basic Prerequisite Knowledge +1. Fitting a Straight Line by Least Squares +2. Checking the Straight Line Fit +3. Fitting Straight Lines: Special Topics +4. Regression in Matrix Terms: Straight Line Case +5. The General Regression Situation +6. Extra Sums of Squares and Tests for Several Parameters Being Zero +7. Serial Correlation in the Residuals and the Durbin-Watson Test +8. More on Checking Fitted Models +9. Multiple Regression: Special Topics +10. Bias in Regression Estimates, and Expected Values of Mean Squares and Sums of Squares +11. On Worthwhile Regressions, Big F's, and R2 +12. Models Containing Functions of the Predictors, Including Polynomial Models +13. Transformation of the Response Variable +14. "Dummy" Variables +15. Selecting the "Best" Regression Equation +16. Ill-Conditioning in Regression Data +17. Ridge Regression +18. Generalized Linear Models (GLIM) +19. Mixture Ingredients as Predictor Variables +20. The Geometry of Least Squares +21. More Geometry of Least Squares +22. Orthogonal Polynomials and Summary Data +23. Multiple Regression Applied to Analysis of Variance Problems +24. An Introduction to Nonlinear Estimation +25. Robust Regression +26. Resampling Procedures (Bootstrapping)}, + year = {1998} +} + +@article{Dubois03_AI, + author = {Dubois, D. and Fargier, H. and Perny, P. }, + title = {Qualitative decision theory with preference relations and comparative uncertainty: An axiomatic approach}, + journal = {Artificial Intelligence}, + volume = {148}, + pages = {219-260}, + year = {2003 } +} + +@incollection{Dubois1997_invol, + author = {Dubois, D. and Fargier, H. and Prade, H.}, + title = {Beyond min aggregation in multicriteria decision: (Ordered) weighted min, discri-min, leximin}, + booktitle = {The Ordered Weighted Averaging Operators -- Theory and Applications}, + editor = {Yager, R. and Kacprzyk, J.}, + publisher = {Kluwer Academic Publ.}, + address = {Boston}, + pages = {181-192}, + year = {1997} +} + +@article{Dubois1991_FSS, + author = {Dubois, D. and Koning, J-L.}, + title = {Social choice axioms for fuzzy set aggregation}, + journal = {Fuzzy Sets and Systems}, + volume = {43}, + pages = {257-274}, + year = {1991} +} + +@article{Dubois2001_IJUFKS, + author = {Dubois, D. and Marichal, J.-L. and Prade, H. and Roubens, M. and Sabbadin, R.}, + title = {The use of the discrete {S}ugeno integral in decision making: a survey}, + journal = {Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems}, + volume = {9}, + pages = {539-561}, + year = {2001} +} + +@book{Dubois1980_book, + author = {Dubois, D. and Prade, H.}, + title = {Fuzzy Sets and Systems. Theory and Applications}, + publisher = {Academic Press}, + address = {New York}, + year = {1980} +} + +@article{Dubois1984_MS, + author = {Dubois, D. and Prade, H.}, + title = {Criteria aggregation and ranking of alternatives in the framework of fuzzy set theory}, + journal = {TIMS/Studies in the Management Sciences}, + volume = {20}, + pages = {209-240}, + year = {1984} +} + +@article{Dubois1985_is, + author = {Dubois, D. and Prade, H.}, + title = {A review of fuzzy set aggregation connectives}, + journal = {Information Sciences}, + volume = {36}, + pages = {85-121}, + year = {1985} +} + +@article{Dubois1986_IS, + author = {Dubois, D. and Prade, H.}, + title = {Weighted minimum and maximum operations in fuzzy sets theory}, + journal = {Inform. Sci.}, + volume = {39}, + pages = {205?210}, + year = {1986} +} + +@book{Dubois1988_book, + author = {Dubois, D. and Prade, H.}, + title = {Possibility Theory}, + publisher = {Plenum Press}, + address = {New York}, + year = {1988} +} + +@book{Dubois2000_book, + author = {Dubois, D. and Prade, H.}, + title = {Fundamentals of Fuzzy Sets}, + publisher = {Kluwer}, + address = {Boston}, + year = {2000} +} + +@book{Dubois2000_book, + author = {Dubois, D. and Prade, H.}, + title = {Fundamentals of Fuzzy Sets }, + publisher = {Kluwer}, + address = {Boston}, + year = {2000} +} + +@article{Dubois2004_FSS, + author = {Dubois, D. and Prade, H.}, + title = {On the use of aggregation operations in information fusion processes}, + journal = {Fuzzy Sets and Systems}, + volume = {142}, + pages = {143-161}, + year = {2004} +} + + author = {Duch, W. and Korczak, J.}, + title = {Optimization and global minimization methods suitable for neural networks}, + journal = {Neural computing surveys}, + year = {1999 (submitted)} +} + + author = {Duda, Richard O. and Hart, Peter E.}, + title = {Pattern classification and scene analysis}, + publisher = {Wiley}, + address = {New York,}, + note = {[by] Richard O. Duda [and] Peter E. Hart. +"A Wiley-interscience publication." +Includes bibliographies.}, + keywords = {Pattern recognition systems. +Statistical decision.}, + year = {1973} +} + +@article{Dudani1976_TSMS, + author = {Dudani, S.A.}, + title = {The distance-weighted k-nearest-neighbor rule}, + journal = {IEEE Trans. on Syst., Man, and Cybernetics}, + volume = {6}, + pages = {325?327}, + year = {1976} +} + +@article{Dujmovic1973, + author = {Dujmovic, J.J.}, + title = {Two integrals related to means}, + journal = {Univ. Beograd. Publ. Elektrotechn. Fak.}, + pages = {231-232}, + year = {1973} +} + +@article{Dujmovic1974, + author = {Dujmovic, J.J.}, + title = {Weighted conjunctive and disjunctive means and their application in system evaluation}, + journal = {Univ. Beograd. Publ. Elektrotechn. Fak.}, + pages = {147-158}, + year = {1974} +} + +@article{Dujmovic2007_TFS, + author = {Dujmovic, J.J.}, + title = {Continuous Preference Logic for System Evaluation}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {15}, + pages = {1082-1099}, + year = {2007} +} + + author = {Dumitrescu, D. and Jain, L. C. and Lazzerini, Beatrice}, + title = {Fuzzy sets and their application to clustering and training}, + publisher = {CRC Press}, + address = {Boca Raton, FL}, + note = {99088763 +D. Dumitrescu, B. Lazzerini, L.C. Jain. +Includes bibliographical references (p. 599-600) and index.}, + keywords = {Fuzzy sets. +Cluster analysis.}, + year = {2000} +} + + author = {Dunn, J.C.}, + title = {A fuzzy relative of the ISODATA process and its use in detecting compact, well separated clusters}, + journal = {Journal of Cybernetics}, + volume = {3}, + pages = {32-57}, + year = {1974} +} + +@article{Dyckhoff1984_fss, + author = {Dyckhoff, H. and Pedrycz, W.}, + title = {Generalized means as model of compensative connectives}, + journal = {Fuzzy Sets and Systems}, + volume = {14}, + pages = {143-154}, + year = {1984} +} + +@article{Eberlein1995_B, + author = {Eberlein, E. and Keller, U.}, + title = {Hyperbolic distributions in finance}, + journal = {Bernoulli}, + volume = {1}, + pages = {281-299}, + year = {1995} +} + + author = {Ebner, Th and Magele, Ch and Brandstatter, B. R. and Richter, K. R.}, + title = {Utilizing feed forward neural networks for acceleration fo global optimization procedures}, + journal = {IEEE Transactions on Magnetics}, + volume = {34}, + number = {5}, + pages = {p2928(4)}, + abstract = {Global optimization in Electrical Engineering usually requires an enormous amount of CPU time to evaluate the objective function when stochastic methods are used. Approximating the objective function can drastically reduce the computational demands. The use of Feed Forward Neural Networks is proposed in this paper and its application is investigated using a unconstrained and a constrained version of the TEAM Workshop problem 22. +Index terms - Neural networks, generalized functions, approximation methods, optimization methods}, + keywords = {Neural networks Usage +Stochastic approximation Usage +Mathematical optimization Research}, + year = {1998} +} + +@article{Edelsbrunner1986_DCG, + author = {Edelsbrunner, H. and Seidel, R.}, + title = {Voronoi diagrams and arrangements}, + journal = {Discrete and Comput. Geometry}, + volume = {1}, + pages = {25-44}, + year = {1986} +} + +@article{Edwards1977_TMSS, + author = {Edwards, W.}, + title = {How to use multIattribute utlhty measurement for social declslonmakmg}, + journal = {IEEE Trans. on Syst., Man, and Cybernetics}, + volume = {7}, + pages = {326-340}, + year = {1977} +} + +@book{Ehrgott2000_book, + author = {Ehrgott, M.}, + title = {Multicriteria Optimization}, + publisher = {Springer}, + address = {Berlin}, + year = {2000} +} + + author = {Ehrlich, L.P. and Wade, R.C.}, + title = {Protein-protein docking}, + booktitle = {Reviews in Computational Chemistry}, + editor = {Lipkowitz, K.B. and Boyd, D.B.}, + publisher = {Wiley-VCH}, + address = {New York}, + volume = {17}, + pages = {61-97}, + keywords = {potential energy surface (PES) +molecular mechanics (MM) +molecular modelling +standard review +journal +protein +docking +lock-and-key}, + year = {2001} +} + +@article{Eksterowicz1993_chemrev, + author = {Eksterowicz, J.E. and Houk, K.N.}, + title = {Transition state modeling with empirical force fields}, + journal = {Chemical Reviews}, + volume = {93}, + number = {7}, + pages = {2439-2461}, + note = {P540/C518}, + keywords = {review; Allinger's MM2 force field}, + year = {1993} +} + +@incollection{Eldershaw1997, + author = {Eldershaw, C. and Hegland, M.}, + title = {Cluster Analysis using Triangulation}, + booktitle = {Computational Techniques and Applications: CTAC97}, + editor = {Noye, B. J. and Teubner, M. D. and Gill, A. W.}, + publisher = {World Scientific}, + address = {Singapore}, + pages = {201-208}, + year = {1997} +} + +@article{ElfAnd1989, + author = {Elfving, Tommy and Andersson, Lars-Erik}, + title = {An algorithm for computing constrained smoothing spline functions}, + journal = {Numerische Mathematik}, + volume = {52}, + number = {5}, + pages = {583-595}, + keywords = {AMS(MOS): 41A15, 41A25, 41A29 +CR: G1.2}, + year = {1987} +} + +@article{Elfving1989_NM, + author = {Elfving, T. and Andersson, L.-E.}, + title = {An algorithm for computing constrained smoothing spline functions}, + journal = {Numer. Math.}, + volume = {52 }, + pages = {583-595}, + year = {1989} +} + +@article{Elf, + author = {Elfving, T. and Andersson, L.-E.}, + title = {An algorithm for computing constrained smoothing spline functions}, + journal = {Numer.Math.}, + volume = {52}, + pages = {583-595}, + year = {1989} +} + + author = {El-Melegy, M. and Essai, M. and Ali, A.}, + title = {Robust Training of Artificial Feedforward Neural Networks}, + booktitle = {Foundations of Computational, Intelligence }, + series = {Studies in Computational Intelligence}, + publisher = {Springer }, + address = {Berlin / Heidelberg}, + volume = {201}, + pages = {217-242}, + year = {2009} +} + +@misc{ENGE_URL, + author = {Enge, A.}, + title = {http://www.lix.polytechnique.fr/Labo/Andreas.Enge/Volumen.html}, + +} + + author = {Ergezinger, S. and Thomson, E.}, + title = {An accelerated learning algorithm for multilayer perceptron: optimizing layer by layer}, + journal = {IEEE Transactions on Neural Networks}, + volume = {6}, + number = {1}, + pages = {31-42}, + year = {1995} +} + + author = {Esposito, W. R. and Floudas, C. A.}, + title = {Global Optimization in Parameter Estimation of Nonlinear Algebraic Models Via the Error-in-Variables Approach}, + journal = {Industrial and Engineering Chemistry Research}, + volume = {37}, + number = {5}, + pages = {1841-1858}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA}, + abstract = {The estimation of parameters in nonlinear algebraic models through the error-in-variables method has been widely studied from a computational standpoint. The method involves the minimization of a weighted sum of squared errors subject to the model equations. Due to the nonlinear nature of the models used, the resulting formulation is nonconvex and may contain several local minima in the region of interest. Current methods tailored for this formulation, although computationally efficient, can only attain convergence to a local solution. In this paper, a global optimization approach based on a branch and bound framework and convexification techniques for general twice differentiable nonlinear optimization problems is proposed for the parameter estimation of nonlinear algebraic models. The proposed convexification techniques exploit the mathematical properties of the formulation. Classical nonlinear estimation problems were solved and will be used to illustrate the various theoretical and computational aspects of the proposed approach. [References: 32]}, + keywords = {Implicit models. +Chemical engineering.}, + year = {1998} +} + + author = {Esposito, W. R. and Floudas, C. A.}, + title = {Parameter Estimation in Nonlinear Algebraic Models Via Global Optimization}, + journal = {Computers and Chemical Engineering}, + volume = {22}, + number = {Suppl S}, + pages = {S 213-S 220}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA}, + abstract = {The estimation of parameters in semi-empirical nonlinear models through the error-in-variables method has been widely studied from a computational standpoint. This method involves the minimization of a quadratic objective function subject to the model equations being satisfied. Due to the nonlinear nature of these models, the resulting formulation is nonconvex in nature. The approaches to solve this problem presented so far in the literature, although computationally efficient, only offer convergence to a local solution df a model which may contain multiple minima. In this paper a global optimization approach based on a branch-and-bound framework will be presented to solve the error-in-variables formulation. Various estimation problems were solved and will be presented to illustrate the theoretical and computational aspects of the proposed method. (C) 1998 Elsevier Science Ltd. All rights reserved. [References: 26]}, + keywords = {Variables. Errors. +Chemical engineering.}, + year = {1998} +} + + author = {Esposito, W. R. and Floudas, C. A.}, + title = {Deterministic global optimization in nonlinear optimal control problems}, + journal = {Journal of Global Optimization}, + volume = {17}, + number = {1-4}, + pages = {97-126}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Esposito WR Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA 0009 J. Glob. Optim}, + abstract = {The accurate solution of optimal control problems is crucial in many areas of engineering and applied science. For systems which are described by a nonlinear set of differential-algebraic equations, these problems have been shown to often contain multiple local minima. Methods exist which attempt to determine the global solution of these formulations. These algorithms are stochastic in nature and can still get trapped in local minima. There is currently no deterministic method which can solve, to global optimality, the nonlinear optimal control problem. In this paper a deterministic global optimization approach based on a branch and bound framework is introduced to address the nonlinear optimal control problem to global optimality. Only mild conditions on the differentiability of the dynamic system are required. The implementation of the approach is discussed and computational studies are presented for four control problems which exhibit multiple local minima. [References: 54] 54}, + keywords = {Differential-algebraic equations. Global optimization. Optimal control. +Differentiable constrained nlps. Algebraic process systems. Dynamic +optimization. Alpha-bb. General constraints. Path constraints. Batch +reactors. Collocation. Algorithms. Equations. +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +2001 week 10}, + year = {2000} +} + + author = {Esposito, W. R. and Floudas, C. A.}, + title = {Global optimization for the parameter estimation of differential-algebraic systems}, + journal = {Industrial and Engineering Chemistry Research}, + volume = {39}, + number = {5}, + pages = {1291-1310}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Floudas CA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA 0024 Ind. Eng. Chem. Res}, + abstract = {The estimation of parameters in semiempirical models is essential in numerous areas of engineering and applied science. In many cases these models are represented by a set of nonlinear differential-algebraic equations. This introduces difficulties from both a numerical and an optimization perspective. One such difficulty, which has not been adequately addressed,is the existence of multiple local minima. In this paper, two novel global optimization methods will be presented which offer a theoretical guarantee of convergence to the global minimum for a wide range of problems. The first is based on converting the dynamic system of equations into a set of algebraic constraints through the use of collocation methods. The reformulated problem has interesting mathematical properties which allow for the development of a deterministic branch and bound global optimization approach. The second method is based on the use of integration to solve the dynamic system of equations. Both methods will be applied to the problem of estimating parameters in differential-algebraic models through the error-in-variables approach. The mathematical properties of the formulation which lead to specialization of the algorithms will be discussed. Then, the computational aspects of both approaches will be presented and compared through their application to several problems involving reaction kinetics. [References: 50] 50}, + keywords = {Alpha-bb. Genetic algorithm. Constrained nlps. Direct search. +Equations. Reduction. Strategies. Models. +Chemical Engineering in Current Contents(R)/Engineering, Computing and +Technology. +2000 week 23 +Reprint available from: Floudas CA. Princeton Univ, Dept Chem Engn, +Princeton, NJ 08544, USA, .}, + year = {2000} +} + +@article{Ester1998_DMKD, + author = {Ester, M. and Kriegel, H.-P. and Sander, J. and Xu, X.}, + title = {Density-Based Clustering in Spatial Databases: The Algorithm GDBSCAN and its Applications.}, + journal = {Data Mining and Knowledge Discovery}, + volume = {2}, + pages = {169-194}, + year = {1998} +} + + author = {Eubank, R.L.}, + title = {Spline smoothing and nonparametric regression}, + publisher = {Marcel Dekker Inc}, + address = {New York}, + year = {1988} +} + +@book{Eubank1988, + author = {Eubank, R.L.}, + title = {Spline smoothing and nonparametric regression}, + publisher = {Marcel Dekker Inc.}, + address = {New York}, + year = {1988} +} + + author = {Evans, James R. and Minieka, Edward}, + title = {Optimization algorithms for networks and graphs}, + publisher = {M. Dekker}, + address = {New York}, + edition = {2nd , rev. and expanded /}, + note = {James R. Evans, Edward Minieka. +1 floppy disk (5 1/4 in.) +System requirements: IBM PC or compatible; PC DOS or MS DOS (version 2.1 or later); 512K RAM. +Rev. ed. of: Optimization algorithms for networks and graphs / Edward Minieka. c1978. +NETSOLVE version 1.3.1, for the IBM PC and compatible on 1 floppy disk in pocket. +Includes index.}, + keywords = {Graph theory. +Network analysis (Planning) +Algorithms.}, + year = {1992} +} + +@article{Evans1998_CStat, + author = {Evans, M. and Swartz, T.}, + title = {Distribution theory and inference for polynomial-normal densities}, + journal = {Communications in Statistics: Theory and Methods}, + volume = {23}, + pages = {1123-1148}, + year = {1998} +} + +@article{Evans1998_Compstats, + author = {Evans, M. and Swartz, T.}, + title = {Random variable generation using concavity properties of the transformed densities}, + journal = {J. of Computational and Graphical Statistics}, + volume = {7}, + number = {4}, + pages = {514-528}, + year = {1998} +} + +@book{Everitt2001_book, + author = {Everitt, B.S. and Landau, S. and Leese, M.}, + title = {Cluster Analysis}, + publisher = {Arnold}, + address = {London}, + edition = {4th}, + keywords = {mathematics +optimisation +classification +cluster analysis}, + year = {2001} +} + + author = {Faliks, A. and Yetter, R. A. and Floudas, C. A. and Bernasek, S. L. and Fransson, M. and Rabitz, H.}, + title = {Optimal control of catalytic methanol conversion to formaldehyde}, + journal = {Journal of Physical Chemistry}, + volume = {105}, + number = {10}, + pages = {2099-2105}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Rabitz H Princeton Univ, Dept Chem Princeton, NJ 08544 USA Princeton Univ, Dept Chem Princeton, NJ 08544 USA Princeton Univ, Dept Mech and Aerosp Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA 0051 J. Phys. Chem. A}, + abstract = {An optimal control methodology is applied to find the heat and oxygen flux profiles, distributed along the length of a plug flow reactor, for the conversion of methanol to formaldehyde. The calculations use models for the gas-phase and catalytic [MoO3-Fe-2(MoO4)(3)] reactions. The reactor designs show that a distributed heat flux improves formaldehyde yields, but an oxygen flux does not affect the results. Formaldehyde mass fractions of over 90% have been achieved in the simulations. The solutions obtained, although not proven to be globally optimal, are of very high quality. A fully nonlinear robustness analysis of the formaldehyde production with respect to the catalyst model variables is performed by the use of a high dimensional model representation. This representation is similar to the ANOVA decomposition used in statistics but does not require an increase in the number of data points as the dimensionality of the variable space increases. The most important variables are the catalyst surface area and the rate of formaldehyde desorption. The yield improvement from employing optimized fluxes is found to be robust to the catalytic model parameter values. [References: 36] 36}, + keywords = {Sensitivity analysis. Optimization. Oxidation. Ethylene. Kinetics. +Oxygen. +Physical Chemistry/Chemical Physics in Current Contents(R)/Physical, +Chemical and Earth Sciences. +2001 week 16}, + year = {2001} +} + + author = {Faliks, A. and Yetter, R. A. and Floudas, C. A. and Hall, R. and Rabitz, H.}, + title = {Optimal control of methane conversion to ethylene}, + journal = {Journal of Physical Chemistry}, + volume = {104}, + number = {46}, + pages = {10740-10746}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Rabitz H Princeton Univ, Dept Chem Princeton, NJ 08544 USA Princeton Univ, Dept Chem Princeton, NJ 08544 USA Princeton Univ, Dept Mech and Aerosp Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Exxon Res and Engn Co Annandale, NJ 08801 USA 0022 J. Phys. Chem. A}, + abstract = {An optimal control methodology is applied to the problem of finding the heat, hydrogen, and oxygen flux profiles for the homogeneous, gas-phase conversion of methane to ethylene in a plug flow reactor. The calculations use a detailed reaction model for the oxidative pyrolysis of methane and a model for the growth of polycyclic aromatic hydrocarbons and soot:particle nulceation and growth. The reactor designs show that distributed hydrogen and oxygen fluxes along the axis of the reactor improve ethylene yields to a greater extent than co-fed hydrogen and/or oxygen. The axial heat flux is shown to play a major role in the final yields of ethylene. The optimal residence times are 28-31 ms, and the optimal temperature profiles cover a range of 1200-1985 K. The simulation results show that for the conditions considered, C2H2 is formed initially and is converted to C2H4 by a controlled extraction of energy. Hydrogen addition is advantageous at both stages to reduce soot in the first half of the reactor and to shift the equilibrium toward ethylene in the second half. Oxygen aids in forming ethylene from the C2H5 and C2H3 intermediates and in the formation of hydrogen radicals. Ethylene carbon mass fractions of 0.64 have been achieved. The solutions, although not proven to be globally optimal, are of high quality. [References: 16] 16}, + keywords = {Kinetic-transport models. Reaction sequences. Reactors. Oxygen. +Physical Chemistry/Chemical Physics in Current Contents(R)/Physical, +Chemical and Earth Sciences. +2001 week 02}, + year = {2000} +} + + author = {Faliks, A. and Yetter, R. A. and Floudas, C. A. and Wei, Y. and Rabitz, H.}, + title = {Optimization of living polymerization through distributed control of a nitroxide radical}, + journal = {Polymer}, + volume = {42}, + number = {5}, + pages = {2061-2065}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Rabitz H Princeton Univ, Dept Chem Princeton, NJ 08544 USA Princeton Univ, Dept Chem Princeton, NJ 08544 USA Princeton Univ, Dept Mech and Aerosp Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Drexel Univ, Dept Chem Philadelphia, PA 19104 USA 0032 Polymer}, + abstract = {An optimal control methodology is applied to the goal of lowering the reaction time while maintaining low polydispersity in living free-radical polymerization. An illustration using a nitroxide radical profile for living free-radical polymerization of styrene in a plug how reactor is provided. The reactor designs show that a distributed nitroxide radical Aux along the length of the reactor can reduce the reaction rime significantly for a given conversion. The reduction in residence time comes at the expense of a modest increase in polydispersity. A reference simulation with no optimization shows a conversion of 85% after 70 h and a final polydispersity of 1.31. Optimization of a 2,2,6,6-tetramethyl-1-piperidinyloxy flux results in a conversion of 90% after only 46 h while the polydispersity rises slightly to 1.42. The majority of the conversion takes place in the first 35 h. The theoretical designs, although not proven to be globally optimal, are of high quality. (C) 2000 Elsevier Science Ltd. All rights reserved. [References: 27] 27}, + keywords = {Living polymerization. Nitroxide radical. Polydispersity. +End time policies. Chain polymerization. Rate enhancement. Styrene. +Polydispersity. Initiator. Polystyrene. Propagation. Conversion. +Mechanism. +Organic Chemistry/Polymer Science in Current Contents(R)/Physical, +Chemical and Earth Sciences. +2001 week 01}, + year = {2001} +} + +@book{Falkenauer1998_book, + author = {Falkenauer, Emanuel}, + title = {Genetic algorithms and grouping problems}, + publisher = {Wiley}, + address = {Chichester; New York}, + keywords = {Genetic algorithms.}, + year = {1998} +} + + author = {Falkenauer, Emanuel and Marchand, A.}, + title = {Using k-means? Consider Optichip}, + booktitle = {Int. Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences}, + address = {Las Vegas, USA}, + year = {2001} +} + +@book{Fan2003, + author = {Fan, J. and Yao, Q.}, + title = {Nonlinear Time Series}, + publisher = {Springer}, + address = {New-York}, + year = {2003} +} + +@article{Farago1993, + author = {Farago, A. and Linder, T. and Lugosi, G.}, + title = {Fast nearest-neighbor search in dissimilarity spaces}, + journal = {Pattern Analysis and Machine Intelligence, IEEE Transactions on}, + volume = {15}, + number = {9}, + pages = {957-962}, + keywords = {computational complexity +pattern recognition +search problems +O(1) asymptotic average complexity +dissimilarity calculations +dissimilarity spaces +exact probabilistic analysis +fast nearest-neighbor algorithm +high-dimensional spaces +nearest-neighbor search}, + year = {1993} +} + +@book{Farrel2001_book, + author = {Farrel, D.}, + title = {Electoral Systems: A Comparative Overview}, + publisher = {St. Martin's Press}, + address = {New York}, + year = {2001} +} + + author = {Fasulo, D.}, + title = {An analysis of recent work on clustering algorithms}, + institution = {Department of Computer Science and Engineering, University of Washington}, + number = {01-03-02}, + year = {1999} +} + + author = {Ferguson, D.M. and Raber, D.J.}, + title = {A new approach to probing conformational space with molecular mechanics: Random incremental pulse search}, + journal = {Journal of the American Chemical Society}, + volume = {111}, + number = {12}, + pages = {4371-4378}, + keywords = {molecular mechanics (MM) +molecular structure +Monte Carlo (MC) +conformational analysis}, + year = {1989} +} + +@article{Fernandez2003_FSS, + author = {Fernandez Salido, J.M. and Murakami, S.}, + title = {Extending {Y}ager?s orness concept for the {OWA} aggregators to other mean operators}, + journal = {Fuzzy Sets and Systems }, + volume = {139}, + pages = {515-542}, + year = {2003} +} + +@book{Figueira2004_book, + author = {Figueira, J. and Greco, S. and Ehrgott, M.}, + title = {Multiple Criteria Decision Analysis: State of the Art Surveys }, + publisher = {Springer}, + address = {Heidelberg}, + year = {2004} +} + +@book{Figueira2005_book, + author = {Figueira, J. and Greco, S. and Ehrgott, M.}, + title = {Multiple Criteria Decision Analysis: State of the Art Surveys }, + publisher = {Springer}, + address = {Heidelberg, Berlin, New York}, + year = {2005 } +} + +@article{Filev1998_fss, + author = {Filev, D. and Yager, R.}, + title = {On the issue of obtaining OWA operator weights}, + journal = {Fuzzy Sets and Systems}, + volume = {94}, + pages = {157-169}, + year = {1998} +} + +@article{Filzmoser2008_CSDA, + author = {Filzmoser, P. and Maronna, R. and Werner, M.}, + title = {Outlier identification in high dimensions}, + journal = {Computational Statistics and Data Analysis}, + volume = {52}, + pages = {1694-1711}, + year = {2008} +} + +@article{Fishburn1970, + author = {Fishburn, P.C.}, + title = {Intransitive indifference in preference theory: a survey}, + journal = {Operations Research}, + volume = {18}, + year = {1970} +} + +@book{Fishburn1973, + author = {Fishburn, P.C.}, + title = {The Theory of Social Choice}, + publisher = {Princeton University Press}, + address = {Princeton}, + year = {1973} +} + +@book{Fletcher2000_book, + author = {Fletcher, R.}, + title = {Practical Methods of Optimization}, + publisher = {Wiley}, + address = {New York}, + edition = {2nd Edition}, + year = {2000} +} + + author = {Flores-Sintas, A. and Cadenas, J. and Martin, F.}, + title = {A local geometrical properties application to fuzzy clustering}, + journal = {Fuzzy Sets and Systems}, + volume = {100}, + pages = {245-256}, + year = {1998} +} + + author = {Floudas, C. and Pardalos, P. and Adjiman, C. and Esposito, W. and Gumus, Z. and Harding, S. and Klepeis, J. and Meyer, C. and Schweiger, C.}, + title = {Handbook of Test Problems for Local and Global Optimization}, + publisher = {Kluwer}, + year = {1999} +} + +@book{Floudas2000_book, + author = {Floudas, C. A.}, + title = {Deterministic Global Optimization: Theory, Methods, and Applications}, + publisher = {Kluwer Academic Publishers}, + address = {Dordrecht; London}, + volume = {37}, + series = {Nonconvex optimization and its applications}, + note = {99047045 +GBA0-4767 +by Christodoulos A. Floudas. +Includes bibliographical references and index.}, + keywords = {Mathematical optimization. +Nonlinear programming.}, + year = {2000} +} + +@article{Floudas2000_jpc, + author = {Floudas, C. A.}, + title = {Global optimization in design and control of chemical process systems}, + journal = {Journal of Process Control}, + volume = {10}, + number = {2-3}, + pages = {125-134}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Floudas CA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA 0005 J. Process Control}, + abstract = {This paper presents an overview of the recent advances in deterministic global optimization approaches and their applications in the areas of Process Design and Control. The focus is on global optimization methods for (a) twice-differentiable constrained nonlinear optimization problems, Cb) mi?;ed-integer nonlinear optimization problems, and (c) locating all solutions of nonlinear systems of equations. Theoretical advances and computational studies on process design, batch design under uncertainty, phase equilibrium, location of azeotropes, stability margin, process synthesis, and parameter estimation problems are discussed. (C) 2000 IFAC. Published by Elsevier Science Ltd. All rights reserved. [References: 59] 59}, + keywords = {Global optimization. Twice differentiable nlps. Mixed-integer nonlinear +optimization. Locating all solutions. Alpha bb approach. Design and +control. +Differentiable constrained nlps. Equilibrium problem. Nonconvex nlps. +Gop algorithm. Alpha-bb. Minlp problems. Phase. Programs. Equations. +Models. +Chemical Engineering in Current Contents(R)/Engineering, Computing and +Technology. +2000 week 17 +Reprint available from: Floudas CA. Princeton Univ, Dept Chem Engn, +Princeton, NJ 08544, USA, .}, + year = {2000} +} + +@book{Floudas1990_book, + author = {Floudas, Christodoulos A. and Pardalos, P. M.}, + title = {A collection of test problems for constrained global optimization algorithms}, + publisher = {Springer-Verlag}, + address = {Berlin; New York}, + note = {90010271 +C.A. Floudas, P.M. Pardalos. +Lecture notes in computer science; 455. +Includes bibliographical references (p. [159]-180) +Lecture notes in computer science, 455.}, + keywords = {Engineering mathematics. +Mathematical optimization. +Nonlinear programming. +Algorithms.}, + year = {1990} +} + + author = {Floudas, C. A. and Visweswaran, V.}, + title = {Primal-Relaxed Dual Global Optimization Approach}, + journal = {Journal of Optimization Theory and Applications}, + volume = {78}, + number = {2}, + pages = {187-225}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0001}, + abstract = {A deterministic global optimization approach is proposed for nonconvex constrained nonlinear programming problems. Partitioning of the variables, along with the introduction of transformation variables, if necessary, converts the original problem into primal and relaxed dual subproblems that provide valid upper and lower bounds respectively on the global optimum. Theoretical properties are presented which allow for a rigorous solution of the relaxed dual problem. Proofs of epsilon-finite convergence and epsilon-global optimality are provided. The approach is shown to be particularly suited to (a) quadratic programming problems, (b) quadratically constrained problems, and (c) unconstrained and constrained optimization of polynomial and rational polynomial functions. The theoretical approach is illustrated through a few example problems. Finally, some further developments in the approach are briefly discussed. [References: 37] 37}, + keywords = {Global optimization. Quadratic programming. Polynomial functions. +Epsilon-optimal solutions. +Nonconvex nlps. Algorithm gop. Minimization. Programs. +Mathematics. +Reprint available from: Floudas CA. PRINCETON UNIV, DEPT CHEM ENGN, +PRINCETON, NJ 08544, USA.}, + year = {1993} +} + + author = {Floudas, D. A.}, + title = {A Name for a Conflict or a Conflict for a Name - an Analysis of Greeces Dispute with Fyrom}, + journal = {Journal of Political and Military Sociology}, + volume = {24}, + number = {2}, + pages = {285-321}, + note = {Current Contents/Social and Behavioral Sciences}, + abstract = {This article attempts an analysis of the Greek foreign policy during the dispute between Greece and the Former Yugoslav Republic of Macedonia, from its beginnings up until the 1995 interim accord signed between the two countries. It is to a large extent based on the author's personal research in Greek government archives and other unpublished sources, as well as on interviews with leading Greek politicians and diplomats who were immediately involved in the issue. It traces the origins of the controversy and portrays the current dispute as the latest stage in evolution of the Macedonian Question of the past. The diplomatic strategies of the two countries involved are examined for the 1991-1995 period. In addition, the content and significance of the contentious issues of this debate are put under scrutiny. Finally, the factors which contributed to the diplomatic exacerbation of the issue (causing a failure of both parties to secure a resolution to the dispute that they would consider as ''positive'') are analyzed and the general repercussions for the Balkans' geopolitical status quo are outlined. [References: 63]}, + keywords = {Political science and public administration.}, + year = {1996} +} + + author = {Floudas, G.}, + title = {Change of Microscopic Friction in Concentrated Polystyrene Solutions}, + journal = {Journal of Non-Crystalline Solids}, + volume = {172}, + number = {Part 2}, + pages = {729-732}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas G MAX PLANCK INST POLYMER RES POSTFACH 3148 D-55021 MAINZ GERMANY 0010}, + abstract = {Measurements of microscopic friction in two concentrated polystyrene solutions are reported over a broad temperature and concentration range as obtained from depolarized Rayleigh scattering and dielectric spectroscopy. The microscopic friction is extracted from the degree of alteration of the solvent reorientation by the presence of polymer chains. The dependence of the solvent microscopic friction on polymer concentration changes from an exponential law at high temperatures to a much stronger dependence at temperatures near the solvent glass transition, T-g. In addition, toluene molecules experience a greater friction than dioctylphthalate in the concentrated polystyrene solutions when compared at (low) temperatures equidistant from the solvent T-g. There is a reversal of the solvent microscopic friction in the two systems in going from high to low temperatures as a result of the greater difference between the two timescales for the more mobile solvent (toluene). [References: 14] 14}, + keywords = {Polymer-solutions. Aroclor solutions. Toluene solutions. Solvent +dynamics. Scattering. Spectroscopy. Relaxation. Mobility. +Applied physics/condensed matter. +Reprint available from: Floudas G. MAX PLANCK INST POLYMER RES, POSTFACH +3148, D-55021 MAINZ, GERMANY.}, + year = {1994} +} + + author = {Floudas, G. and Alig, I. and Avgeropoulos, A. and Hadjichristidis, N.}, + title = {Dynamic Probe of the Interface in Lamellar Forming Non-Linear Block Copolymers of the (Ba)(3)B and (Ba)(3)B(Ab)(3) Type - a Dielectric Spectroscopy Study}, + journal = {Journal of Non-Crystalline Solids}, + volume = {235}, + pages = {485-490}, + note = {Current Contents/Physical, Chemical and Earth Sciences +Reprint available from: Floudas G FDN RES and TECHNOL HELLAS INST ELECT STRUCT and LASER POB 1527 IRAKLION 71110 CRETE GREECE DEUTSCH KUNSTSTOFF INST D-64249 DARMSTADT GERMANY UNIV ATHENS DEPT CHEM ATHENS 15771 GREECE}, + abstract = {Dielectric spectroscopy is employed in lamellar forming non-linear block copolymers of the type (BA)(3)B and (BA)(3)B(AB)(3) based on polyisoprene (A) and polystyrene (B), at temperatures well below the order-to-disorder transition temperature and below the glass transition temperature of the hard phase (polystyrene). We show here that dielectric spectroscopy can be used as a tool to probe the interface in ordered block copolymers with a basic triblock unit. Our estimate of the interfacial width is based on the mobility of the junction points at the interface and compares favorably with the estimated thickness from thermodynamics. (C) 1998 Elsevier Science B.V. All rights reserved. [References: 10]}, + keywords = {Microphase separation. +Applied physics/condensed matter/materials science.}, + year = {1998} +} + + author = {Floudas, G. and Antonietti, M. and Forster, S.}, + title = {Dielectric relaxation in poly(styrene-b-butadiene) copolymers with perfluorinated side chains}, + journal = {Journal of Chemical Physics}, + volume = {113}, + number = {8}, + pages = {3447-3451}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas G Fdn Res and Technol Hellas, Inst Elect Struct and Laser POB 1527 Heraklion 71110 Greece Fdn Res and Technol Hellas, Inst Elect Struct and Laser Heraklion 71110 Greece Max Planck Inst Kolloid and Grenzflachenforsch D-14424 Potsdam Germany 0062 J. Chem. Phys}, + abstract = {The dynamics of several poly(styrene-b-butadiene) (PS-PB) copolymers with fluorocarbon side chains have been studied with dielectric spectroscopy, covering two different mesophases with long spacings between 10 and 30 nm, and two different tail lengths. It is found that fluorination results in comparably rigid side chains in the PB domains with highly anisotropic properties. In the glassy state an Arrhenius relaxation was found with an activation energy of 7.4 kcal/mol reflecting some local side chain relaxation. Above the PB glass transition a bimodal relaxation exists, comprising two cooperative processes reflecting solely the anisotropic dynamics of the side chain. The dual relaxation resembles the anisotropic dielectric properties of side chain liquid crystalline polymers in the absence of macroscopic orientation. (C) 2000 American Institute of Physics. [S0021-9606(00)50832-0]. [References: 29] 29}, + keywords = {Microphase-separation transition. Molecular-weight dependence. +Liquid-crystalline. Diblock copolymers. Block-copolymers. Spacer +length. Polymers. Dynamics. Polyisoprene. Spectroscopy. +Physical Chemistry/Chemical Physics in Current Contents(R)/Physical, +Chemical and Earth Sciences. +2000 week 38 +Reprint available from: Floudas G. Fdn Res and Technol Hellas, Inst Elect +Struct and Laser, POB 1527, Heraklion 71110, Greece.}, + year = {2000} +} + + author = {Floudas, G. and Fytas, G. and Hadjichristidis, N. and Pitsikalis, M.}, + title = {Metastable States Below the Order-Disorder Transition in a Symmetric Diblock Copolymer - a Time-Resolved Depolarized Light Scattering Study}, + journal = {Macromolecules}, + volume = {28}, + number = {7}, + pages = {2359-2362}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas G HELLAS INST ELECTR STRUCT and LASER FDN RES and TECHNOL POB 1527 GR-71110 IRAKLION GREECE UNIV ATHENS DEPT CHEM GR-15771 ZOGRAFOS GREECE 0032}, + abstract = {Depolarized light scattering has been used to study the ordering kinetics in a symmetric poly(styrene-b-isoprene) copolymer melt. The depolarized intensity variation with time following a quench from the disordered phase provides an estimate of the grain size which is consistent with the result from the SAXS experiment. The mechanism of grain relaxation is discussed in terms of rotational motions in the mobile environment. The dissolution of the initially ordered structure is much faster (t < 10(2) s) than the ordering process. [References: 22] 22}, + keywords = {Optical anisotropy. Birefringence. Microstructure. Chains. +Organic chemistry/polymer science. +Reprint available from: Floudas G. HELLAS INST ELECTR STRUCT and LASER, FDN +RES and TECHNOL, POB 1527, GR-71110 IRAKLION.}, + year = {1995} +} + + author = {Floudas, G. and Fytas, G. and Pispas, S. and Hadjichristidis, N. and Pakula, T. and Khokhlov, A. R.}, + title = {Statics and Dynamics of Omega-Functionalized Block Copolymers of Styrene and Isoprene}, + journal = {Macromolecules}, + volume = {28}, + number = {14}, + pages = {5109-5118}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas G HELLAS INST ELECTR STRUCT and LASER FDN RES and TECHNOL POB 1527 GR-71110 IRAKLION GREECE UNIV ATHENS DEPT CHEM GR-15771 ZOGRAFOS GREECE MAX PLANCK INST POLYMER RES D-55021 MAINZ GERMANY MOSCOW MV LOMONOSOV STATE UNIV DEPT PHYS MOSCOW 117234 RUSSIA 0045}, + abstract = {The statics and dynamics of omega-functionalized diblock copolymers of styrene and isoprene have been studied with small-angle X-ray scattering(SAXS) and with theology and dielectric spectroscopy. The asymmetric diblock copolymers (w(PS) approximate to 30%) had a dimethylamino or zwitterion group at either end of the chain, and the molecular weights were in the range (0.62-2.44) x 10(4). Depending on the temperature, the SAXS results revealed two separate levels of microphase separation, one between the polystyrene (PS) and polyisoprene (PI) blocks forming the microdomain structure and another one between ionic and nonionic material. The latter process creates sufficient contrast notwithstanding the small fraction of the zwitterionic groups. When the zwitterion is linked to the PI chain end, aggregates are formed at low temperatures within the PI phase. These aggregates manifest themselves both in theology and in dielectric spectroscopy, respectively, with an extended rubbery plateau and with a new dielectric process associated with restricted PI segmental relaxation. When the zwitterion is located on the PS chain end, association takes place, at high temperatures, within the PS phase and acts to stabilize the new microdomain up to very high temperatures. When compared with neutral diblocks, the omega-functionalized diblock copolymers constitute a new class of materials which provide the possibility of altering the phase behavior by introducing a small amount of a polar group at one chain end. [References: 41] 41}, + keywords = {Zwitterion end groups. X-ray-scattering. Ionic aggregation. +Association behavior. Star copolymers. Ionomers. Model. Polymers. +Polyisoprenes. Polystyrenes. +Organic chemistry/polymer science. +Reprint available from: Floudas G. HELLAS INST ELECTR STRUCT and LASER, FDN +RES and TECHNOL, POB 1527, GR-71110 IRAKLION.}, + year = {1995} +} + + author = {Floudas, G. and Fytas, G. and Pispas, S. and Hadjichristidis, N. and Pakula, T. and Khokhlov, A. R.}, + title = {Self-Assembly in Omega-Functionalized Block Copolymers of Styrene and Isoprene}, + journal = {Macromolecular Symposia}, + volume = {106}, + pages = {137-146}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas G FDN RES and TECHNOL HELLAS INST ELECTR STRUCT and LASER POB 1527 GR-71110 IRAKLION CRETE GREECE UNIV ATHENS DEPT CHEM GR-15771 ZOGRAFOS GREECE MAX PLANCK INST POLYMER RES D-55021 MAINZ GERMANY MOSCOW MV LOMONOSOV STATE UNIV DEPT PHYS MOSCOW 117234 RUSSIA 0013}, + abstract = {The spatial organization of end-functionalized diblock copolymers of styrene and isoprene revealed two separate levels of microphase separation: one between the two blocks forming the microdomain and another between the polar and non-polar material. The association produced by the latter process has a pronounced effect on the dynamics as revealed in rheology and dielectric spectroscopy. The introduction of a polar group into the different chain-ends has a dramatic effect on the phase behavior of the diblock copolymers and provides new ways of controlling their miscibility. [References: 17] 17}, + keywords = {X-ray-scattering. Ionic aggregation. Ionomers. Relaxation. Model. +Organic chemistry/polymer science. +Reprint available from: Floudas G. FDN RES and TECHNOL HELLAS, INST ELECTR +STRUCT and LASER, POB 1527, GR-71110 IRAKLION.}, + year = {1996} +} + + author = {Floudas, G. and Fytas, G. and Reisinger, T. and Wegner, G.}, + title = {Pressure-induced dynamic homogeneity in an athermal diblock copolymer melt}, + journal = {Journal of Chemical Physics}, + volume = {111}, + number = {20}, + pages = {9129-9132}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas G Fdn Res and Technol Hellas, Inst Elect Struct and Laser POB 1527 Heraklion 71110 Crete Greece Fdn Res and Technol Hellas, Inst Elect Struct and Laser Heraklion 71110 Crete Greece Max Planck Inst Polymerforsch D-55021 Mainz Germany 0002 J. Chem. Phys}, + abstract = {We report on the effect of pressure on the dual segmental relaxation of an athermal poly(isoprene-b-vinylethylene) (PI-PVE) diblock copolymer melt using dielectric spectroscopy. The quantity (partial derivative log tau/partial derivative P)(T) is employed as a probe of the state of dynamic miscibility in the system. We find that pressure, unlike temperature, induces dynamic homogeneity. (C) 1999 American Institute of Physics. [S0021-9606(99)52244-7]. [References: 29] 29}, + keywords = {Miscible polymer blends. Component dynamics. Segmental dynamics. +Deuteron nmr. State. +Physical Chemistry/Chemical Physics in Current Contents(R)/Physical, +Chemical and Earth Sciences. +1999 week 49 +Reprint available from: Floudas G. Fdn Res and Technol Hellas, Inst Elect +Struct and Laser, POB 1527, Heraklion 71110, Crete.}, + year = {1999} +} + + author = {Floudas, G. and Gravalides, C. and Reisinger, T. and Wegner, G.}, + title = {Effect of pressure on the segmental and chain dynamics of polyisoprene. Molecular weight dependence}, + journal = {Journal of Chemical Physics}, + volume = {111}, + number = {21}, + pages = {9847-9852}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas G Fdn Res and Technol Hellas, Inst Elect Struct and Laser POB 1527 Heraklion 71110 Crete Greece Fdn Res and Technol Hellas, Inst Elect Struct and Laser Heraklion 71110 Crete Greece Max Planck Inst Polymerforsch D-55021 Mainz Germany 0052 J. Chem. Phys}, + abstract = {We report on the effect of pressure on the relaxation modes of the type-A polymer polyisoprene as a function of the chain length for M/M-e ratio's (M-e is the entanglement molecular weight): 1/5, 1/2, 2/3, 2, and 5. We find that the spectral shape of the segmental and normal modes is invariant under temperature (T) and pressure (P) variations, but the time-pressure superposition fails as a consequence of the stronger P dependence of the segmental mode. The segmental mode activation volume for the different molecular weights was found to scale with the temperature difference from the respective glass transition temperature. Pressure is found to slow down both modes in a quantitatively similar way, irrespective of the chain length, implying that M-e is largely independent of pressure. (C) 1999 American Institute of Physics. [S0021-9606(99)51845-X]. [References: 19] 19}, + keywords = {Dielectric-spectroscopy. Glass-transition. Temperature. +Physical Chemistry/Chemical Physics in Current Contents(R)/Physical, +Chemical and Earth Sciences. +1999 week 50 +Reprint available from: Floudas G. Fdn Res and Technol Hellas, Inst Elect +Struct and Laser, POB 1527, Heraklion 71110, Crete.}, + year = {1999} +} + + author = {Floudas, G. and Hadjichristidis, N. and Iatrou, H. and Avgeropoulos, A. and Pakula, T.}, + title = {Microphase Separation in Super-H-Shaped Block Copolymer Colloids}, + journal = {Macromolecules}, + volume = {31}, + number = {20}, + pages = {6943-6950}, + note = {Current Contents/Physical, Chemical and Earth Sciences +Reprint available from: Floudas G FDN RES and TECHNOL HELLAS INST ELECT STRUCT and LASER POB 1527 IRAKLION 71110 CRETE GREECE UNIV ATHENS DEPT CHEM ATHENS 15771 GREECE MAX PLANCK INST POLYMER RES D-55021 MAINZ GERMANY}, + abstract = {Block copolymers of the A(3)BA(3) type with a short connector block B exhibit features known in multi-arm star polymers in addition to their block, copolymer nature. We have studied the ordered state morphology and the order-to-disorder transition (ODT) in three model super I-I-shaped block copolymer melts of the A3BA3 type. From the three asymmetric nonlinear block copolymers (0.07 < f(B) < 0.35, B is polystyrene (PS)) one is in the homogeneous disordered phase (f(PS) = 0.072), another is in the ordered phase (f(PS) = 0.345), and the third (f(PS) = 0.118) undergoes an order-to-disorder transition in a temperature range accessible by SAXS and rheology. In the former experiment the ODT has been identified from the discontinuous changes in the peal; intensity and width, whereas in the latter it has been identified by the discontinuous drop of the storage modulus. The SAXS results have shown a peculiar T dependence of the peak position q*, which is attributed to the starlike nature of the system. TEM and SAXS identify the morphology of the f(PS) = 0.118 Sample as spheres organized in a body-centered-cubic (bcc) lattice with each domain consisting of about 40 connector blocks (PS), whereas in the fps = 0.345 sample, PS cylinders are packed in a hexagonal lattice. At some temperatures in the vicinity of the T-ODT two states with very different viscosities exist and large amplitude deformation and/or temperature results in a transformation from the high (state I) to the low viscosity state (state II). To identify the associated structural changes, we have compared the viscoelastic response of each state to the corresponding structural profiles. We found that the viscoelastic response in state I is controlled by the relaxation of grains whereas in state II it is controlled by the relaxation of individual domains in the absence of long range order. At low shear rates, below the grain relaxation, we identify a flow regime that is a consequence of the colloidal nature of these block copolymers. [References: 27]}, + keywords = {Symmetrical diblock copolymer. Order-disorder transition. Metastable +states. Kinetics. Melts. Isoprene. Styrene. Star. Fluctuations. +Architecture. +Organic chemistry/polymer science.}, + year = {1998} +} + + author = {Floudas, G. and Hadjichristidis, N. and Iatrou, H. and Pakula, T.}, + title = {Microphase Separation in Model 3-Miktoarm Star Co- and Terpolymers .2. Dynamics}, + journal = {Macromolecules}, + volume = {29}, + number = {9}, + pages = {3139-3146}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas G FDN RES and TECHNOL HELLAS INST ELECTR STRUCT and LASER POB 1527 GR-71110 IRAKLION GREECE MAX PLANCK INST POLYMER RES D-55021 MAINZ GERMANY UNIV ATHENS DEPT CHEM GR-15771 ZOGRAFOS ATHENS GREECE 0012}, + abstract = {Dielectric spectroscopy has been employed to study the local and global dynamics of polyisoprene in the asymmetric star (polystyrene)(polyisoprene)(2) (SI2) and in the 3-miktoarm star terpolymer (polystyrene)(polyisoprene)(polybutadiene) (SIE). All measurements refer to the ordered phase where PS cylinders are embedded on the I and I/B matrix, respectively. Effectively, we are studying the local and global dynamics of tethered PI chains in two environments: one made by I-chains (SI2) and another by the I/B-chains(SIB). At low temperatures, the PI local segmental dynamics in SI2 and SIE are different, reflecting the modification of the local friction by introducing the faster PB chains in the latter. At higher temperatures, however, this effect diminishes due to the demixing of I and B. To explore the thermodynamic and mobility effects on the global dynamics, we have studied, respectively, a ternary blend composed of PI, PB, and PS and binary blends of SIB and SIE with short PB chains. The PI global dynamics in SI2 and SIE resemble the dynamics of PS stars with additional entanglement effects in the latter. [References: 65] 65}, + keywords = {Slow dielectric-relaxation. Cis-polyisoprene. Diblock copolymers. +Molecular-dynamics. Polybutadiene networks. Concentrated-solutions. +Constraint release. Block copolymers. Light-scattering. Shaped +polymers. +Organic chemistry/polymer science. +Reprint available from: Floudas G. FDN RES and TECHNOL HELLAS, INST ELECTR +STRUCT and LASER, POB 1527, GR-71110 IRAKLION.}, + year = {1996} +} + + author = {Floudas, G. and Hadjichristidis, N. and Iatrou, H. and Pakula, T. and Fischer, E. W.}, + title = {Microphase Separation in Model 3-Miktoarm Star Copolymers (Simple Graft) and Terpolymers .1. Statics and Kinetics}, + journal = {Macromolecules}, + volume = {27}, + number = {26}, + pages = {7735-7746}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas G FDN RES and TECHNOL HELLAS INST ELECTR STRUCT and LASER POB 1527 GR-71110 IRAKLION GREECE UNIV ATHENS DEPT CHEM GR-15771 ATHENS GREECE MAX PLANCK INST POLYMER RES D-55021 MAINZ GERMANY 0032}, + abstract = {The static and kinetic aspects of the order-disorder transition (ODT) in newly synthesized model 3-miktoarm star copolymer (simple graft) of SI2 type, (polystyrene)(polyisoprene)(2), and a 3-miktoarm star terpolymer of SIB type, (polystyrene)(polyisoprene)(polybutadiene), have been studied using small-angle X-ray scattering (SAXS) and rheology. The morphology and the order-disorder transition temperature (T-ODT) have been identified from the two-dimensional SAXS patterns with shear-oriented samples. Hexagonally ordered cylindrical microdomains aligned along the direction of shear and with T-ODT = 379 K have been formed for both samples studied. The SAXS profiles at temperatures well above the T-ODT have been fitted to the mean-field theory (MFT) for graft copolymers. Near the ODT deviations from the theory have been observed and the SAXS data provide unambiguous evidence for the existence of fluctuations. The T-ODT obtained from theology is in excellent agreement with the one from SAXS. Discontinuities in the SAXS peak intensity and in the storage modulus near the T-ODT are more pronounced in these systems as compared to linear diblocks. The ordering kinetics have been studied with theology and complementary with SAXS. The width of the kinetically accessible metastable region is enlarged as compared to linear diblocks. For shallow quenches the ordering proceeds by heterogeneous nucleation and growth of three-dimensional grains with-cylindrical microstructure. Our kinetic studies probe the metastable states near but below the T-ODT. [References: 45] 45}, + keywords = {Order-disorder transition. Angle neutron-scattering. Diblock +copolymers. Block copolymers. Polybutadiene blends. Light-scattering. +Miscibility. Melts. Polystyrenes. Rheology. +Organic chemistry/polymer science. +Reprint available from: Floudas G. FDN RES and TECHNOL HELLAS, INST ELECTR +STRUCT and LASER, POB 1527, GR-71110 IRAKLION.}, + year = {1994} +} + + author = {Floudas, G. and Hadjichristidis, N. and Stamm, M. and Likhtman, A. E. and Semenov, A. N.}, + title = {Microphase Separation in Block Copolymer/Homopolymer Blends - Theory and Experiment}, + journal = {Journal of Chemical Physics}, + volume = {106}, + number = {8}, + pages = {3318-3328}, + note = {Current Contents/Physical, Chemical and Earth Sciences +Reprint available from: Floudas G FDN RES and TECHNOL HELLAS INST ELECT STRUCT and LASER POB 1527 IRAKLION 71110 CRETE GREECE UNIV ATHENS DEPT CHEM ZOGRAFOS 15771 ATHENS GREECE MAX PLANCK INST POLYMER RES D-55021 MAINZ GERMANY MOSCOW MV LOMONOSOV STATE UNIV DEPT PHYS MOSCOW 117234 RUSSIA UNIV LEEDS DEPT APPL MATH LEEDS LS2 9JT W YORKSHIRE ENGLAND}, + abstract = {The process of microphase separation in diblock copolymer/homopolymer blends is studied both theoretically and experimentally for an asymmetric diblock copolymer and for homopolymer concentration less than 25%. The degree of polymerization of the added homopolymer (N-h) covered all possible cases; N approximate to N-h, N>N-h, and NHex-->Gyroid-->Dis (L-c is the crystalline lamellar phase, Hex signifies hexagonally packed cylinders, Gyroid is the bicontinuous cubic network with the Ia (3) over bar d symmetry, and Dis is the disordered phase). We found that crystallization disrupts the amorphous ordered morphologies and imposes a layered structure (L-c). The study of the kinetics of the Hex to L-c and the Hex to Gyroid transitions is facilitated by the different viscoelastic contrast and the distinctly different scattering patterns of the three phases involved (L-c, Hex, Gyroid). Our studies show that it is possible to undercool and overheat ordered phases just as we can undercool the disordered phase. The transformation from the Hex to the L-c phase proceeds via a heterogeneous nucleation and growth process and results in the formation of a spherulitic superstructure composed from stacks of lamellar crystals. The transformation of the Hex to the Gyroid phase involves two steps. The first step-which is too fast to be picked up by rheology-involves fluctuations of the hexagonal phase. The second "slow" step involves a nucleation and growth process of elongated objects. The transformation proceeds nearly epitaxially and has an activation energy of 47 kcal/mol which is typical for a collective process. (C) 1999 American Institute of Physics. [S0021-9606(99)52001-1]. [References: 40] 40}, + keywords = {Block-copolymers. Poly(ethylene oxide). Disorder transition. +Metastable states. Morphology. Nucleation. Isoprene. Styrene. +Crystallization. Dynamics. +Physical Chemistry/Chemical Physics in Current Contents(R)/Physical, +Chemical and Earth Sciences. +1999 week 03 +Reprint available from: Floudas G. Fdn Res and Technol Hellas, Inst Elect +Struct and Laser, POB 1527, GR-71110 Iraklion, Greece.}, + year = {1999} +} + + author = {Floudas, G. and Ulrich, R. and Wiesner, U. and Chu, B.}, + title = {Nucleation and growth in order-to-order transitions of a block copolymer}, + journal = {Europhysics Letters}, + volume = {50}, + number = {2}, + pages = {182-188}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas G Fdn Res and Technol Hellas, Inst Elect Struct and Laser POB 1527 Heraklion 71110 Crete Greece Fdn Res and Technol Hellas, Inst Elect Struct and Laser Heraklion 71110 Crete Greece Max Planck Inst Polymerforsch D-55021 Mainz Germany SUNY Stony Brook, Dept Chem Stony Brook, NY 11794 USA 0008 Europhys. Lett}, + abstract = {A poly(isoprene-b-ethyleneoxide) diblock undergoes multiple ordered state transitions: from a crystalline lamellar (L-c), to a hexagonal (Hex) mesophase, to a bicontinuous cubic phase (Gyroid) before disordering (Dis). We have studied the kinetics of the Hex-to-Gyroid, Hex-to-L-c and L-c-to-Gyroid transitions using synchrotron SAXS and rheology. The Hex-to-Gyroid transformation proceeds via a nucleation and growth mechanism with a small mismatch between the two phases, as anticipated by recent theoretical predictions (M.W. Matsen, Phys. Rev. Lett., 80 (1998) 4470). We provide the first quantitative measure of the activation barrier involved in an order-to-order transition and show the importance of nucleation and growth in these transformations. [References: 18] 18}, + keywords = {Cubic phase. Epitaxial relationships. Disorder transition. Water +systems. Melts. Fluctuations. Surfactant. +Physics in Current Contents(R)/Physical, Chemical and Earth Sciences. +2000 week 21 +Reprint available from: Floudas G. Fdn Res and Technol Hellas, Inst Elect +Struct and Laser, POB 1527, Heraklion 71110, Crete.}, + year = {2000} +} + + author = {Floudas, G. and Vazaiou, B. and Schipper, F. and Ulrich, R. and Wiesner, U. and Iatrou, H. and Hadjichristidis, N.}, + title = {Poly(ethylene oxide-b-isoprene) diblock copolymer phase diagram}, + journal = {Macromolecules}, + volume = {34}, + number = {9}, + pages = {2947-2957}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas G FORTH, Fdn Res and Technol Hellas, Inst Elect Struct and Laser POB 1527 Heraklion 71110 Crete Greece FORTH, Fdn Res and Technol Hellas, Inst Elect Struct and Laser Heraklion 71110 Crete Greece Univ Athens, Dept Chem Athens 15771 Greece Max Planck Inst Polymerforsch D-55021 Mainz Germany 0031 Macromolecules}, + abstract = {The phase state of 25 poly(ethylene oxide-b-isoprene) (PEO-PI) diblock copolymers spanning the composition range 0.05 < f(PEO) < 0.8 has been studied using small-angle X-ray scattering and theology. In addition, the thermal and thermodynamic properties have been obtained from differential scanning calorimetry and pressure-volume-temperature measurements. Twenty of the diblocks exhibit at least one order-to-order transition, and two show four ordered phases. The phase diagram consists of four equilibrium phases in the melt; lamellar (Lam), hexagonally packed cylinders (Hex), spheres packed in a body centered cubic lattice (bcc) and a bicontinuous cubic phase with the Ia (3) over bard space group symmetry known as the gyroid phase. The latter is formed for the range of compositions 0.4 < f(PEO) < 0.45 which are the highest ever reported for a stable gyroid phase. The high asymmetry in the present phase diagram is attributed to the high conformational asymmetry of the PEO and PI (epsilon = 2.72). At low temperatures, upon PEO crystallization, all phases revert to the crystalline lamellar structure (L-c). Within the composition range 0.66 < f(PEO) < 0.7 another intermediate phase is formed known as perforated layers (PL) which is clearly not an equilibrium phase. The thermal expansion coefficient was found to be a sensitive probe of the ordered microstructures. [References: 45] 45}, + keywords = {Order-disorder transition. Microphase separation. Block-copolymer. +Star copolymers. Simple graft. Conformational asymmetry. Behavior. +Melts. Equilibrium. Blends. +Organic Chemistry/Polymer Science in Current Contents(R)/Physical, +Chemical and Earth Sciences. +2001 week 21}, + year = {2001} +} + + author = {Floudas, G. and Vlassopoulos, D. and Pitsikalis, M. and Hadjichristidis, N. and Stamm, M.}, + title = {Order-Disorder Transition and Ordering Kinetics in Binary Diblock Copolymer Mixtures of Styrene and Isoprene}, + journal = {Journal of Chemical Physics}, + volume = {104}, + number = {5}, + pages = {2083-2088}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas G FDN RES and TECHNOL HELLAS INST ELECTR STRUCT and LASER POB 1527 GR-71110 IRAKLION CRETE GREECE UNIV ATHENS DEPT CHEM GR-15771 ZOGRAFOS GREECE MAX PLANCK INST POLYMER RES D-55021 MAINZ GERMANY 0036}, + abstract = {The order-disorder transition (ODT) and the ordering kinetics have been studied in two symmetric diblock copolymers of styrene and isoprene and their binary mixtures with theology. The binary mixtures formed a single microdomain (with lamellar morphology) composed of short and long chains as confirmed by small angle x-ray scattering (SAXS). The order-disorder transition temperature (T-ODT), obtained from the discontinuity in the storage modulus G', varies linearly with the number average degree of polymerization. For shallow quenches, the ordering kinetics proceed via nucleation and growth. The characteristic time of this process scales with (N) over bar(-1/3), where (N) over bar is the Ginzburg parameter, in agreement with the theoretical predictions [G. H. Fredrickson and K. Binder, J. Chem. Phys. 91, 7265 (1989)]. Our results indicate that the ordering kinetics of symmetric diblock copolymers near the ODT are fluctuation controlled. (C) 1996 American Institute of Physics. [References: 20] 20}, + keywords = {Block-copolymers. Microphase separation. +Physical chemistry/chemical physics. +Reprint available from: Floudas G. FDN RES and TECHNOL HELLAS, INST ELECTR +STRUCT and LASER, POB 1527, GR-71110 IRAKLION.}, + year = {1996} +} + + author = {Floudas, G. and Vogt, S. and Pakula, T. and Fischer, E. W.}, + title = {Density and Concentration Fluctuations in Poly(Styrene-B-Phenylmethylsiloxane) Copolymers}, + journal = {Macromolecules}, + volume = {26}, + number = {26}, + pages = {7210-7213}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas G MAX PLANCK INST POLYMER RES POSTFACH 3148 D-55021 MAINZ GERMANY 0015}, + abstract = {Small-angle X-ray scattering (SAXS) is employed to study the density and concentration fluctuations near the microphase separation in poly(styrene-b-phenylmethylsiloxane) copolymers. The former were calculated from the measured isothermal compressibility and are continuous throughout the transition. The residual SAXS background intensity due to local concentration fluctuations is a sensitive probe of the order-disorder transition. The same results have been obtained by independent computer simulations of dense diblock copolymer melts. [References: 18] 18}, + keywords = {Microphase separation transition. X-ray-scattering. Diblock copolymers. +Glass-transition. Polymers. Melts. +Organic chemistry/polymer science. +Reprint available from: Floudas G. MAX PLANCK INST POLYMER RES, POSTFACH +3148, D-55021 MAINZ, GERMANY.}, + year = {1993} +} + + author = {Fodor, J.}, + title = {Contrapositive symmetry of fuzzy implications}, + journal = {Fuzzy Sets & Systems}, + volume = {69}, + pages = {141--156}, + year = {1995} +} + +@incollection{Fodor1998_invol, + author = {Fodor, J. and Calvo, T.}, + title = {Aggregation functions defined by t-norms and t-conorms}, + booktitle = {Aggregation and Fusion of Imperfect Information}, + editor = {Bouchon-Meunier, B.}, + publisher = {Physica--Verlag}, + address = {Heidelberg}, + pages = {36-48}, + year = {1998} +} + +@article{Fodor1998_fss, + author = {Fodor, J. and Jenei, S.}, + title = {On continuous triangular norms}, + journal = {Fuzzy Sets and Systems}, + volume = {100}, + pages = {273-282}, + year = {1998} +} + +@article{Fodor-Marichal97, + author = {Fodor, J. and Marichal, J.-L.}, + title = {On nonstrict means}, + journal = {Aequationes Mathematicae}, + volume = {54}, + pages = {308-327}, + year = {1997} +} + +@book{Fodor1994_book, + author = {Fodor, J. and Roubens, M.}, + title = {Fuzzy Preference Modelling and Multicriteria Decision Support}, + publisher = {Kluwer}, + address = {Dordrecht}, + year = {1994} +} + +@article{Fodor2007_FSS, + author = {Fodor, J. and Rudas, I.J.}, + title = {On continuous triangular norms that are migrative}, + journal = {Fuzzy Sets and Systems}, + volume = {158}, + pages = {1692-1697}, + year = {2007} +} + +@incollection{Fodor2000_handbook, + author = {Fodor, J. and Yager, R.}, + title = {Fuzzy set-theoretic operators and quantifiers}, + booktitle = {The Handbook of Fuzzy Sets}, + editor = {Dubois, D. and Prade, H.}, + publisher = {Kluwer}, + address = {Dordrecht}, + volume = {7}, + pages = {125-193}, + year = {2000} +} + +@article{Fodor1997_ijufks, + author = {Fodor, J. and Yager, R. and Rybalov, A.}, + title = {Structure of uninorms}, + journal = {Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems}, + volume = {5}, + pages = {411-427}, + year = {1997} +} + + author = {Fogel, D}, + title = {Evolutionary Computation: Towards a New Philosophy of Machine Intelligence}, + publisher = {IEEE press}, + edition = {2}, + year = {1999} +} + + author = {Forti, Mauro}, + title = {A note on neural networks with multiple equilibrium points}, + journal = {IEEE Transactions on Circuits and Systems-I: Fundamental Theory...}, + volume = {43}, + number = {6}, + pages = {p487(5)}, + abstract = {We give a condition which is necessary and sufficient for the injectivity (i.e., for the global invertibility) of vector fields defining a class of piece-wise-linear neural networks which include the Cellular Neural Networks as a special case. It is shown that this is the sharpest obtainable condition for injectivity, since it enables one to ascertain such property for each specific nonlinear piece-wise-linear function modeling the neuron activations. This result establishes an exact bound between neural circuits possessing a unique equilibrium point (which are tailor made, e.g., for solving global optimization problems) and those possessing multiple equilibrium points (which are suitable, e.g., for implementing a Content Addressable Memory or a Cellular Neural Network for image processing). We also prove conceptually similar results on injectivity in case of continuously differentiable neuron activations. The proof of the main results exploits topological concepts from degree theory, such as the concept of homotopy of odd vector fields.}, + keywords = {Neural networks Research +Equilibrium Analysis}, + year = {1996} +} + + author = {Foster, Ian}, + title = {Designing and building parallel programs: concepts and tools for parallel software engineering}, + publisher = {Addison-Wesley}, + address = {Reading, Mass.}, + note = {94003661 +Ian Foster. +Pt. I. Concepts. 1. Parallel Computers and Computation. 2. Designing Parallel Algorithms. 3. A Quantitative Basis for Design. 4. Putting Components Together -- Pt. II. Tools. 5. Compositional C++. 6. Fortran M. 7. High Performance Fortran. 8. Message Passing Interface. 9. Performance Tools -- Pt. III. Resources. 10. Random Numbers. 11. Hypercube Algorithms -- 12. Further Reading -- 13. About the Online Version. +Includes bibliographical references and index.}, + abstract = {At last, a practitioner's guide to parallel programming! Students and professionals who use parallel or distributed computer systems will be able to solve real problems with Designing and Building Parallel Programs. This book provides a comprehensive introduction to parallel algorithm design, performance analysis, and program construction. It describes the tools needed to write parallel programs and provides numerous examples. A unique feature is the companion on-line version, accessible via the World Wide Web using browsers such as Mosaic. This provides a convenient hypertext version of the text with pointers to programming tools, example programs, and other resources on parallel and distributed computing.}, + keywords = {Parallel programming (Computer science)}, + year = {1995} +} + + author = {Francis, P.S. and Lewis, S.W. and Lim, K.F.}, + title = {Analytical methodology for the determination of urea: Current practice and future trends}, + journal = {Trends in Analytical Chemistry}, + volume = {21}, + number = {5}, + pages = {389-400}, + abstract = {The determination of urea is important in a wide range of fields including clinical diagnostics, environmental monitoring and food science. Numerous analytical techniques have been developed for the determination of urea, with no single technique dominant in all areas due to the diversity of applications. An overview of the existing analytical methodologies for urea is presented, and some new approaches are discussed, particularly those based on chemiluminescence detection to improve the sensitivity and selectivity for the determination this important analyte.}, + keywords = {journal +review +urea +analysis +blood +chemiluminescence (CL) +diacetyl monoxime +flow injection (FI) +flow injection analysis (FIA) +milk +seawater +urease +wine}, + year = {2002} +} + + author = {Francis, P.S. and Lewis, S.W. and Lim, K.F. and Carlsson, K. and Karlberg, B.}, + title = {Flow analysis based on a pulsed flow of solution: Theory, instrumentation and applications}, + journal = {Talanta}, + volume = {58}, + number = {6}, + pages = {1029-1042}, + keywords = {analysis +analytical chemistry +journal +flow analysis +flow injection (FI) +flow injection analysis (FIA) +pulsed flow +pulsed flow analysis}, + year = {2002} +} + + author = {Francis, P.S. and Lewis, S.W. and Lim, K.F. and Jenkins, G.E.}, + title = {Digital Flow Chemistry: A new solution-handling instrument for the rapid-mixing of small samples in kinetic studies}, + booktitle = {Conference on Physical Chemistry}, + address = {Christchurch, New Zealand}, + abstract = {Digital flow chemistry [1] is a new approach to automated flow based analytical chemistry [2] and chemical kinetics. The digital flow instrument has been developed by our collaborators at Latrobe University and Precision Devices P/L [1]. We have demonstrated that it can be used for the collection of kinetic data [3]. + +In contrast to the laminar flow and controlled partial dispersion desired in conventional flow tubes and flow analysis, the digital flow module utilises short pressure pulses to generate precisely timed bursts of solution flow, interspersed with longer periods when the solution remains static. This digital flow profile overcomes the problem of flow-rate variation observed with flow systems based on peristaltic pumps, while maintaining high repetition rates and low reagent consumption. + +The device also features the ability to dictate the solution ratio in each pulse, by controlling the orifices through which the various solutions flow, enabling a number of possible kinetics and analysis modes by changing software settings. + +This presentation reports our studies into the use of digital flow instrumentation to measure kinetic data, and the application of the instrumentation for quantitative analysis of clinical molecules. The small dimensions of this propulsion device (smaller than briefcase size) facilitates the development of portable instrumentation, with adequate simplicity for use by non-laboratory-trained personnel performing on-site analyses. The potential application of this technology to clinical diagnostics, process analysis, environmental monitoring, and the forensic sciences will also be discussed. + +[1] In the analytical chemistry community, this has been termed “pulsed flow”, but the methodology is somewhat different from that implied by the terminology in the physical chemistry. +[2] X.D. Wang, T.J. Cardwell, R.W. Cattrall and G.E. Jenkins, +Anal. Commun., 1998, 35, 97. +[3] S.W. Lewis, P.S. Francis, K.F. Lim, G.E. Jenkins and X.D. Wang, +Analyst, 2000, 125, 1869.}, + keywords = {Royal Australian Chemical Institute (RACI) +Royal Society of Chemistry (RSC) +New Zealand Institute of Chemistry (NZIC)}, + year = {2002} +} + + author = {Francis, P.S. and Lim, K.F. and Lewis, S.W.}, + title = {The determination of urea with hypobromite: A theme for the discussion of numerous fundamental concepts in chemistry}, + journal = {The Chemical Educator}, + volume = {10}, + number = {6}, + pages = {419-423}, + abstract = {Over the past century, numerous aspects of the reaction between urea and hypobromite have been exploited to quantify urea in clinical and industrial process samples. A review of these analytical approaches provides an interesting illustration of changes in a chemical system that indicate a reaction has occurred—the production of a gas, a color change, the release of heat, and the emission of light—and a variety of instruments that were developed to measure these changes and quantify a reacting species. In this paper we describe how we have used this material in a tutorial class for first-year undergraduate (freshman) students and a follow-up assignment, which we have included in the supporting material. In addition to the concepts exemplified by the above phenomena, we discuss the reaction pathway, which includes examples of ion and atom transfer. These are often overlooked in favor of electron transfer in the teaching of redox chemistry.}, + keywords = {chemical education +teaching / learning aids +teaching and learning +urea +journal +laboratory instruction +demonstrations +general chemistry +atomic spectroscopy +quantitative analysis +stoichiometry +solution chemistry}, + year = {2005} +} + + author = {Franti, P. and Kivijarvi, J.}, + title = {Randomised Local Search algorithm for the clustering problem}, + journal = {Pattern Analysis and Applications}, + volume = {3}, + number = {4}, + pages = {358-369}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Franti P Univ Joensuu, Dept Comp Sci Box 111 FIN-80101 Joensuu Finland Univ Joensuu, Dept Comp Sci FIN-80101 Joensuu Finland Univ Turku, Dept Comp Sci, Turku Ctr Comp Sci Turku Finland 0007 Pattern Anal. Appl}, + abstract = {We consider clustering as a combinatorial optimisation problem. Local search provides a simple and effective approach to many other combinatorial optimisation problems. It is therefore surprising how seldom it has been applied to the clustering problem. Instead, the best clustering results have been obtained by more complex techniques such as tabu search and genetic algorithms at the cost of high run time. We introduce a new randomised local search algorithm for the clustering problem. The algorithm is easy to implement, sufficiently fast, and competitive with the best clustering methods. The ease of implementation makes it possible to tailor the algorithm for various clustering application with different distance metrics and evaluation criteria. [References: 36] 36}, + keywords = {Clustering. Combinatorial optimisation. Compression. Image processing. +Local search. Vector quantisation. +Quantization codebook generation. Vector quantization. Design. +AI, Robotics, and Automatic Control in Current Contents(R)/Engineering, +Computing and Technology. +2001 week 08}, + year = {2000} +} + + author = {Frick, A. and Schulz, V. and Huttner, G.}, + title = {Interconversion of delta and lambda forms of six-membered chelate cycles a quantitative NMR spectroscopic study of (diphosphane)rhodium compounds}, + journal = {European Journal of Inorganic Chemistry}, + volume = {2002}, + number = {12}, + pages = {3129-3147}, + abstract = {The stereochemical flexibility of six-membered chelate cycles containing phosphorus donor groups has not yet been analysed in detail. With a number of compounds of the type [(kappa-PR2CH2CH(OH)CH2-K-PR'(2))Rh(eta(4)-COD)]+PF6- at hand, and since the solid state structures and the catalytic properties of these compounds are known, an ideal opportunity to study this topic was available. After assigning all of the important H-1, C-13, and P-31 NMR spectroscopic resonances by a combination of one- and two-dimensional NMR spectroscopic methods quantitative interpretation of the 2D NOESY/EXSY spectra was achieved for four compounds [PR2 = PMes(2); PR'(2) = PPh2 (1), DBP (2), PEt2 (3), P(o-anisyl)(2) (4)]. It is found that the conformations that these compounds adopt in solution are similar to the ones observed for them in the solid state. The conformational ensemble in solution comprises lambda twist and delta twist forms;) and 6 isomers are clearly differentiated by quantitative NOE-based structure analysis (distance geometry). Since the sense of chirality of the ligand is known, an absolute assignment of these conformations is possible. The equilibrium constants at 298 K for the delta reversible arrow lambda, isomerisation of compounds 1-4 are not very different from one another, with reaction enthalpies ranging from -8 to -2 kJ mol(-1) and the reaction entropies in the range of -10 to 8 J K-1 mol(-1). The activation barriers are again similar for 1-4 and lie at DeltaH(not equal) = 64 kJ mol(-1). It is observed that the mesityl entities at the PMes(2) donor groups behave as coupled rotors with two rotational pathways open to them during the 6 reversible arrow delta interconversion while they are rotationally fixed in the lambda and delta conformations themselves. Comparing the above results with the enantioselective discrimination found for the same compounds in hydrogenation experiments it becomes clear that there is no direct correlation between the preference of one twist form over the other in the precatalyst and its chiral performance.The Euclidean distance matrix (EDM) completion problem and the positive semidefinite (PSD) matrix completion problem are considered in this paper. Approaches to determine the location of a point in a linear manifold are studied, which are based on a referential coordinate set and a distance vector whose components indicate the distances from the point to other points in the set. For a given referential coordinate set and a corresponding distance vector, sufficient and necessary conditions are presented for the existence of such a point that the distance vector can be realized. The location of the point (if it exists) given by the approaches in a linear manifold is independent of the coordinate system, and is only related to the referential coordinate set and the corresponding distance vector. An interesting phenomenon about the complexity of the EDM completion problem is described. Some properties about the uniqueness and the rigidity of the conformation for solutions to the EDM and PSD completion problems are presented.}, + keywords = {conformational analysis +diphosphanes +rhodium +kinetics +thermodynamics +catalyzed allylic substitution +magnetic-resonance thermometer +asymmetric hydrogenation +distance geometry +relative configuration +molecular mechanics (MM) +chiral bisphosphine +chiral compound +2-dimensional nmr +conformation +complexes}, + year = {2002} +} + +@article{Frigui2008_TFS, + author = {Frigui, H. and Hwang, C.}, + title = {Fuzzy Clustering and Aggregation of Relational Data With Instance-Level Constraints}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {16}, + pages = {1565-1581}, + year = {2008} +} + + author = {Frisch, M.J. and Trucks, G.W. and Schlegel, H.B. and Scuseria, G.E. and Robb, M.A. and Cheeseman, J.R. and Montgomery, J.A., Jr and Vreven, T. and Kudin, K.N. and Burant, J.C. and Millam, J.M. and Iyengar, S.S. and Tomasi, J. and Barone, V. and Mennucci, B. and Cossi, M. and Scalmani, G. and Rega, N. and Petersson, G.A. and Nakatsuji, H. and Hada, M. and Ehara, M. and Toyota, K. and Fukuda, R. and Hasegawa, J. and Ishida, M. and Nakajima, T. and Honda, Y. and Kitao, O. and Nakai, H. and Klene, M. and Li, X. and Knox, J.E. and Hratchian, H.P. and Cross, J.B. and Adamo, C. and Jaramillo, J. and Gomperts, R. and Stratmann, R.E. and Yazyev, O. and Austin, A.J. and Cammi, R. and Pomelli, C. and Ochterski, J.W. and Ayala, P.Y. and Morokuma, K. and Voth, G.A. and Salvador, P. and Dannenberg, J.J. and Zakrzewski, V.G. and Dapprich, S. and Daniels, A.D. and Strain, M.C. and Farkas, O. and Malick, D.K. and Rabuck, A.D. and Raghavachari, K. and Foresman, J.B. and Ortiz, J.V. and Cui, Q. and Baboul, A.G. and Clifford, S. and Cioslowski, J. and Stefanov, B.B. and Liu, G. and Liashenko, A. and Piskorz, P. and Komaromi, I. and Martin, R.L. and Fox, D.J. and Keith, T. and Al-Laham, M.A. and Peng, C.Y. and Nanayakkara, A. and Challacombe, M. and Gill, P.M.W. and Johnson, B.G. and Chen, W. and Wong, M.W. and Gonzalez, C. and Pople, J.A.}, + title = {Gaussian 03}, + publisher = {Gaussian, Inc.}, + keywords = {ab initio quantum calculations +density-functional theory +DFT +Gaussian +molecular modelling +molecular orbital (MO) theory +molecular structure +nuclear magnetic resonance +NMR +quantum chemistry +quantum mechanics +self-consistent field +SCF +Schrödinger equation}, + year = {2003} +} + +@article{Fritsch1980, + author = {Fritsch, F.N. and Carlson, R.E.}, + title = {Monotone pieceuiuse cubic interpolation}, + journal = {SIAM J. Numer. Anal.}, + volume = {17 }, + pages = {238-246}, + year = {1980} +} + +@misc{FUKUDA_URL, + author = {Fukuda, K.}, + title = {http://www.cs.mcgill.ca/$\sim$fukuda/soft/cdd$\_$home/cdd.html}, + +} + +@incollection{Fukuda1996_involume, + author = {Fukuda, K. and Prodon, A.}, + title = {Double description method revisited}, + booktitle = {Combinatorics and Computer Science}, + editor = {Deza, M. and Euler, R. and Manoussakis, I.}, + publisher = {Springer-Verlag}, + address = {Heidelberg}, + pages = {91-111}, + year = {1996} +} + +@article{Fuller2001_FSS, + author = {Fuller, R. and Majlender, P}, + title = {An analytic approach for obtaining maximal entropy OWA operator weights}, + journal = {Fuzzy Sets and Systems}, + volume = {124}, + pages = {53-57}, + year = {2001} +} + +@article{Fuller2003_FSS, + author = {Fuller, R. and Majlender, P.}, + title = {On obtaining minimal variability {OWA} operator weights}, + journal = {Fuzzy Sets and Systems}, + volume = {136 }, + pages = {203-215}, + year = {2003} +} + +@incollection{Gaffney1976_invol, + author = {Gaffney, P.W. and Powell, M.J.D.}, + title = {Optimal interpolation}, + booktitle = {Numerical Analysis}, + editor = {Watson, G.A.}, + series = {Lecture Notes in Mathematics}, + publisher = {Springer}, + address = {Heidelberg}, + volume = {506}, + pages = {90-99}, + year = {1976} +} + +@misc{GalarIEEES_2011, + author = {Galar, M. and Barrenechea, E. and Fernandez, J. and Bustince, H. and Beliakov, G.}, + title = {Representing Images by Means of Interval-valued Fuzzy Sets. Application to Stereo Matching}, + year = {2011} +} + + author = {Galar, M. and Barrenechea, E. and Fernandez, J. and Bustince, H. and Beliakov, G.}, + title = {Representing images by means of interval-valued fuzzy sets. Application to stereo matching}, + booktitle = { IEEE Symposium on Advances in Type-2 Fuzzy Logic Systems}, + publisher = {IEEE}, + pages = {134-141}, + keywords = {estimation theory +fuzzy set theory +image representation +image segmentation +stereo image processing +Pixel correspondence estimation +image interval valued fuzzification process +interval valued fuzzy set +occlusion +stereo matching +stereo vision}, + year = {2011} +} + +@article{Beliakov2010_NNW, + author = {Galar, M. and Bustince, H. and Fernandez, J. and Sanz, J. and Beliakov, G.}, + title = {Fuzzy entropy from weak fuzzy subsethood measures}, + journal = {Neural Networks World}, + volume = {20}, + pages = {139-158}, + year = {2010} +} + +@article{GalarTIP_2011, + author = {Galar, M. and Fernandez, J. and Beliakov, G. and Bustince Sola, H.}, + title = {Interval-Valued Fuzzy Sets Applied to Stereo Matching of Color Images}, + journal = {IEEE Trans. on Image Processing}, + volume = {20}, + pages = {1949-1961}, + year = {2011} +} + +@article{Galperin2002_CMA, + author = {Galperin, E.A. and Kansa, E.J.}, + title = {Application of global optimization and radial basis functions to numerical solutions of weakly singular Volterra integral equations}, + journal = {Computers Math. Applic.}, + volume = {43}, + pages = {491-499}, + year = {2002} +} + +@article{Galperin1993_CMA, + author = {Galperin, E.A. and Zheng, Q.}, + title = {Solution and control of the PDE via global optimization methods}, + journal = {Computers Math. Applic.}, + volume = {25}, + pages = {103-118}, + year = {1993} +} + +@inproceedings{Beliakov2004_ICOTA1, + author = {Garc\'ia Barriocanal, E. and Beliakov, G. and Calvo, T. and Sicilia, M.A.}, + title = {Choquet Integral-Based Aggregation of Interface Usability Parameters: of Fuzzy Measure}, + booktitle = {6th Int. Conf. on Optimization Techniques and Applications}, + address = {Ballarat, Australia}, + pages = {xx-xx}, + year = {2004} +} + +@inproceedings{Garcia2008_conf, + author = {Garcia, V. and Debreuve, E. and Barlaud, M.}, + title = {Fast k nearest neighbor search using GPU}, + booktitle = {Computer Vision and Pattern Recognition Workshops, 2008. CVPRW '08. IEEE Computer Society Conference on}, + pages = {1-6}, + keywords = {computer graphics +image retrieval +search problems +statistical analysis +video signal processing +GPU +Kullback-Leibler divergence +NVIDIA CUDA API +approximated nearest neighbor library +brute force algorithm +efficient variable-bandwidth kernel-based estimators +fast k nearest neighbor search +graphics processing units +image processing +information theory +quasi-linear behavior +statistical measures +video object tracking +video processing}, + year = {2008} +} + +@misc{Lapresta2009_EUSFLAT, + author = {Garcia-Lapresta, J.-L. and Llamazares, B. and Pe\~na, T.}, + title = {Determining {OWA} Weights by Maximizing Consensus}, + publisher = {EUSFLAT}, + volume = {1527-1530}, + year = {2009} +} + +@article{Lapresta_FODM, + author = {Garcia-Lapresta, J.-L. and Martínez-Panero, M.}, + title = {Linguistic-based voting through centered {OWA} operators}, + journal = {Fuzzy Optimization and Decision Making}, + volume = {8}, + pages = {381-393}, + year = {2009} +} + +@article{Gath1997_PRL, + author = {Gath, I. and Smolyak Iskoz, A. and van Cutsem, B.}, + title = {Data induced metric and fuzzy clustering of non-convex patterns of arbitrary shape}, + journal = {Pattern Recognition Letters}, + volume = {18}, + pages = {541-553}, + year = {1997} +} + + author = {Gaviano, M. and Kvasov, D. and Lera, D. and Sergeyev, Y.}, + title = {Algorithm 829: Software for generation of classes of test functions with known local and global minima for global optimization }, + journal = {ACM Transactions on Mathematical Software}, + volume = {29 }, + pages = {469 - 480}, + year = {2003} +} + + author = {Gaviano, R. and Lera, D.}, + title = {Test Functions with Variable Attraction Regions for Global Optimization Problems}, + journal = {Journal of Global Optimization}, + volume = {13}, + number = {2}, + pages = {207-223}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Gaviano R UNIV CAGLIARI DEPT MATH CAGLIARI ITALY}, + abstract = {Functions with local minima and size of their 'region of attraction' known a priori, are often needed for testing the performance of algorithms that solve global optimization problems. In this paper we investigate a technique for constructing test functions for global optimization problems for which we fix a priori: (i) the problem dimension, (ii) the number of local minima, (iii) the local minima points, (iv) the function values of the local minima. Further, the size of the region of attraction of each local minimum may be made large or small. The technique consists of first constructing a convex quadratic function and then systematically distorting selected parts of this function so as to introduce local minima. [References: 13]}, + keywords = {Global optimization. Test problems. +Construction. Programs. +Engineering mathematics.}, + year = {1998} +} + +@book{Gentle2003_book, + author = {Gentle, J.E.}, + title = {Random number generation and Monte Carlo methods}, + publisher = {Springer}, + address = {New York}, + year = {2003} +} + + author = {Gerardi, R.D. and Barnett, N.W. and Lewis, S.W.}, + title = {Analytical applications of tris(2,2'-bipyridyl)ruthenium(III) as a chemiluminescent reagent}, + journal = {Anal. Chim. Acta}, + volume = {378}, + number = {1}, + pages = {1-41}, + keywords = {journal +review +tris(2,2'-bipyridyl)ruthenium(III); Ru(bipy)32+ +chemiluminescence (CL) +analytical chemistry}, + year = {1999} +} + + author = {Gerothanasis, I.P. and Troganis, A. and Exarchou, V. and Barbarossou, K.}, + title = {Nuclear magnetic resonance (NMR) spectroscopy: Basic principles and phenomena, and their applications to chemistry, biology and medicine}, + journal = {Chemistry Education: Research and Practice in Europe}, + volume = {3}, + number = {2}, + pages = {229-252}, + abstract = {Nuclear Magnetic Resonance (NMR) spectroscopy has made a tremendous impact in many areas of chemistry, biology and medicine. In this report a student-oriented approach is presented, which enhances the ability of students to comprehend the basic concepts of NMR spectroscopy and the NMR spectra of various nuclei. The origin of chemical shifts, coupling constants, spin relaxation and the Nuclear Overhauser Effect (NOE) will be discussed and their relation to molecular structure will be provided. A wide range of applications of NMR spectroscopy is presented, including exchange phenomena, the identification and structural studies of complex biomolecules, such as proteins, applications to food analysis, clinical studies, NMR as a microscope and magnetic tomography.}, + keywords = {journal +chemical education +CERAPIE +World-Wide Web (WWW) +nuclear magnetic resonance (NMR) +nuclear Overhauser effect (NOE)}, + year = {2002} +} + +@article{Wright2003_ACM, + author = {Gertz, E.M. and Wright, S.J.}, + title = {Object-Oriented Software for Quadratic Programming}, + journal = {ACM Trans. Math. Software}, + volume = {29}, + pages = {58-81}, + year = {2003} +} + +@article{Gertz2003_ACM, + author = {Gertz, E. M. and Wright, S. J.}, + title = {Object-Oriented Software for Quadratic Programming}, + journal = {ACM Trans. Math. Software}, + volume = {29}, + pages = {58-81}, + year = {2003} +} + +@article{Gervini2003, + author = {Gervini, D.}, + title = {A robust and efficient adaptive reweighted estimator of multivariate location and scatter}, + journal = {Journal of Multivariate Analysis}, + volume = {84}, + number = {1}, + pages = {116-144}, + abstract = {This article proposes a reweighted estimator of multivariate location and scatter, with +weights adaptively computed from the data. Its breakdown point and asymptotic behavior +under elliptical distributions are established. This adaptive estimator is able to attain +simultaneously the maximum possible breakdown point for affine equivariant estimators +and full asymptotic efficiency at the multivariate normal distribution. For the special +case of hard-rejection weights and the MCD as initial estimator, it is shown to be more +efficient than its non-adaptive counterpart for a broad range of heavy-tailed elliptical +distributions. A Monte Carlo study shows that the adaptive estimator is as robust as +its non-adaptive relative for several types of bias-inducing contaminations, while it is +remarkably more efficient under normality for sample sizes as small as 200.}, + year = {2003} +} + +@article{Gervini2003, + author = {Gervini, D}, + title = {A robust and efficient adaptive reweighted estimator of multivariate location and scatter}, + journal = {Journal of Multivariate Analysis}, + volume = {84}, + number = {1}, + pages = {116 - 144 }, + abstract = {This article proposes a reweighted estimator of multivariate location and scatter, with weights adaptively computed from the data. Its breakdown point and asymptotic behavior under elliptical distributions are established. This adaptive estimator is able to attain simultaneously the maximum possible breakdown point for affine equivariant estimators and full asymptotic efficiency at the multivariate normal distribution. For the special case of hard-rejection weights and the MCD as initial estimator, it is shown to be more efficient than its non-adaptive counterpart for a broad range of heavy-tailed elliptical distributions. A Monte Carlo study shows that the adaptive estimator is as robust as its non-adaptive relative for several types of bias-inducing contaminations, while it is remarkably more efficient under normality for sample sizes as small as 200.}, + year = {2003} +} + + author = {Gervini, Daniel}, + title = {A robust and efficient adaptive reweighted estimator of multivariate location and scatter}, + journal = {J. Multivar. Anal.}, + volume = {84}, + number = {1}, + pages = {116-144}, + year = {2003} +} + +@article{Gervini2005, + author = {Gervini, D.}, + title = {Robust adaptive estimators for binary regression models}, + journal = {Journal of Statistical Planning and Inference}, + volume = {131}, + number = {2}, + pages = {297-311}, + abstract = {This article introduces adaptive weighted maximum likelihood estimators for binary regression models. The asymptotic distribution under the model is established, and asymptotic confidence intervals are derived. Finite-sample properties are studied by simulation. For clean datasets, the proposed adaptive estimators are more efficient than the non-adaptive ones even for moderate sample sizes, and for outlier-contaminated datasets they show a comparable robustness. As for the asymptotic confidence intervals, the actual coverage levels under the model are very close to the nominal levels (even for moderate sample sizes), and they are reasonably stable under contamination.}, + year = {2005} +} + +@article{Gervini2008_AS, + author = {Gervini, D. and Yohai, V.J.}, + title = {Aclass of robust and fully efficient regression estimators}, + journal = {Ann. Statist.}, + volume = {30}, + pages = {583–616}, + year = {2002} +} + +@article{Gervini2002, + author = {Gervini, D. and Yohai, V.J.}, + title = {A class of robust and fully efficient regression estimators}, + journal = {The Annals of Statistics}, + volume = {30}, + number = {2}, + pages = {583–616}, + abstract = {This paper introduces a new class of robust estimators for the linear +regression model. They are weighted least squares estimators, with weights +adaptively computed using the empirical distribution of the residuals of an +initial robust estimator. It is shown that under certain general conditions +the asymptotic breakdown points of the proposed estimators are not less +than that of the initial estimator, and the finite sample breakdown point +can be at most 1/n less. For the especial case of the least median of +squares as initial estimator, hard rejection weights and normal errors +and carriers, the maximum bias function of the proposed estimators for +point-mass contaminations is numerically computed, with the result that +there is almost no worsening of bias. Moreover –and this is the original +contribution of this paper– if the errors are normally distributed and under +fairly general conditions on the design the proposed estimators have full +asymptotic efficiency. A Monte Carlo study shows that they have a better +behavior than the initial estimators for finite sample sizes.}, + year = {2002} +} + +@article{Gervini2002, + author = {Gervini, D. and Yohai, V.J.}, + title = {A class of robust and fully efficient regression estimators}, + journal = {Ann. Statist.}, + volume = {30}, + number = {2}, + pages = {583-616}, + abstract = {MR1902900 (2003d:62154) Only summary in English?? +Summary: ``This paper introduces a new class of robust estimators for the linear regression model. They are weighted least squares estimators, with weights adaptively computed using the empirical distribution of the residuals of an initial robust estimator. It is shown that under certain general conditions the asymptotic breakdown points of the proposed estimators are not less than that of the initial estimator, and the finite sample breakdown point can be at most $1/n$ less. For the special case of the least median of squares as an initial estimator, hard rejection weights and normal errors and carriers, the maximum bias function of the proposed estimators for point-mass contaminations is numerically computed, with the result that there is almost no worsening of bias. Moreover---and this is the original contribution of this paper---if the errors are normally distributed and under fairly general conditions on the design the proposed estimators have full asymptotic efficiency. A Monte Carlo study shows that they have better behavior than the initial estimators for finite sample sizes.''}, + year = {2002} +} + + author = {Gibas, C. and Jambeck, P.}, + title = {Developing Bioinformatics Computer Skills}, + publisher = {O'Reilly and Associates}, + address = {Sebastopol (CA)}, + keywords = {bioinformatics +IT literacy +IT skills +undergraduate text}, + year = {2001} +} + + author = {Gilbert, R.G. and Smith, S.C.}, + title = {Theory of Unimolecular and Recombination Reactions}, + publisher = {Blackwells Scientific}, + address = {Oxford}, + series = {Physical Chemistry Texts}, + keywords = {kinetics +RRKM theory +variational transition state theory; TST; VTST +collisional energy transfer +master equation +standard text}, + year = {1990} +} + +@article{Gilks1995_appstat, + author = {Gilks, W. and Best, N.G. and Tan, K.K.C.}, + title = {Adaptive rejection Metropolis sampling}, + journal = {Appl. Stat.}, + volume = {5}, + pages = {455-472}, + year = {1995} +} + +@article{Gilonia2006, + author = {Gilonia, A. and Simonoff, J.S. and Sengupta, B.}, + title = {Robust weighted LAD regression}, + journal = {Computational Statistics & Data Analysis}, + volume = { 50}, + pages = {3124 - 3140}, + abstract = {The least squares linear regression estimator is well-known to be highly sensitive to unusual observations +in the data, and as a result many more robust estimators have been proposed as alternatives. +One of the earliest proposals was least-sum of absolute deviations (LAD) regression, where the regression +coefficients are estimated through minimization of the sum of the absolute values of the +residuals. LAD regression has been largely ignored as a robust alternative to least squares, since it +can be strongly affected by a single observation (that is, it has a breakdown point of 1/n, where n +is the sample size). In this paper we show that judicious choice of weights can result in a weighted +LAD estimator with much higher breakdown point. We discuss the properties of the weighted LAD +estimator, and show via simulation that its performance is competitive with that of high breakdown +regression estimators, particularly in the presence of outliers located at leverage points.We also apply +the estimator to several data sets. +}, + year = {2006} +} + + author = {Ginalski, K. and Grishin, N. and Godzik, A. and Rychlewski, L.}, + title = {Practical lessons from protein structure prediction }, + journal = {Nucleic Acids Research}, + volume = {33}, + pages = {1874-1891}, + year = {2005 } +} + +@book{Gini1958_book, + author = {Gini, C. et al}, + title = {Le Medie}, + publisher = {Unione Tipografico-Editorial Torinese}, + address = {Milan}, + edition = {(Russian translation, Srednie Velichiny, Statistica, Moscow, 1970)}, + year = {1958} +} + + author = {Giorgi, G. and Guerraggio, A. and Thierfelder, J.}, + title = {Mathematics Of Optimization: Smooth And Nonsmooth Case}, + publisher = {Elsevier}, + address = {Amsterdam}, + year = {2004} +} + + author = {Glover, B. M. and Jeyakumar, V. and Rubinov, A. M.}, + title = {Dual conditions characterizing optimality for convex multi-objective programs}, + journal = {Mathematical Programming}, + volume = {84}, + number = {1}, + pages = {201-217}, + abstract = {Asymptotic necessary and sufficient conditions for a point to be a Pareto minimum, and weak minimum (proper minimum) for a convex multi-objective program are given without a regularity condition. It is further shown that, in the cases of weak minimum and single objective function, the asymptotic dual conditions reduce to nonasymptotic optimality conditions under Slater's constraint qualification. The results are applied to multi-objective quadratic and linar programming problems. Numerical examples are given to illustrate the nature of the conditions. [References: 23] 23}, + keywords = {Pareto minimum. Convex programming. Epsilon-subdifferentials. +Multi-objective optimization. +Global optimization. Farkas lemma. Systems. +Mathematics in Current Contents(R)/Physical, Chemical and Earth Sciences. +1999 week 34 +Reprint available from: Glover BM. Curtin Univ Technol, Res and Dev, +Bentley, WA 6102, Australia.}, + year = {1999} +} + + author = {Glover, B. M. and Rubinov, A. M. and Craven, B. D.}, + title = {Solvability Theorems Involving Inf-Convex Functions}, + journal = {Journal of Mathematical Analysis and Applications}, + volume = {191}, + number = {2}, + pages = {305-330}, + abstract = {This paper presents a unified theory on solvability of certain general systems of inequalities involving functions expressible as the pointwise infimum of convex functions. The approach used to develop these solvability theorems relies on Minkowski duality. Extensions of Farkas' lemma and other solvability theorems are developed, both with and without a regularity condition, with applications to optimization. (C) 1995 Academic Press, Inc. [References: 27] 27}, + keywords = {Inequality systems. Farkas lemma. Minimax. +Mathematics. +Reprint available from: Glover BM. UNIV BALLARAT, SCH INFORMAT TECHNOL and +MATH SCI, BALLARAT, VIC 3353.}, + year = {1995} +} + + author = {Glunt, W. and Hayden, T.L. and Raydan, M.}, + title = {Molecular conformations from distance matrices}, + journal = {Journal of Computational Chemistry}, + volume = {14}, + number = {1}, + pages = {114-120}, + abstract = {Two algorithms are introduced that show exceptional promise in finding molecular conformations using distance geometry on nuclear magnetic resonance data. The first algorithm is a gradient version of the majorization algorithm from multidimensional scaling. The second algorithm is an iterative algorithm between possible configurations obtained from the first algorithm and perissible data points near the configuration.}, + keywords = {distance geometry +molecular modelling +conformation +configuration +peptide}, + year = {1993} +} + +@inproceedings{godo-sierra-88, + author = {Godo, L. and Sierra, C.}, + title = {A new approach to connective generation in the framework of expert systems using fuzzy logic}, + booktitle = {18th International Symposium on Multiple-Valued Logic}, + address = {Palma de Mallorca}, + publisher = {IEEE Computer Society Press}, + pages = {157-162}, + year = {1988} +} + + author = {Goertzel, B.}, + title = {Global optimization with space-filling curves}, + journal = {Applied Mathematics Letters}, + volume = {12}, + number = {8}, + pages = {133-135}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Goertzel B Intelligenesis Corp 50 Broadway New York, NY 10004 USA Intelligenesis Corp New York, NY 10004 USA 0022 Appl. Math. Lett}, + abstract = {It is shown that, contrary to a claim of Torn and Zilinskas, it is possible to efficiently optimize functions on n dimensions by projecting them into a single dimension using a space-filling curve. (C) 1999 Elsevier Science Ltd. All rights reserved. [References: 6] 6}, + keywords = {Mathematics in Current Contents(R)/Physical, Chemical and Earth Sciences. +1999 week 44 +Reprint available from: Goertzel B. Intelligenesis Corp, 50 Broadway, New +York, NY 10004, USA.}, + year = {1999} +} + + author = {Goldberg, David E.}, + title = {Genetic algorithms in search, optimization, and machine learning}, + publisher = {Addison-Wesley Pub. Co.}, + address = {Reading, Mass.}, + note = {88006276 +David E. Goldberg. +Includes index. +Bibliography: p. [381]-401.}, + keywords = {Combinatorial optimization. +Algorithms. +Machine learning.}, + year = {1989} +} + +@incollection{Golomb1959_inbook, + author = {Golomb, M. and Weinberger, H.F.}, + title = {Optimal approximation and error bounds}, + booktitle = {On Numerical Approximation}, + editor = {Langer, R. E.}, + publisher = {The Univ. of Wisconsin Press,}, + address = {Madison}, + pages = {117-190}, + year = {1959} +} + + author = {Goodman, J.M.}, + title = {What is the longest unbranched alkane with a linear global minimum conformation}, + journal = {Journal of Chemical Information and Computer Sciences}, + volume = {37}, + number = {5}, + pages = {876-878}, + abstract = {Shea unbranched alkanes, such as heptane and hexane, prefer extended conformations. Polythene chains prefer folded conformations. How long a chain earn be built before the global minimum conformation ceases to be linear? The question is a difficult one, because exhaustive conformation searches on molecules of the size where the transition is likely to occur are very time consuming. This study demonstrates that the answer is not more than 17 for the MM2* force field and that the question provides a sensitive measure of comparison between force fields, solvent models, and semiempirical methods.}, + keywords = {American Chemical Society (ACS) +molecular mechanics (MM) +molecular modelling +conformation +force field +molecular mechanics +semiempirical methods +nucleic acids +optimization +proteins}, + year = {1997} +} + + author = {Goodman, J.M.}, + title = {Chemical Applications of Molecular Modelling}, + publisher = {Royal Society of Chemistry}, + address = {Cambridge (UK)}, + note = {Contents +Introduction; Force Fields; Minimization; Conformation Searching; Molecular Dynamics; Molecular Orbital Theory; Examples; Databases; Examples; Applications; Glossary; Appendix; References and Further Reading; Subject Index}, + abstract = {As computers become an important part of everyday life, molecular modelling is affecting all parts of chemistry, and is particularly useful in organic chemistry. But how does it work? How reliable is it? What are its limitations? Is it useful for normal chemists? In answering these questions, this book demystifies molecular modelling, enabling the non-specialist to appreciate the power, but also the limitations, of the computational tools available. +Chemical Applications of Molecular Modelling provides a background to the methods used and describes how they have developed. It also shows how molecular modelling has been used to address chemical questions commonly asked by the experimental chemist, and includes many examples and case studies. It will be suitable as an undergraduate coursebook - putting normal chemistry course work into perspective with respect to modelling methods - as well as providing a useful reference for researchers. +A discussion area and enhanced images from the book are available at: + }, + keywords = {book +Cutter Bequest project +chemical education +undergraduate education +undergraduate textbook +molecular modelling +molecular mechanics (MM) +molecular orbital (MO) theory +quantum chemistry +simulation +computers in chemistry +chemistry +computational chemistry}, + year = {1998} +} + +@incollection{Goodman1989, + author = {Goodman, T.N.T.}, + title = {Shape preserving representations}, + booktitle = {Mathematical methods in computer aided geometric design}, + editor = {Lyche, T. and Schumaker, L.L.}, + publisher = {Academic press}, + address = {New York}, + pages = {333-351}, + year = {1989} +} + +@article{Grabisch1996_EJOR, + author = {Grabisch, M.}, + title = {The applications of fuzzy integrals in multicriteria decision making}, + journal = {Europ. J. Operations Research}, + volume = {89}, + pages = {445-456}, + year = {1996} +} + + author = {Grabisch, M.}, + title = {$k$--order additive fuzzy measures}, + booktitle = {IPMU}, + address = {Granada}, + pages = {1345-1350}, + year = {1996} +} + +@article{Grabisch1997_fss, + author = {Grabisch, M.}, + title = {k-order additive discrete fuzzy measures and their representation}, + journal = {Fuzzy Sets and Systems}, + volume = {92}, + pages = {167-189}, + year = {1997} +} + +@article{grabishk-possmesaure, + author = {Grabisch, M.}, + title = {On the representation of discrete measures for decision making}, + journal = {Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems}, + volume = {5 }, + pages = {587-607}, + year = {1997} +} + +@incollection{Grabisch2000_inbook, + author = {Grabisch, M.}, + title = {The interaction and Mobius representation of fuzzy measures on finite spaces, k-additive measures: a survey}, + booktitle = {Fuzzy Measures and Integrals.Theory and Applications}, + editor = {Grabisch, M. and Murofushi, T. and Sugeno, M.}, + publisher = {Physica-Verlag}, + address = {Heidelberg}, + pages = {70-93}, + year = {2000} +} + +@inproceedings{Grabisch2004_IPMU, + author = {Grabisch, M.}, + title = {The Choquet integral as a linear interpolator}, + booktitle = {10th Int. Conf. on Information Processing and Management of Uncertainty }, + address = {Perugia, Italy}, + pages = {373-378}, + year = {2004} +} + +@article{Grabisch2007_EJOR, + author = {Grabisch, M. and Kojadinovic, I. and Meyer, P.}, + title = {A review of methods for capacity identification in {C}hoquet integral based multi-attribute utility theory}, + journal = {Europ. J. Operations Research}, + volume = {186}, + pages = {766-785}, + year = {2008} +} + +@incollection{Grabisch-Labreuche-00, + author = {Grabisch, M. and Labreuche, C. }, + title = {To be symmetric or asymmetric? A dilemma in decision making}, + booktitle = {Preferences and Decisions under Incomplete Knowledge}, + editor = {Fodor, J. and De Baets, B. and Perny, P.}, + publisher = {Physica--Verlag}, + address = {Heidelberg}, + year = {2000} +} + +@article{Grabisch2005_FSS, + author = {Grabisch, M. and Labreuche, C.}, + title = {Bi-capacities --- {P}art {I}: definition, {M}\"obius transform and interaction}, + journal = {Fuzzy Sets and Systems}, + volume = {151 }, + pages = {211-236}, + year = {2005} +} + +@article{Grabisch2005_FSS2, + author = {Grabisch, M. and Labreuche, C.}, + title = {Bi-capacities --- {P}art {II}: the {C}hoquet integral}, + journal = {Fuzzy Sets and Systems}, + volume = {151 }, + pages = {237-259}, + year = {2005} +} + +@article{Grabisch2008_4OR, + author = {Grabisch, M. and Labreuche, C.}, + title = {A decade of application of the {C}hoquet and {S}ugeno integrals in multi-criteria decision aid}, + journal = {4OR: A Quarterly Journal of Operations Research}, + volume = {6}, + pages = {1-44}, + year = {2008} +} + +@book{Grabisch2007_book, + author = {Grabisch, M. and Marichal, J.-L. and Mesiar, R. and Pap, E.}, + title = {Aggregation Functions}, + publisher = {Cambridge University Press}, + address = {Cambridge}, + year = {2009} +} + +@article{Grabisch2000_MOR, + author = {Grabisch, M. and Marichal, J.-L. and Roubens, M.}, + title = {Equivalent representations of set functions}, + journal = {Mathematics of Oper. Res.}, + volume = {25}, + pages = {157-178}, + year = {2000} +} + +@book{Grabisch1995_book, + author = {Grabisch, M. and Nguyen, H.T. and Walker, E.A.}, + title = {Fundamentals of Uncertainty Calculi, with Applications to Fuzzy Inference}, + publisher = {Kluwer}, + address = {Dordrecht}, + year = {1995} +} + +@inproceedings{Grabisch-96, + author = {Grabisch, M. and Roubens, M.}, + title = {Equivalent representations of a set function with application to decision making}, + booktitle = {6th IEEE Int. Conf. on Fuzzy Systems}, + year = {1996} +} + + author = {Grant, G. and Moore, E.A.}, + title = {Case study: Molecular modelling in rational drug design}, + booktitle = {Molecular Modelling and Bonding}, + editor = {Moore, E.A.}, + series = {The Molecular World}, + publisher = {Royal Society of Chemistry}, + address = {Cambridge (UK)}, + volume = {6}, + keywords = {chemical education +undergraduate education +undergraduate textbook +molecular modelling +molecular mechanics (MM) +molecular orbital (MO) theory +quantum chemistry +drug discovery +quantitative structure-activity relationship (QSAR)}, + year = {2002} +} + + author = {Grant, J.A and Pickup, B.T.}, + title = {A fast method of molecular shape comparison: A simple application of Gaussian description of molecular shape}, + journal = {Journal of Computational Chemistry}, + volume = {17}, + number = {14}, + pages = {1653-1666}, + abstract = {overlapping atom-centred Gaussians replace more conventional intersecting hard spheres}, + keywords = {molecular properties / structure +Gaussian +molecular modelling +molecular structure}, + year = {1996} +} + + author = {Grefenstette, John J.}, + title = {Genetic algorithms for machine learning}, + publisher = {Kluwer Academic Publishers}, + address = {Boston}, + note = {93034282 +edited by John J. Grefenstette. +"A Special issue of Machine learning." +"Reprinted from Machine learning, vol. 13, nos. 2-3 (1993)." +Includes bibliographical references and index. +Machine learning.}, + keywords = {Machine learning. +Genetic algorithms.}, + year = {1994} +} + +@article{Gregory1982, + author = {Gregory, J.A. and Delbourgo, R.}, + title = {Piecewise rational quadratic interpolation to monotonic data}, + journal = {IMA Journal of Numerical Analysis}, + volume = {2}, + pages = {123-130}, + year = {1982} +} + + author = {Greiner, H.}, + title = {A survey on univariate data interpolation and approximation by splines of given shape}, + journal = {Math. Comp. Modelling}, + volume = {15}, + pages = {97-106}, + year = {1991} +} + + author = {Groenen, P. J. F. and Heiser, W. J. and Meulman, J. J.}, + title = {Global optimization in least-squares multidimensional scaling by distance smoothing}, + journal = {Journal of Classification}, + volume = {16}, + number = {2}, + pages = {225-254}, + note = {Current Contents(R)/Social and Behavioral Sciences. +Reprint available from: Groenen PJF Leiden Univ, Data Theory Grp, Dept Educ POB 9555 NL-2300 RB Leiden Netherlands Leiden Univ, Data Theory Grp, Dept Educ NL-2300 RB Leiden Netherlands Leiden Univ, Dept Psychol NL-2300 RB Leiden Netherlands 0004 J. Classif}, + abstract = {Least-squares multidimensional scaling is known to have a serious problem of local minima, especially if one dimension is chosen, or if city-block distances are involved. One particular strategy, the smoothing strategy proposed by Pliner (1986, 1996), turns out to be quite successful in these cases. Here, we propose a slightly different approach, called distance smoothing. We extend distance smoothing for any Minkowski distance. In addition, we extend the majorization approach to multidimensional scaling to have a one-step update for Minkowski parameters larger than 2 and use the results for distance smoothing. We present simple ideas for finding quadratic majorizing functions. The performance of distance smoothing is investigated in several examples, including two simulation studies. [References: 34] 34}, + keywords = {Multidimensional scaling. Minkowski distances. Global optimization. +Smoothing. Majorization. +Library and Information Science in Current Contents(R)/Social and Behavioral +Sciences. +1999 week 50 +Reprint available from: Groenen PJF. Leiden Univ, Data Theory Grp, Dept +Educ, POB 9555, NL-2300 RB Leiden, Netherlands.}, + year = {1999} +} + + author = {Gronwald, W. and Moussa, S. and Elsner, R. and Jung, A. and Ganslmeier, B. and Trenner, J. and Kremer, W. and Neidig, K.P. and Kalbitzer, H.R.}, + title = {Automated assignment of NOESY NMR spectra using a knowledge based method (KNOWNOE)}, + journal = {Journal of Biomolecular NMR}, + volume = {23}, + number = {4}, + pages = {271-287}, + abstract = {Automated assignment of NOESY spectra is a prerequisite for automated structure determination of biological macromolecules. With the program KNOWNOE we present a novel, knowledge based approach to this problem. KNOWNOE is devised to work directly with the experimental spectra without interference of an expert. Besides making use of routines already implemented in AUREMOL, it contains as a central part a knowledge driven Bayesian algorithm for solving ambiguities in the NOE assignments. These ambiguities mainly arise from chemical shift degeneration which allows multiple assignments of cross peaks. Using a set of 326 protein NMR structures, statistical tables in the form of atom-pairwise volume probability distributions (VPDs) were derived. VPDs for all assignment possibilities relevant to the assignments of interproton NOEs were calculated. With these data for a given cross peak with N possible assignments A(i) (i = 1,...,N) the conditional probabilities P(A(i), a V-0 ) can be calculated that the assignment A(i) determines essentially all (a-times) of the cross peak volume V-0. An assignment A(k) with a probability P(A(k), a V-0) higher than 0.8 is transiently considered as unambiguously assigned. With a list of unambiguously assigned peaks a set of structures is calculated. These structures are used as input for a next cycle of iteration where a distance threshold D-max is dynamically reduced. The program KNOWNOE was tested on NOESY spectra of a medium size protein, the cold shock protein (TmCsp) from Thermotoga maritima. The results show that a high quality structure of this protein can be obtained by automated assignment of NOESY spectra which is at least as good as the structure obtained from manual data evaluation.}, + keywords = {nuclear magnetic resonance (NMR) +NOESY spectra +nuclear Overhauser effect (NOE) +molecular structure +distance geometry +signal class recognition +protein +molecular structure +correlated spectroscopy +peak integration +Bayesian method}, + year = {2002} +} + +@article{Gulasirima2007, + author = {Gulasirima, R. and Siripanich, P.}, + title = {A Partial Robustifying Weighted Least Squares Estimator}, + journal = {Thailand Statistician}, + volume = {5}, + pages = {41-55}, + abstract = {The objective of this study is to introduce an alternative weighted least squares +estimator called a partial robustifying weighted least squares (RWLS2) estimator. The +weight is coincided with the weight of robustifying weighted least squares (RWLS1) +estimator proposed by Gulasirima and Siripanich [3] but is partially applied on residuals. +Based on ideas of Windham [7] and Gervini and Yohai [2], the proposed weight function +is assigned to be one for good observations and less than one for outliers or influential +observations. In particular the weight is a proportion of a power of density of errors. +RWLS2 is an alternative robust regression estimator which accommodates outliers whilst +all assumptions are retained. +The weighted normal random variable has an invariance property with zero +mean and decreasing variance. By the results of real data study, it is found that the +proposed weight can reduce the effect of influential outliers. RWLS2 performs as well as +RWLS1 by mean of R2 but slightly better by means of relative efficiency based on the +MSE of least squares (LS) estimator. Both estimators work as well as the LS in situation +of no outlier but obviously better when outliers exist.}, + year = {2007} +} + + author = {Gumus, Z. H. and Floudas, C. A.}, + title = {Global optimization of nonlinear bilevel programming problems}, + journal = {Journal of Global Optimization}, + volume = {20}, + number = {1}, + pages = {1-31}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Floudas CA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA 0001 J. Glob. Optim}, + abstract = {A novel technique that addresses the solution of the general nonlinear bilevel programming problem to global optimality is presented. Global optimality is guaranteed for problems that involve twice differentiable nonlinear functions as long as the linear independence constraint qualification condition holds for the inner problem constraints. The approach is based on the relaxation of the feasible region by convex underestimation, embedded in a branch and bound framework utilizing the basic principles of the deterministic global optimization algorithm, alpha BB [2, 4, 5, 11]. Epsilon global optimality in a finite number of iterations is theoretically guaranteed. Computational studies on several literature problems are reported. [References: 67] 67}, + keywords = {Bilevel programming. Bilevel optimization. Twice-continuously +differentiable. Global optimization. Bilevel nonlinear. Nonconvex. +Mixed integer nonlinear optimization. +Differentiable constrained nlps. Chemical process design. Alpha-bb. +Penalty methods. Algorithms. Branch. Models. +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +2001 week 25}, + year = {2001} +} + + author = {Güntert, P.}, + title = {Automated NMR protein structure calculation}, + journal = {Progress in Nuclear Magnetic Resonance Spectroscopy}, + volume = {43}, + number = {3-4}, + pages = {105-125}, + keywords = {journal +nuclear magnetic resonance (NMR) +protein +molecular structure +protein structure +chemical shift assignment +conformational constraints +automated structure determination +automated assignment +distance geometry +conformational analysis +review}, + year = {2003} +} + + author = {Güntert, P.}, + title = {Automated NMR protein structure calculation with CYANA}, + journal = { Meth. Mol. Biol. }, + volume = {278}, + pages = {353-378}, + year = {2004} +} + + author = {Güntert, P. and Braun, W. and Wüthrich, K.}, + title = {Efficient computation of three-dimensional protein structures in solution from nuclear magnetic resonance data using the program DIANA and the supporting programs CALIBA, HABAS and GLOMSA}, + journal = {J. Mol. Biol.}, + volume = {217}, + pages = {517-530}, + keywords = {molecular structure +protein +nuclear magnetic resonance (NMR) +distance geometry}, + year = {1991} +} + + author = {Güntert, P. and Mumenthaler, C. and Wüthrich, K.}, + title = {Torsion angle dynamics for NMR structure calculation with the new program DYANA}, + journal = {J. Mol. Biol.}, + volume = {273}, + pages = {283-298}, + keywords = {molecular structure +protein +nuclear magnetic resonance (NMR) +distance geometry}, + year = {1997} +} + + author = {Gupta, H.V. and Hsu, K. and Sorooshian, S.}, + title = {Superior training of artificial neural networks using weight-space partitioning}, + booktitle = {International conference on neural networks}, + address = {Houston, USA}, + pages = {1919-1923}, + year = {1997} +} + + author = {Gustafson, E.E. and Kessel, W.C.}, + title = {Fuzzy clustering with a fuzzy covariance matrix}, + booktitle = {IEEE CDC}, + address = {San Diego}, + pages = {761-766}, + year = {1979} +} + + author = {Gutmann, H. M.}, + title = {A radial basis function method for global optimization}, + journal = {Journal of Global Optimization}, + volume = {19}, + number = {3}, + pages = {201-227}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Gutmann HM Univ Cambridge, Dept Appl Math and Theoret Phys Silver St Cambridge CB3 9EW England Univ Cambridge, Dept Appl Math and Theoret Phys Cambridge CB3 9EW England 0002 J. Glob. Optim}, + abstract = {We introduce a method that aims to find the global minimum of a continuous nonconvex function on a compact subset of R-d. It is assumed that function evaluations are expensive and that no additional information is available. Radial basis function interpolation is used to define a utility function. The maximizer of this function is the next point where the objective function is evaluated. We show that, for most types of radial basis functions that are considered in this paper, convergence can be achieved without further assumptions on the objective function. Besides, it turns out that our method is closely related to a statistical global optimization method, the P-algorithm. A general framework for both methods is presented. Finally, a few numerical examples show that on the set of Dixon-Szego test functions our method yields favourable results in comparison to other global optimization methods. [References: 21] 21}, + keywords = {Global optimization. Radial basis functions. Interpolation. +P-algorithm. +Algorithm. Search. +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +2001 week 18}, + year = {2001} +} + +@book{Gyorfi2002_book, + author = {Gyorfi, L. and Kohler, M. and Krzyzak, A. and Walk, H.}, + title = {A Distribution-Free Theory of Nonparametric Regression}, + publisher = {Springer}, + address = {New York}, + year = {2002} +} + +@book{Hoppner1999_book, + author = {H\"oppner, F. and Klawonn, F. and Kruse, R. and Runkler, T.}, + title = {Fuzzy cluster analysis: methods for classification, data analysis, and image recognition}, + publisher = {John Wiley}, + address = {New York}, + keywords = {Cluster analysis. +Fuzzy sets.}, + year = {1999} +} + +@book{HLD2004_book, + author = {H\"ormann, W. and Leydold, J. and Derflinger, G.}, + title = {Automatic Nonuniform Random Variate Generation}, + publisher = {Springer}, + address = {Berlin}, + year = {2004} +} + +@incollection{Hullermeier2006_inbook, + author = {H\"ullermeier, E.}, + title = {The {C}hoquet-Integral as an Aggregation Operator in Case-Based Learning}, + booktitle = {Computational Intelligence, Theory and Applications}, + editor = {Reusch, B.}, + publisher = {Springer}, + address = {Berlin, Heidelberg}, + pages = {615-627}, + year = {2006} +} + +@article{Habshah2009, + author = {Habshah, M. and Norazan, M. R. and Rahmatullah Imon, A.H.M.}, + title = {The performance of diagnosticrobust generalized potentials for the identification of multiple high leverage points in linear regression}, + journal = {Journal of Applied Statistics}, + volume = {36}, + number = {5}, + pages = {507 - 520}, + year = {2009} +} + +@inproceedings{Hader2002, + author = {Hader, S. and Hamprecht, F. A.}, + title = {Efficient density clustering using basin spanning trees}, + booktitle = {26th Conf. of the Gesellschaft für Klassifikation (GfKl)}, + editor = {Schader, M. and Gaul, W. and Vichi, M.}, + address = {Mannheim, Germany}, + publisher = {Springer}, + pages = {39-48}, + year = {2002} +} + +@article{Hadi1997_CSDA, + author = {Hadi, A.S. and Luceño, A.}, + title = {Maximum trimmed likelihood estimators: a unified approach, examples, and algorithms}, + journal = {Computational Statistics and Data Analysis}, + volume = {25}, + pages = {251-272}, + year = {1997} +} + +@article{Hadi1993_JASA, + author = {Hadi, A.S. and Simonoff, J.S.}, + title = {Procedures for the identification of multiple outliers in linear models}, + journal = {J. Amer. Statist. Assoc}, + volume = {88}, + pages = {1264-1272}, + year = {1993} +} + +@article{Hadi, + author = {Hadi, A.S. and Simonoff, J.S.}, + title = {Procedures for the Identification of Multiple Outliers in Linear Models}, + journal = {Journal of the American Statistical Association}, + volume = {88}, + number = {424}, + pages = {1264-1272}, + year = {1993} +} + +@article{Hadi1993, + author = {Hadi, A.S. and Simonoff, J.S.}, + title = {Procedures for the Identification of Multiple Outliers in Linear Models}, + journal = {Journal of the American Statistical Association}, + volume = {88}, + number = {424}, + pages = {1264-1272}, + year = {1993} +} + +@article{Hagan1994, + author = {Hagan, M.T. and Menhaj, M.B.}, + title = {Training Feedforward Networks with the {M}arquardt Algorithm}, + journal = {IEEE Trans. on Neural Networks}, + volume = {5}, + pages = {989-993}, + year = {1994} +} + +@article{Hall2005_simplex, + author = {Hall, J.}, + title = {Towards a practical parallelisation of the simplex method}, + journal = {Computational Management Science}, + volume = {submitted}, + year = {2005} +} + +@article{Hall1998_AOR, + author = {Hall, J. and McKinnon, K.}, + title = {ASYNPLEX, an asynchronous parallel revised simplex method algorithm}, + journal = {Annals of Operations Research}, + volume = {81}, + pages = {27-49}, + year = {1998} +} + +@article{Hall2001_AnnStat, + author = {Hall, P. and Huang, L.S.}, + title = {Nonparametric kernel regression subject to monotonicity constraints}, + journal = {Ann. Statist.}, + volume = {29}, + pages = {624–647}, + year = {2001} +} + +@article{Hampel1971, + author = {Hampel, F.R.}, + title = {A general qualitative definition of robustness}, + journal = {Annals of Math. Statistics}, + volume = {42}, + pages = {1887-1896}, + year = {1971} +} + +@article{Hampel1971, + author = {Hampel, F. R.}, + title = {A General Qualitative Definition of Robustness}, + journal = { Annals of Mathematical Statistics}, + volume = {42}, + pages = {1887-1896}, + year = {1971} +} + +@article{Han1997_SIAM, + author = {Han, L. and Schumaker, L.L.}, + title = {Fitting monotone surfaces to scattered data using C1 piecewise cubics}, + journal = {SIAM J. Numer. Anal.}, + volume = {34}, + pages = {569-585}, + year = {1997} +} + + author = {Han, Q. M. and Han, J. Y.}, + title = {Revised filled function methods for global optimization}, + journal = {Applied Mathematics and Computation}, + volume = {119}, + number = {2-3}, + pages = {217-228}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Han QM Nanjing Normal Univ, Sch Math and Comp Sci Nanjing 210097 Peoples R China Nanjing Normal Univ, Sch Math and Comp Sci Nanjing 210097 Peoples R China Chinese Acad Sci, Inst Appl Math Beijing 100080 Peoples R China 0009 Appl. Math. Comput}, + abstract = {This paper considers the unconstrained global optimization with the revised filled function methods. The minimization sequence could leave from a local minimizer to a better minimizer of the objective function through solving an unary equation or minimizing an auxiliary function constructed at the local minimizer. Some promising numerical results are also included. (C) 2001 Elsevier Science Inc. All rights reserved. [References: 11] 11}, + keywords = {Global minimizer. Local minimizer. The filled function method. +Variables. +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +2001 week 19}, + year = {2001} +} + +@book{Hansen1992_book, + author = {Hansen, Eldon R.}, + title = {Global optimization using interval analysis}, + publisher = {M. Dekker}, + address = {New York}, + note = {92019321 +Eldon Hansen. +Monographs and textbooks in pure and applied mathematics; 165. +Includes bibliographical references (p. 215-222) and indexes. +Monographs and textbooks in pure and applied mathematics 165.}, + keywords = {Mathematical optimization. +Interval analysis (Mathematics) +Nonlinear programming.}, + year = {1992} +} + +@incollection{Hansen1995_inbook, + author = {Hansen, P. and Jaumard, B.}, + title = {Lipschitz optimization}, + booktitle = {Handbook of global optimization}, + editor = {Horst, Reiner and Pardalos, P.}, + publisher = {Kluwer}, + address = {Dordrecht}, + pages = {407-493}, + year = {1995} +} + +@article{Hanson1982_acm, + author = {Hanson, R.J. and Haskell, K.H.}, + title = {Algorithm 587. Two algorithms for the linearly constrained least squares problem}, + journal = {ACM Trans. Math. Software}, + volume = {8}, + pages = {323-333}, + year = {1982} +} + + author = {Harding, S. T. and Floudas, C. A.}, + title = {Global Optimization in Multiproduct and Multipurpose Batch Design under Uncertainty}, + journal = {Industrial and Engineering Chemistry Research}, + volume = {36}, + number = {5}, + pages = {1644-1664}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA}, + abstract = {This paper addresses the design of multiproduct and multipurpose batch plants with uncertainty in both product demands and processing parameters. The uncertain demands may be described by any continuous/discrete probability distribution. Uncertain processing parameters are handled in a scenario-based approach. Through the relaxation of the feasibility requirement, the design problem with a fixed number of pieces of equipment per stage is formulated as a single large-scale nonconvex optimization problem. This problem is solved using a branch and bound technique in which a convex relaxation of the original nonconvex problem is solved to provide a lower bound on the global solution. Several different expressions for the tight convex lower bounding functions are proposed. Using these expressions, a tight lower bound on the global optimum solution can be obtained at each iteration. The alpha BB algorithm is subsequently employed to refine the upper and lower bounds and converge to the global solution. The tight lower bounds and the efficiency of the proposed approach is demonstrated in several example problems. These case studies correspond to large-scale global optimization problems with nonconvex constraints ranging in number from 25 to 3750, variables ranging from 30 to 15636 and nonconvex terms ranging from 50 to 15000. It is shown that such large-scale multiproduct and multipurpose batch design problems can be solved to global optimality with reasonable computational effort. [References: 23]}, + keywords = {Chemical-plants. Equipment sizes. Demands. +Chemical engineering.}, + year = {1997} +} + + author = {Harding, S. T. and Floudas, C. A.}, + title = {Locating all heterogeneous and reactive azeotropes in multicomponent mixtures}, + journal = {Industrial and Engineering Chemistry Research}, + volume = {39}, + number = {6}, + pages = {1576-1595}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Floudas CA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA 0007 Ind. Eng. Chem. Res}, + abstract = {A novel approach for enclosing all heterogeneous and reactive azeotropes in multicomponent mixtures is presented. The thermodynamic conditions for azeotropy form a system of nonlinear equations. A deterministic global optimization approach is introduced in which the global optimization problem may contain multiple global minima and there is a one-to-one correspondence between each global minimum and a potential azeotrope. An algorithm is presented which provides a theoretical guarantee that all global minima can be enclosed. This method is general and can be applied to multicomponent mixtures that are described by standard thermodynamic models. The problem formulations for finding all heterogeneous azeotropes and for finding all reactive azeotropes are presented. The effectiveness of the proposed approach is illustrated through several example problems using the Wilson, NRTL, UNIQUAC, and UNIFAC activity coefficient equations. [References: 26] 26}, + keywords = {Homogeneous azeotropes. Liquid-mixtures. Phase. Equilibria. Systems. +Chemical Engineering in Current Contents(R)/Engineering, Computing and +Technology. +2000 week 28 +Reprint available from: Floudas CA. Princeton Univ, Dept Chem Engn, +Princeton, NJ 08544, USA, .}, + year = {2000} +} + + author = {Harding, S. T. and Floudas, C. A.}, + title = {Phase stability with cubic equations of state: Global optimization approach}, + journal = {AICHE Journal}, + volume = {46}, + number = {7}, + pages = {1422-1440}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Floudas CA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA 0013 AICHE J}, + abstract = {Calculation of phase and chemical equilibria is of fundamental importance for the design and simulation of chemical processes. Methods of minimizing the Gibbs free energy provide equilibrium solutions that are candidates only for the true equilibrium solution, because the number and type of phases must be assumed before the Gibbs energy minimization problem can be formulated. The tangent plane stability criterion was used to determine the stability of a candidate equilibrium solution. The Gibbs energy minimization and tangent plane stability problems are challenging due to highly nonlinear thermodynamic functions. This work develops a global optimization approach for the tangent plane stability problem that provides a theoretical guarantee about the stability of the candidate equilibrium solution with computational efficiency. Cubic equations of state were used due to their ability to accurately predict the behavior of nonideal vapor and liquid phases across a broad range of pressures. The mathematical form of the stability problem was analyzed and nonlinear functions with special structure were identified to achieve faster convergence of the algorithm. This approach, when applied to the SRK, Peng-Robinson, and van der Waals cubic equations of state, could address a variety of mixing rules. Computational results on problems with two-eight components are presented. [References: 51] 51}, + keywords = {Differentiable constrained nlps. Thermodynamic energy analysis. +Critical-point calculations. Isothermal flash problem. Gibbs +free-energy. Alpha-bb. Multiphase equilibria. Liquid equilibria. +Interval-analysis. Computation. +Chemical Engineering in Current Contents(R)/Engineering, Computing and +Technology. +2000 week 34 +Reprint available from: Floudas CA. Princeton Univ, Dept Chem Engn, +Princeton, NJ 08544, USA, .}, + year = {2000} +} + + author = {Harding, S. T. and Maranas, C. D. and McDonald, C. M. and Floudas, C. A.}, + title = {Locating All Homogeneous Azeotropes in Multicomponent Mixtures}, + journal = {Industrial and Engineering Chemistry Research}, + volume = {36}, + number = {1}, + pages = {160-178}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA}, + abstract = {A novel approach for enclosing all homogeneous azeotropes in multicomponent mixtures is presented. The thermodynamic criteria for azeotropy are outlined, and mathematical equations for each criterion are developed. The global optimization approach is based on developing convex underestimators which are coupled with a branch and bound framework in which upper and lower bounds on the solution are refined by successively partitioning the target region into small disjoint rectangles. The objective of such an approach is to enclose all global minima since each global minimum corresponds to a homogeneous azeotrope. Because of the nature of the thermodynamic equations which describe the behavior of the liquid phase, the constraint equations are highly nonlinear and nonconvex. The success of this approach depends upon constructing valid convex lower bounds for each nonconvex function in the constraints. Four different thermodynamic models are studied, the Wilson, NRTL, UNIQUAC, and UNIFAC equations. Tight convex lower bounding functions are found for the nonconvex terms in each model. The unique element of the proposed approach is that it offers a theoretical guarantee of enclosing all homogeneous azeotropes. The effectiveness of the proposed approach is illustrated in several example problems. [References: 23]}, + keywords = {Vapor-liquid-equilibria. Unifac group contribution. Fluid mixtures. +Algorithm. Extension. Equation. Revision. +Chemical engineering.}, + year = {1997} +} + +@book{Hardy-52, + author = {Hardy, .H. and Littlewood, J.E. and Polya, G.}, + title = {Inequalities}, + publisher = {Cambridge University Press}, + address = {Cambridge }, + year = {1952} +} + + author = {Hartke, B.}, + title = {Global geometry optimization of molecular clusters: TIP4P water}, + journal = {Zeitschrift fur Physikalische Chemie}, + volume = {214}, + pages = {1251-1264}, + year = {2000} +} + + +@article{Haskell1981_mathprog, + author = {Haskell, K.H. and Hanson, R.}, + title = {An algorithm for linear least squares problems with equality and nonnegativity constraints}, + journal = {Math. Progr.}, + volume = {21}, + pages = {98-118}, + year = {1981} +} + +@book{Hassoun1995_book, + author = {Hassoun, M.H.}, + title = {Fundamentals of Artificial Neural Networks }, + publisher = {MIT Press}, + address = {Massachusetts}, + year = {1995} +} + +@book{Hastie2001_book, + author = {Hastie, T. and Tibshirani, R. and Friedman, J.}, + title = {The Elements of Statistical Learning}, + publisher = {Springer-Verlag}, + address = {New York, Berlin, Heidelberg}, + year = {2001} +} + + author = {Hathaway, R. J. and Bezdek, J. C.}, + title = {Nerf C-Means - Non-Euclidean Relational Fuzzy Clustering}, + journal = {Pattern Recognition}, + volume = {27}, + number = {3}, + pages = {429-437}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Bezdek JC GEORGIA SO UNIV DEPT MATH and COMP SCI STATESBORO, GA 30460 USA GEORGIA SO UNIV DEPT MATH and COMP SCI STATESBORO, GA 30460 USA UNIV W FLORIDA DEPT COMP SCI PENSACOLA, FL 32514 USA 0009}, + abstract = {The relational fuzzy c-means (RFCM) algorithm can be used to cluster a set of n objects described by pair-wise dissimilarity values if (and only if) there exist n points in R(n-1) whose squared Euclidean distances precisely match the given dissimilarity data. This strong restriction on the dissimilarity data renders RFCM inapplicable to most relational clustering problems. This paper substantially improves RFCM by generalizing it to the case of arbitrary (symmetric) dissimilarity data. The generalization is obtained using a computationally efficient modification of the existing algorithm that is equivalent to applying a ''spreading'' transformation to the dissimilarity data. While the method given applies specifically to dissimilarity data, a simple transformation can be used to convert similarity relations into dissimilarity data, so the method is applicable to any numerical relational data that are positive, reflexive (or anti-reflexive) and symmetric. Numerical examples illustrate and compare the present approach to problems that can be studied with alternatives such as the linkage algorithms. [References: 14] 14}, + keywords = {Cluster analysis. Dissimilarity measure. Fuzzy sets. Multidimensional +scaling. Non-euclidean data. Relational data. Relational fuzzy +c-means. +Algorithms. +Ai, robotics and automatic control. +Reprint available from: Bezdek JC. GEORGIA SO UNIV, DEPT MATH and COMP SCI, +STATESBORO, GA 30460, USA.}, + year = {1994} +} + + author = {Hatzimanikatis, V. and Floudas, C. A. and Bailey, J. E.}, + title = {Analysis and Design of Metabolic Reaction Networks Via Mixed-Integer Linear Optimization}, + journal = {AICHE Journal}, + volume = {42}, + number = {5}, + pages = {1277-1292}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Bailey JE ETH ZURICH INST BIOTECHNOL CH-8093 ZURICH SWITZERLAND ETH ZURICH INST BIOTECHNOL CH-8093 ZURICH SWITZERLAND CALTECH DEPT CHEM ENGN PASADENA, CA 92215 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0008}, + abstract = {Improvements in bioprocess performance can be achieved by genetic modifications of metabolic control structures. A novel optimization problem helps quantitative understanding and rational metabolic engineering of metabolic reaction pathways. Maximizing the performance of a metabolic reaction pathway is treated as a mixed-integer linear programming formulation to identify changes in regulatory structure and strength and in cellular content of pertinent enzymes which should be implemented to optimize a particular metabolic process. A regulatory superstructure proposed contains all alternative regulatory structures that can be considered for a given pathway. This is approach is followed. to find the optimal regulatory structure for maximization of phenylalanine selectivity in the microbial aromatic amino acid synthesis pathway. The solution suggests that from the eight feedback inhibitory loops in the original regulatory structure of this pathway, inactivation of at least three loops and over expression of three enzymes will increase phenylalanine selectivity by 42%. Moreover, novel regulatory structures with only two loops, none of which exists in the original pathway could result in a selectivity up to 95%. [References: 34] 34}, + keywords = {Mathematical-model. Enzymatic chains. Escherichia-coli. Pathways. +Growth. Dynamics. Systems. +Chemical engineering. +Reprint available from: Bailey JE. ETH ZURICH, INST BIOTECHNOL, CH-8093 +ZURICH, SWITZERLAND.}, + year = {1996} +} + + author = {Hatzimanikatis, V. and Floudas, C. A. and Bailey, J. E.}, + title = {Optimization of Regulatory Architectures in Metabolic Reaction Networks}, + journal = {Biotechnology and Bioengineering}, + volume = {52}, + number = {4}, + pages = {485-500}, + note = {Current Contents/Life Sciences Current Contents/Agriculture, Biology and Environmental Sciences. +Reprint available from: Bailey JE ETH ZURICH INST BIOTECHNOL CH-8093 ZURICH SWITZERLAND ETH ZURICH INST BIOTECHNOL CH-8093 ZURICH SWITZERLAND CALTECH DEPT CHEM ENGN PASADENA, CA USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0004}, + abstract = {Successful biotechnological applications, such as amino acid production, have demonstrated significant improvement in bioprocess performance by genetic modifications of metabolic control architectures and enzyme expression levels. However, the stoichiometric complexity of metabolic pathways, along with their strongly nonlinear nature and regulatory coupling, necessitates the use of structured kinetic models to direct experimental applications and aid in quantitative understanding of cellular bioprocesses. A novel optimization problem is introduced here, the objective of which is to identify changes in the regulatory characteristics of pertinent enzymes and in their cellular content which should be implemented to optimize a particular metabolic process. The mathematical representation of the metabolic reaction networks used is the S-system representation, which at steady state is characterized by linear equations. Exploiting the linearity of the representation, we formulated the optimization problem as a mixed-integer linear programming (MILP) problem. This formulation allows the consideration of a regulatory superstructure that contains all alternative regulatory structures that can be considered for a given pathway. The proposed approach is developed and illustrated using a simple linear pathway. Application of the framework on a complicated pathway-namely, the xanthine monophosphate (XMP) acid guanosine monophosphate (GMP) synthesis pathway-identified the modification of the regulatory architecture that, along with changes in enzyme expression levels, can increase the XMP and GMP concentration by over 114 times the reference value, which is 50 times more than could be achieved by changes in enzyme expression levels only. (C) 1996 John Wiley and Sons, Inc. [References: 40] 40}, + keywords = {Mathematical modeling. Metabolic reaction network. Xanthine +monophosphate synthesis. Guanosine monophosphate synthesis. +Biochemical systems analysis. Power-law approximation. +Mathematical-model. Enzymatic chains. Escherichia-coli. Pathways. +Growth. Representations. Dynamics. +Microbiology +Biotechnology and applied microbiology. +Reprint available from: Bailey JE. ETH ZURICH, INST BIOTECHNOL, CH-8093 +ZURICH, SWITZERLAND.}, + year = {1996} +} + + author = {Havel, H.A.}, + title = {Spectroscopic Methods for Determining Protein Structure in Solution}, + publisher = {Wiley}, + abstract = {This book is concerned with applications of spectroscopic methods to determine protein structure in solution. The methods which are covered include virtually every method which involves the interaction of electromagnetic radiation with proteins in solution and the chapters are written by acknowledged experts from industry and academic institutions. The reader will be able to use this book to decide which spectroscopic techniques will be applicable to the problem he is faced with and be referred to the primary literature which should be most helpful.}, + year = {1995} +} + + author = {Havel, T.F.}, + title = {An evaluation of computational strategies for use in the determination of protein structure from distance constraints obtained by nuclear magnetic resonance}, + journal = {Prog. Biophys. Mol. Biol.}, + volume = {56}, + pages = {43-78}, + keywords = {journal +nuclear magnetic resonance (NMR) +distance geometry +protein +molecular conformation +molecular structure}, + year = {1991} +} + + author = {Havel, T.F. and Kuntz, I.D. and Crippen, G.M.}, + title = {The effect of distance constraints on macromolecular conformation. II. Simulation of experimental results and theoretical predictions}, + journal = {Biopolymers}, + volume = {18}, + pages = {73-82}, + keywords = {distance geometry +protein +molecular conformation +molecular structure}, + year = {1979} +} + +@article{Hawkins1993_CSDA, + author = {Hawkins, D. M.}, + title = {The Feasible Set Algorithm for Least Median of Squares Regression}, + journal = {Computational Statistics and Data Analysis}, + volume = {16}, + pages = {81-101}, + year = {1993} +} + +@article{Hawkins1984, + author = {Hawkins, D.M. and Bradu, D. and Kass, G.V.}, + title = {Location of Several Outliers in Multiple-Regression Data Using Elemental Sets}, + journal = {Technometrics}, + volume = {26}, + number = {3}, + pages = {197-208}, + year = {1984} +} + +@article{Hawkins1984_Tech, + author = {Hawkins, D. M. and Bradu, D. and Kass, V.}, + title = {Location of several outliers in multiple-regression data using elemental sets}, + journal = {Technometrics}, + volume = {26}, + pages = {197-208}, + year = {1984} +} + + author = {Hawkins, D.M. and McLachlan, G.J. }, + title = {High-breakdown linear discriminant analysis}, + journal = {J. Amer. Statist. Assoc}, + volume = {92}, + pages = {136-143}, + year = {1997} +} + +@article{Hawkins1999_CSDA, + author = {Hawkins, D. M. and Olive, D. J.}, + title = {Applications and Algorithms for Least Trimmed Sum of Absolute Deviations Regression}, + journal = {Computational Statistics and Data Analysis}, + volume = {32}, + pages = {119-134}, + year = {1999} +} + +@article{Hawkins1999_CSDA1, + author = {Hawkins, D. M. and Olive, D. J.}, + title = {Improved Feasible Solution Algorithms for High Breakdown Estimation}, + journal = {Computational Statistics and Data Analysis}, + volume = {30}, + pages = {1-11}, + year = {1999} +} + +@article{Hawkins2003_JASA, + author = {Hawkins, D. M. and Olive, D. J.}, + title = {Inconsistency of Resampling Algorithms for High-Breakdown Regression Estimators and a New Algorithm}, + journal = {J. Amer. Statist. Assoc}, + volume = {97}, + pages = {136-148}, + year = {2002} +} + +@article{Hawkins1993_AS, + author = {Hawkins, D. M. and Simonoff, J.S.}, + title = {High breakdown regression and multivariate estimation}, + journal = {Applied Statistics}, + volume = {42}, + pages = {423-432}, + year = {1993} +} + + author = {He, Suyan and Jiang, Yuxi and Pan, Shaohua}, + title = {An entropy regularization technique for minimizing a sum of Tchebycheff norms}, + journal = {Applied Numerical Mathematics}, + volume = {60}, + number = {3}, + pages = {208-223}, + note = {doi: DOI: 10.1016/j.apnum.2009.11.005}, + keywords = {Sum of Tchebycheff norms +Entropy regularization +Smoothing method +Primal-dual trajectory +Quadratic convergence}, + +} + + author = {He, X. and Shi, P.}, + title = {Monotone B-spline smoothing}, + journal = {J. Am. Stat. Ass.}, + volume = {93}, + pages = {643-650}, + year = {1998} +} + +@techreport{Hearne1998_TR, + author = {Hearne, L.B. and Wegman, E.J.}, + title = {Multivariate Nonparametric Density Estimation using Random Linear Tessellations}, + institution = {Centre for Comput. Statist., George Mason University}, + number = {144}, + year = {1998} +} + + author = {Hedlund, Peter and Gustavsson, Anders}, + title = {Design and evaluation of and effective modified simplex method}, + journal = {Analytica Chimica Acta}, + volume = {391}, + pages = {257-267}, + note = {Preventing the simplex from degeneracy (repeated failed contractions) is importat for the convergence of the simplex.}, + abstract = {Different modification concerning the efficiency and the convergence ability of the modified simplex method were evaluated for four test functions. The evaulations showed that both the efficiency and the convergence ability of the simplex method will probably be enhanced by implementing a degeneracy constraint. [References: 9]}, + keywords = {optimisation; simplex}, + year = {1999} +} + + author = {Hemmi, H. and Yoshida, T. and Kumazaki, T. and Nemoto, N. and Hasegawa, J. and Nishioka, F. and Kyogoku, Y. and Yokosawa, H. and Kobayashi, Y.}, + title = {Solution structure of ascidian trypsin inhibitor determined by nuclear magnetic resonance spectroscopy}, + journal = {Biochemistry}, + volume = {41}, + number = {34}, + pages = {10657-10664}, + abstract = {The three-dimensional solution structure of ascidian trypsin inhibitor (ATI), a 55 amino acid residue protein with four disulfide bridges, was determined by means of two-dimensional nuclear magnetic resonance (2D NMR) spectroscopy. The resulting structure of ATI was characterized by an alpha-helical conformation in residues 35-42 and a three-stranded antiparallel beta-sheet in residues 22-26, 29-32, and 48-50. The presence of an alpha-helical conformation was predicted from the consensus sequences of the cystine-stabilized alpha-helical (CSH) motif, which is characterized by an alpha-helix structure in the Cys-X-1-X-2-X-3-Cys portion (corresponding to residues 37-41), linking to the Cys-X-Cys portion (corresponding to residues 12-14) folded in an extended structure. The secondary structure and the overall folding of the main chain of ATI were very similar to those of the Kazal-type inhibitors, such as Japanese quail ovomucoid third domain (OMJPQ3) and leech-derived tryptase inhibitor form C (LDTI-C), although ATI does not show extensive sequence homology to these inhibitors except for a few amino acid residues and six of eight half-cystines. On the basis of these findings, we realign the amino acid sequences of representative Kazal-type inhibitors including ATI and discuss the unique structure of ATI with four disulfide bridges.}, + keywords = {Kazal-type inhibitor +stable proteinase-inhibitor +elastase-specific inhibitor +spin coupling-constants +amino-acid sequence +mast-cell tryptase +distance geometry +crystal-structure +crystallographic refinement +3-dimensional structure +nuclear magnetic resonance (NMR) +molecular structure +amino acid}, + year = {2002} +} + +@article{Hennig2004_AS, + author = {Hennig, C.}, + title = {Breakdown points for maximum likelihood estimators of locationscale mixtures}, + journal = {Annals of Statistics}, + volume = {32}, + pages = {1313-1340}, + year = {2004} +} + +@article{Herrera1997_TSMS, + author = {Herrera, F. and Herrera-Viedma, E.}, + title = {Aggregation Operators for Linguistic Weighted Information}, + journal = {IEEE Trans. on Syst., Man, and Cybernetics}, + volume = {27}, + pages = {646-656}, + year = {1997} +} + +@article{Herrera2000_FSS, + author = {Herrera, F. and Herrera-Viedma, E.}, + title = {Linguistic decision analysis: {S}teps for solving decision problems under linguistic information}, + journal = {Fuzzy Sets and Systems}, + volume = {115}, + pages = {67-82}, + year = {2000} +} + +@article{Herrera2003_IJIS, + author = {Herrera, F. and Herrera-Viedma, E. and Chiclana, F.}, + title = {A Study of the Origin and Uses of the {O}rdered {W}eighted {G}eometric Operator in Multicriteria Decision Making}, + journal = {Int. J. Intelligent Systems}, + volume = {18}, + pages = {689-707}, + year = {2003} +} + +@article{Herrera1996_FSS, + author = {Herrera, F. and Herrera-Viedma, E. and Verdegay, J. L.}, + title = {Direct approach processes in group decision making using linguistic {OWA} operators}, + journal = {Fuzzy Sets and Systems}, + volume = {79}, + pages = {175?190}, + year = {1996} +} + +@article{Herrera1998_FSS, + author = {Herrera, F. and Herrera-Viedma, E. and Verdegay, J. L.}, + title = {Choice processes for non-homogeneous group decision making in linguistic setting}, + journal = {Fuzzy Sets and Systems}, + volume = {94}, + pages = {287-308}, + year = {1998} +} + + author = {Hertz, D. and Adjiman, C. S. and Floudas, C. A.}, + title = {Two results on bounding the roots of interval polynomials}, + journal = {Computers and Chemical Engineering}, + volume = {23}, + number = {9}, + pages = {1333-1339}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Floudas CA Princeton Univ, Sch Engn and Appl Sci, Dept Chem Engn, Engn Quadrangle Princeton, NJ 08544 USA Princeton Univ, Sch Engn and Appl Sci, Dept Chem Engn, Engn Quadrangle Princeton, NJ 08544 USA RAFAEL, Dept 82 IL-31021 Haifa Israel Univ London Imperial Coll Sci Technol and Med, Ctr Proc Syst Engn London SW6 2BY England 0016 Comput. Chem. Eng}, + abstract = {The problem of bounding the zeros of a polynomial of degree n greater than or equal to 2 with real or complex coefficients, is considered and an improved Cauchy bound is proposed. This new bound is applied to two examples and compared with existing approaches. The methodology is then extended to the case of polynomials of degree n greater than or equal to 2 with interval Coefficients. A counter-example to theorem 3.8 in Adjiman, Androulakis, Maranas and Floudas (1996), used in the alpha BB algorithm to compute a tight lower bound on the minimum real part of the zeros of an interval polynomial is also presented. An alternative approach that uses the improved Cauchy bound as a starting point is developed. (C) 1999 Elsevier Science Ltd. All rights reserved. [References: 13] 13}, + keywords = {Bounding. Roots. Interval polynomials. Cauchy bound. +Global optimization method. Differentiable constrained nlps. Alpha-bb. +Zeros. +Chemical Engineering in Current Contents(R)/Engineering, Computing and +Technology. +2000 week 02 +Reprint available from: Floudas CA. Princeton Univ, Sch Engn and Appl Sci, +Dept Chem Engn, Engn Quadrangle, Princeton, NJ 08544, USA, .}, + year = {1999} +} + + author = {Hill, J.-R. and Freeman, C.M. and Subramanian, L.}, + title = {Use of force fields in materials modeling}, + booktitle = {Reviews in Computational Chemistry}, + editor = {Lipkowitz, K.B. and Boyd, D.B.}, + publisher = {Wiley-VCH}, + address = {New York}, + volume = {16}, + pages = {141-216}, + keywords = {potential energy surface (PES) +molecular dynamics (MD) +molecular mechanics (MM) +molecular modelling +standard review}, + year = {2000} +} + +@inproceedings{Hinneburg1998_KDD, + author = {Hinneburg, A. and Keim, D.A.}, + title = {An efficient approach to clustering in large multimedia databases with noise}, + booktitle = {Knowledge Discovery and Data Mining}, + address = {New York}, + pages = {58-65}, + year = {1998} +} + +@misc{Thrust, + author = {Hoberock, J. and Bell, N.}, + title = {Thrust, http://thrust.github.com/ Last accessed July 31, 2012}, + volume = {Last accessed July 31, 2012}, + year = {2012} +} + + author = {Hock, J.C. and Stern, A.S.}, + title = {A method for determining overall protein folding from NMR distance restraints}, + journal = {Journal of Biomolecular NMR}, + volume = {2}, + pages = {535-543}, + keywords = {nuclear magnetic resonance (NMR) +NOESY spectra +nuclear Overhauser effect (NOE) +molecular structure +distance geometry +protein}, + year = {1992} +} + + author = {Hodrokoukes, P. and Floudas, G. and Pispas, S. and Hadjichristidis, N.}, + title = {Microphase separation in normal and inverse tapered block copolymers of polystyrene and polyisoprene. 1. Phase state}, + journal = {Macromolecules}, + volume = {34}, + number = {3}, + pages = {650-657}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Hadjichristidis N Univ Athens, Dept Chem Athens 15771 Greece Univ Athens, Dept Chem Athens 15771 Greece Inst Elect Struct and Laser, Fdn Res and Technol Hellas Heraklion 71110 Crete Greece 0045 Macromolecules}, + abstract = {We have investigated the influence of composition gradients on the microdomain structure and viscoelastic properties of tapered block copolymers by (i) varying the amount of interfacial material and (ii) the block sequence. Normal tapered and inverse tapered triblock copolymers of polystyrene and polyisoperne with a tapered midblock have been synthesized via anionic polymerization with a nearly symmetric composition and compared with the corresponding diblock copolymers. We found that increasing the amount of tapered material within the interface systematically increases the compatibility. Block sequencing is found to be an important factor controlling compatibility. Inverse tapered block copolymers are much more compatible than the corresponding normal tapered block copolymers. Results presented here could be used as a guideline for preparing copolymers with controlled compatibility at the synthesis level. [References: 28] 28}, + keywords = {Order-disorder transition. Polymers. Simulation. Kinetics. Styrene. +Blends. Graft. +Organic Chemistry/Polymer Science in Current Contents(R)/Physical, +Chemical and Earth Sciences. +2001 week 08}, + year = {2001} +} + +@article{Hofmann2010_JCGS, + author = {Hofmann, M. and Gatu, C. and Kontoghiorghes, E.J.}, + title = {An Exact Least Trimmed Squares Algorithm for a Range of Coverage Values}, + journal = {Journal of Computational and Graphical Statistics}, + volume = {19}, + number = {1}, + pages = {191-204}, + year = {2010} +} + + author = {Holaday, S.K., Jr. and Martin, B.M. and Fletcher, P.L., Jr. and Krishna, N.R.}, + title = {NMR solution structure of butantoxin}, + journal = {Archives of Biochemistry and Biophysics}, + volume = {379}, + number = {1}, + pages = {18-27}, + keywords = {journal +nuclear magnetic resonance (NMR) +nuclear Overhauser effect (NOE) +COSY}, + year = {2000} +} + +@article{Holladay1957, + author = {Holladay, J. C.}, + title = {A Smoothest Curve Approximation}, + journal = {Mathematical Tables and Other Aids to Computation}, + volume = {11}, + number = {60}, + pages = {233-243}, + year = {1957} +} + + author = {Höltje, H-D. and Sippl, W. and Rognan, D. and Folkers, G.}, + title = {Molecular Modeling: Basic Principles and Applications}, + publisher = {Wiley-VCH}, + address = {Weinheim}, + year = {2005} +} + + author = {Holzgrabe, U. and Wawer, I. and Diehl, B.}, + title = {NMR Spectroscopy in Drug Development and Analysis}, + publisher = {Wiley-VCH}, + address = {Weinheim}, + year = {1999} +} + + author = {Hopkins, R. E.}, + title = {Global Optimization - Is It a Misnomer}, + journal = {Optical Engineering}, + volume = {32}, + number = {8}, + pages = {1721}, + note = {Current Contents/Physical, Chemical and Earth Sciences Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Hopkins RE 2001 S CLINTON AVE ROCHESTER, NY 14618 USA 0002}, + abstract = {Practical solutions for most optical system designs require small third-order aberrations. True global optimization requires repeated searches based on experience. Ready acceptance of a final solution can lead to problems.}, + keywords = {Lens design. Global optimization. +Applied physics/condensed matter +Optics and acoustics. +Reprint available from: Hopkins RE. 2001 S CLINTON AVE, ROCHESTER, NY +14618, USA.}, + year = {1993} +} + +@article{Hormann1995_ACM, + author = {Hormann, W.}, + title = {A rejection technique for sampling from T-concave distributions}, + journal = {ACM Transactions on Mathematical Software}, + volume = {21}, + pages = {182-193}, + year = {1995} +} + + author = {Hornik, Kurt and Stinchcombe, Maxwell and White, Halbert}, + title = {Multilayer feedforward networks are universal approximators}, + journal = {Neural Networks}, + volume = {2}, + number = {5}, + pages = {359-366}, + note = {doi: 10.1016/0893-6080(89)90020-8}, + keywords = {Feedforward networks +Universal approximation +Mapping networks +Network representation capability +Stone-Weierstrass Theorem +Squashing functions +Sigma-Pi networks +Back-propagation networks}, + year = {1989} +} + +@article{Hornung1980, + author = {Hornung, U.}, + title = {Interpolation by smooth functions under restrictions on the derivatives}, + journal = {J. Approx. Theory}, + volume = {28}, + pages = {227-237}, + year = {1980} +} + +@book{Horst2000_book, + author = {Horst, R. and Pardalos, P. and Thoai, N.V.}, + title = {Introduction to Global Optimization}, + publisher = {Kluwer Academic Publishers}, + address = {Dordrecht}, + volume = {48}, + edition = {2nd}, + series = {Nonconvex Optimization and its Applications}, + abstract = {Most of the existing books on optimization focus on the problem of computing locally optimal solutions. Global optimization is concerned with the computation and characterization of global optima of nonlinear functions. Global optimization problems are widespread in the mathematical modeling of real world systems for a very broad range of applications. During the past three decades many new theoretical, algorithmic, and computational contributions have helped to solve globally multi-extreme problems arising from important practical applications. Introduction to Global Optimization is the first comprehensive textbook that covers the fundamentals in global optimization. The second edition includes algorithms, applications, and complexity results for quadratic programming, concave minimization, DC and Lipshitz problems, decomposition algorithms for nonconvex optimization, and nonlinear network flow problems. Each chapter contains illustrative examples and ends with carefully selected exercises, which are designed to help the student to get a grasp of the material and enhance their knowledge of global optimization methods. Audience: This textbook is addressed not only to students of mathematical programming, but to all scientists in various disciplines who need global optimization methods to model and solve problems.}, + year = {2000} +} + +@book{Horst1995_book, + author = {Horst, R. and Pardalos, P. M.}, + title = {Handbook of Global Optimization}, + publisher = {Kluwer Academic Publishers}, + address = {Dordrecht; Boston}, + series = {Nonconvex Optimization and its Applications}, + keywords = {Mathematical optimization. +Nonlinear programming.}, + year = {1995} +} + +@book{Horst1990_book, + author = {Horst, Reiner and Tuy, Hoang}, + title = {Global optimization: deterministic approaches}, + publisher = {Springer-Verlag}, + address = {Berlin; New York}, + note = {90009559 +Reiner Horst, Hoang Tuy. +Includes bibliographical references (p. [657]-688)}, + keywords = {Mathematical optimization. +Nonlinear programming.}, + year = {1990} +} + +@book{Horst1993_book, + author = {Horst, R. and Tuy, H.}, + title = {Global optimization: deterministic approaches}, + publisher = {Springer-Verlag}, + address = {Berlin; New York}, + edition = {2nd rev.}, + keywords = {Mathematical optimization. +Nonlinear programming.}, + year = {1993} +} + + author = {Huang, H.X. and Liang, Z.A. and Pardalos, P.M.}, + title = {Some properties for the Euclidean distance matrix and positive semidefinite matrix completion problems}, + journal = {Journal of Global Optimization}, + volume = {25}, + number = {1}, + pages = {3-21}, + abstract = {The Euclidean distance matrix (EDM) completion problem and the positive semidefinite (PSD) matrix completion problem are considered in this paper. Approaches to determine the location of a point in a linear manifold are studied, which are based on a referential coordinate set and a distance vector whose components indicate the distances from the point to other points in the set. For a given referential coordinate set and a corresponding distance vector, sufficient and necessary conditions are presented for the existence of such a point that the distance vector can be realized. The location of the point (if it exists) given by the approaches in a linear manifold is independent of the coordinate system, and is only related to the referential coordinate set and the corresponding distance vector. An interesting phenomenon about the complexity of the EDM completion problem is described. Some properties about the uniqueness and the rigidity of the conformation for solutions to the EDM and PSD completion problems are presented.}, + keywords = {global optimization +Euclidean distance geometry problem +Euclidean distance matrix (edm) completion +positive semidefinite (psd) matrix completion problem +partial edm (psd) matrix +linear manifold +referential coordinate set +complexity +unique conformation +rigid conformation +geometry optimization +molecular structure +conformation +conformational analysis}, + year = {2003} +} + + author = {Huang, L. and Zhu, W. and Saunders, C.P. and J.N., MacLeod. and Zhou, M. and Stromberg, A. and Bathke, A.C.}, + title = {A novel application of quantile regression for identification of biomarkers exemplified by equine cartilage microarray data}, + journal = {BMC Bioinformatics}, + volume = {9}, + pages = {300-308}, + year = {2008} +} + +@book{Huber1991_book, + author = {Huber, P.J.}, + title = {Robust Statistics}, + publisher = {Wiley}, + address = {New York}, + year = {2003} +} + +@article{Hubert2009, + author = {Hubert, M. and Debruyne, M.}, + title = {Breakdown value}, + journal = {WIREs Computational Statistics}, + volume = {1}, + pages = {296-302}, + abstract = {The breakdown value is a popular measure of the robustness of an estimator +against outlying observations. Roughly speaking, it indicates the smallest fraction +of contaminants in a sample that causes the estimator to break down, that is, to +take on values that are arbitrarily bad or meaningless. In this paper, we recall the +definition of the finite sample as well as the asymptotic breakdown value of an +estimator, and we give several examples of well-known estimators for location, +scatter, and regression.We discuss the maximal attainable breakdown values and +give an overview of high-breakdown estimators that attain this maximal bound. +Finally, we refer to some issues in more complex models . ? 2009 John Wiley & Sons, +Inc. WIREs Comp Stat 2009 1 296–302}, + year = {2009} +} + +@article{Hubert2002_comment, + author = {Hubert, M. and Rousseeuw, P.J. and Van Aelst, S.}, + title = {Comment: Inconsistency of Resampling Algorithms for High-Breakdown Regression Estimators and a New Algorithm}, + journal = {J. of American Statistical Association}, + volume = {97}, + pages = {151-153}, + year = {2002} +} + +@article{Huber2008_SS, + author = {Hubert, M. and Rousseeuw, P.J. and Van Aelst, S.}, + title = {High-Breakdown Robust Multivariate Methods}, + journal = {Statist. Sci. }, + volume = {23}, + pages = {92-119}, + year = {2008} +} + +@article{Hubert2008, + author = {Hubert, M. and Rousseeuw, P.J. and Van Aelst, S.}, + title = {High-Breakdown Robust Multivariate Methods}, + journal = {Statistical Science}, + volume = {23}, + number = {1}, + pages = {92-119}, + year = {2008} +} + +@article{Hughes1975_nature, + author = {Hughes, J.M. and Smith, T.W. and Kosterlitz, H.W. and Fothergill, L.A. and Morgan, B.A. and Morris, H.R.}, + title = {Identification of two related pentapeptides from the brain with potent opiate agonist activity}, + journal = {Nature}, + volume = {258}, + pages = {577-580}, + year = {1975} +} + +@article{HutHoog1985, + author = {Hutchinson, M.F. and Hoog, F.R. de}, + title = {Smoothing noisy data with spline functions}, + journal = {Numer.Math}, + volume = {47}, + pages = {99-106}, + year = {1985} +} + +@article{Hutchison1994_JF, + author = {Hutchison, J.M. and Lo, A.W. and Poggio, T.}, + title = {A nonparametric approach to pricing and hedging derivative securities via learning networks}, + journal = {J. of Finance}, + volume = {49}, + pages = {851-889}, + year = {1994} +} + + author = {Huyer, W. and Neumaier, A.}, + title = {Global optimization by multilevel coordinate search}, + journal = {Journal of Global Optimization}, + volume = {14}, + number = {4}, + pages = {331-355}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Huyer W Univ Vienna, Inst Math Strudlhofgasse 4 A-1090 Vienna Austria Univ Vienna, Inst Math A-1090 Vienna Austria 0001 J. Glob. Optim}, + abstract = {Inspired by a method by Jones et al. (1993), we present a global optimization algorithm based on multilevel coordinate search. It is guaranteed to converge if the function is continuous in the neighborhood of a global minimizer. By starting a local search from certain good points, an improved convergence result is obtained. We discuss implementation details and give some numerical results. [References: 30] 30}, + keywords = {Global optimization. Bound constraints. Local optimization. Coordinate +search. +Algorithm. Minimization. Selection. +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +1999 week 35 +Reprint available from: Huyer W. Univ Vienna, Inst Math, Strudlhofgasse +4, A-1090 Vienna, Austria.}, + year = {1999} +} + +@book{Hwang1987_book, + author = {Hwang, C.-L. and Lin, M.J.}, + title = {Group Decision Making under Multiple Criteria}, + publisher = {Springer}, + address = {Berlin}, + year = {1987} +} + +@book{Hwang1979_book, + author = {Hwang, C.-L. and Masud, A.S.M.}, + title = {Multiple Objective Decitions Making -- Methods and Applications}, + publisher = {Springer}, + address = {Heidelberg}, + year = {1979} +} + +@book{Hwang1981_book, + author = {Hwang, C.-L. and Yoon, K.}, + title = {Multiple Attribute Decision Making. Methods and Applications}, + publisher = {Springer}, + address = {Heidelberg}, + year = {1981} +} + + author = {Ierapetritou, M. G. and Floudas, C. A.}, + title = {Effective Continuous-Time Formulation for Short-Term Scheduling - 1 - Multipurpose Batch Processes}, + journal = {Industrial and Engineering Chemistry Research}, + volume = {37}, + number = {11}, + pages = {4341-4359}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA}, + abstract = {During the last decade, the problem of production scheduling has been realized to be one of the most important problems in industrial plant operations especially when multipurpose/multiproduct batch processes are involved. This paper presents a novel mathematical formulation for the short-term scheduling of batch plants. The proposed formulation is based on a continuous time representation and results in a mixed integer linear programming (MILP) problem. The novel elements of the proposed formulation are (i) the decoupling of the task events from the unit events, (ii) the time sequencing constraints, and (iii) its linearity. In contrast to the previously presented continuous-time scheduling formulations, the proposed approach leads to smaller and simpler mathematical models which exhibit fewer binary and continuous variables, have smaller integrality gaps, require fewer constraints, need fewer linear programming relaxations, and can be solved in significantly less CPU time. Several examples are presented that illustrate the effectiveness of the proposed formulation, and comparisons with other approaches are provided. [References: 14]}, + keywords = {Parallel semicontinuous processes. General algorithm. Operations. +Plants. +Chemical engineering.}, + year = {1998} +} + + author = {Ierapetritou, M. G. and Floudas, C. A.}, + title = {Effective Continuous-Time Formulation for Short-Term Scheduling - 2 - Continuous and Semicontinuous Processes}, + journal = {Industrial and Engineering Chemistry Research}, + volume = {37}, + number = {11}, + pages = {4360-4374}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA}, + abstract = {Part 1 presented a novel continuous-time mathematical formulation for the short-term scheduling of batch processes. Most production networks, however, involve batch and continuous processes. On the basis of the same principles, this paper extends the proposed formulation to describe continuous processes. Two industrial case studies from fast moving consumer goods manufacturing are presented to illustrate the capability of the proposed formulation to describe plants with both batch and continuous processes, to incorporate cleanup requirements, and to consider storage requirements and limitations. It is demonstrated that the proposed approach outperforms all previously proposed continuous-time models for the short-term scheduling of continuous processes. [References: 12]}, + keywords = {Plants. +Chemical engineering.}, + year = {1998} +} + + author = {Ierapetritou, M. G. and Floudas, C. A.}, + title = {Short-Term Scheduling - New Mathematical Models Vs Algorithmic Improvements}, + journal = {Computers and Chemical Engineering}, + volume = {22}, + number = {Suppl S}, + pages = {S 419-S 426}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA}, + abstract = {In this paper, a novel formulation is presented for the short-term scheduling of batch plants. The proposed formulation is based on a continuous time representation and results in a Mixed Integer Linear Programming (MILP) problem. In contrast to the previously published continuous-time scheduling formulations, the proposed approach leads to smaller and simpler mathematical models which exhibit fewer binary and continuous variables, have smaller integrality gaps, require fewer constraints, need fewer linear programming relaxations, and can be solved in significantly less CPU time. Several examples are presented that illustrate the effectiveness of the proposed formulation and comparisons with other approaches are provided. (C) 1998 Elsevier Science Ltd. All rights reserved. [References: 12]}, + keywords = {General algorithm. Batch-operations. Plants. +Chemical engineering.}, + year = {1998} +} + + author = {Ierapetritou, M. G. and Floudas, C. A. and Vasantharajan, S. and Cullick, A. S.}, + title = {Optimal location of vertical wells: Decomposition approach}, + journal = {AICHE Journal}, + volume = {45}, + number = {4}, + pages = {844-859}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Floudas CA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Mobil Technol Co, Strateg Res Ctr Dallas, TX 75244 USA 0014 AICHE J}, + abstract = {The generation of a reservoir development plan with well locations, give a reservoir property map and a set of infrastructure constraints, represents a very challenging problem. The problem of selecting the optimal vertical well locations was formulated with 3-D information as a MILP problem where the binary variables correspond to the decisions of well locations and vertical well completions. A novel decomposition-based solution procedure is proposed to address real fields characterized by 60,000 grid points. The approach is based on the ideas of refining the feasible set of candidate well locations by applying quality cut constraints. For the solution of the subproblems required at each iteration, a model reformulation was then suggested that enables the efficient determination of the optimal well locations. Two industrial case studies are considered to illustrate the applicability of the proposed procedure to realistic large-scale problems. [References: 10] 10}, + keywords = {Chemical Engineering in Current Contents(R)/Engineering, Computing and +Technology. +1999 week 19 +Reprint available from: Floudas CA. Princeton Univ, Dept Chem Engn, +Princeton, NJ 08544, USA, .}, + year = {1999} +} + + author = {Ierapetritou, M. G. and Hene, T. S. and Floudas, C. A.}, + title = {Effective continuous-time formulation for short-term scheduling. 3. Multiple intermediate due dates}, + journal = {Industrial and Engineering Chemistry Research}, + volume = {38}, + number = {9}, + pages = {3446-3461}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Floudas CA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA 0033 Ind. Eng. Chem. Res}, + abstract = {The problem of short-term scheduling often involves the satisfaction of variable product demands at specific due dates within the time horizon under consideration. Ierapetritou and Floudas (Ind. Eng. Chem. Res. 1998, 37, 4341-4359, 4360-4374) presented a new continuous time formulation to effectively address the problem of short-term scheduling in batch, continuous, and mixed production facilities where product demands are specified at the end of the time horizon. The primary objective of this paper is to extend the continuous-time formulation so as to deal with intermediate due dates. The mathematical model is developed and the operation mode of the plant (batch or semicontinuous) is further exploited to result in the most efficient solution strategy. Several examples are provided to illustrate the capabilities of the proposed continuous-time formulations, and it is demonstrated that a variety of problems presented in the literature can be addressed efficiently. [References: 7] 7}, + keywords = {Semicontinuous processes. +Chemical Engineering in Current Contents(R)/Engineering, Computing and +Technology. +1999 week 40 +Reprint available from: Floudas CA. Princeton Univ, Dept Chem Engn, +Princeton, NJ 08544, USA, .}, + year = {1999} +} + + author = {Ierapetritou, M. G. and Pistikopoulos, E. N. and Floudas, C. A.}, + title = {Operational Planning under Uncertainty}, + journal = {Computers and Chemical Engineering}, + volume = {18}, + number = {Suppl S}, + pages = {S 553-S 557}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Pistikopoulos EN IMPERIAL COLL SCI TECHNOL and MED DEPT CHEM ENGN CTR PROC SYST ENGN LONDON SW7 2BY ENGLAND IMPERIAL COLL SCI TECHNOL and MED DEPT CHEM ENGN CTR PROC SYST ENGN LONDON SW7 2BY ENGLAND 0090}, + abstract = {This paper presents a novel approach for the incorporation of future plan feasibility and potential economic risk in planning problems under uncertainty. It is based on the concepts of plan flexibility and regret as measures of the impact of uncertainty on the future plan operation and economics. For two-period linear planning models, analytical expressions of flexibility and regret as functions of the uncertain parameters are obtained with which an optimal plan can be determined that maximizes an expected profit while ensuring operability and monitoring financial risk. An important feature of this new planning framework is that, in contrast to previous approaches, it neither requires discretization of the uncertainty nor is centered on worst-case considerations. An example is presented to illustrate the steps of the algorithmic procedure. [References: 16] 16}, + keywords = {Planning. Uncertainty. Flexibility. Regret. Economic risk. +Decision flexibility. Design. +Chemical. +Reprint available from: Pistikopoulos EN. IMPERIAL COLL SCI TECHNOL and +MED, DEPT CHEM ENGN, CTR PROC SYST ENGN, LONDON SW7 2BY.}, + year = {1994} +} + + author = {Ierapetritou, M. G. and Pistikopoulos, E. N. and Floudas, C. A.}, + title = {Operational Planning under Uncertainty}, + journal = {Computers and Chemical Engineering}, + volume = {20}, + number = {12}, + pages = {1499-1516}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Pistikopoulos EN UNIV LONDON IMPERIAL COLL SCI TECHNOL and MED DEPT CHEM ENGN and CHEM TECHNOL CTR PROC SYST ENGN LONDON SW7 2BY ENGLAND UNIV LONDON IMPERIAL COLL SCI TECHNOL and MED DEPT CHEM ENGN and CHEM TECHNOL CTR PROC SYST ENGN LONDON SW7 2BY ENGLAND PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0011}, + abstract = {This paper is concerned with the problem of operational and production planning under varying conditions and changing economic circumstances. The effect of uncertainty on future plant operation is investigated via the incorporation of explicit future plan feasibility constraints into a two-stage stochastic programming formulation with an objective to maximize an expected profit over a time horizon, and the use of the Value of Perfect Information, VPI. This value, which is described as the difference between two alternative behavioural models of actions under uncertainty, the here-and-now and the wait-and-see models, is especially useful when a decision must be made in the face of uncertainty whether to expand capacities and/or to introduce new technologies. The importance of obtaining this information at the decision stage and properly integrating it with plan feasibility aspects is illustrated with a number of example problems. Copyright (C) 1996 Elsevier Science Ltd [References: 26] 26}, + keywords = {Capacity expansion. Flexibility. Optimization. Recourse. +Decomposition. Programs. Bounds. Models. Design. +Chemical engineering. +Reprint available from: Pistikopoulos EN. UNIV LONDON IMPERIAL COLL SCI +TECHNOL and MED, DEPT CHEM ENGN and CHEM TECHNOL, CTR PROC SYST ENGN, LONDON +SW7 2BY.}, + year = {1996} +} + +@techreport{Indiveri2008, + author = {Indiveri, G.}, + title = {Notes on an Entropy-like Method for Robust Parameter Identifcation}, + institution = {Jacobs University}, + type = {Technical Report}, + month = {July 2008}, + abstract = {This reports describes the basic ideas behind a novel parameter identication +algorithm exhibiting high robustness with respect to outlying data. The algorithm +consists in minimizing an entropy-like cost function of the identication residuals. +Robustness to outliers is obtained as a consequence of the fact that the used cost +function rewards unevenly distributed residuals rather than some kind of weighted +mean square error (MSE). In particular residuals are normalized to the MSE and +the minimization of the devised entropy-like function rewards the presence of a +majority of low relative errors and a minority of large ones, rather than a least +MSE that tends to level out residuals hence often hiding outliers. A preliminary +theoretical analysis of the algorithm is reported together with experimental results +to demonstrate the method. This work builds on ideas initially elaborated in 1999 +and extended only in the Summer of 2006 during a research visit at the IUB +}, + year = {2008} +} + +@article{Iqbal1992_JSC, + author = {Iqbal, R.}, + title = {A one-pass algorithm for shape-preserving quadratic spline interpolation}, + journal = {J. Sci. Comput. }, + volume = {7}, + pages = {359-376}, + year = {1992} +} + +@article{Iqbal1992, + author = {Iqbal, Rafhat}, + title = {A one-pass algorithm for shape-preserving quadratic spline interpolation}, + journal = {J. Sci. Comput.}, + volume = {7}, + number = {4}, + pages = {359-376}, + year = {1992} +} + +@article{Irpino, + author = {Irpino, A. and Verde, R.}, + title = {Dynamic clustering of interval data using a Wasserstein-based distance}, + journal = {Pattern Recognition Letters}, + volume = {29}, + number = {11}, + pages = {1648-1658}, + note = {doi: DOI: 10.1016/j.patrec.2008.04.008}, + keywords = {Interval data +Clustering +Wasserstein distance +Inertia}, + year = {2008} +} + +@article{Sugeno1985_IJMMS, + author = {Ishii, K. and Sugeno, M.}, + title = {A model of human evaluation process using fuzzy measure}, + journal = {International Journal of Man-Machine Studies}, + volume = {22}, + pages = {19-38}, + year = {1985} +} + + author = {Ishikawa, Takeo and Tsukui, Yusuke and Matsunami, Michio}, + title = {A combined method for the global optimization using radial basis function and deterministic approach}, + journal = {IEEE Transactions on Magnetics}, + volume = {35}, + number = {3}, + pages = {1730(4)}, + abstract = {The present paper proposes a combined method for the global optimization of realistic engineering problems using radial basis functions and a deterministic approach. A die mold model for orientation of magnetic powder is optimized to show the effectiveness of the proposed method. +Index terms - Global optimization, radial basis function, sequential quadratic programming method}, + keywords = {Mathematical optimization Technique +Quadratic programming Usage}, + year = {1999} +} + + author = {Ishizuka, Y. and Fujiwara, M. and Kanazawa, K. and Nemoto, T. and Fujita, K. and H., Nakanishi}, + title = {Three-dimensional structure of the inclusion complex between phloridzin and beta-cyclodextrin}, + journal = {Carbohydrate Research}, + volume = {337}, + number = {19}, + pages = {1737-1743}, + abstract = {The inclusion of phloridzin into beta-cyclodextrin was studied as a model of molecular recognition in membranes. Effects on H-1 NMR spectra and NOE correlational peaks between phloridzin and beta-cyclodextrin were observed in the complex. Strong NOEs were observed between hydrogens of a phenol group in phloridzin and beta-cyclodextrin. The three-dimensional structure of the inclusion complex between phloridzin and beta-cyclodextrin was simulated with distance constraints estimated by the intensity of NOE peaks using the DADAS90 programs. Two inclusion possibilities were suggested-the large rim of beta-cyclodextrin as an entrance of the inclusion and the small rim of beta-cyclodextrin as the entrance. In both cases, the phenol group of phloridzin was included in the hydrophobic space of beta-cyclodextrin.}, + keywords = {journal +Phloridzin +beta-cyclodextrin +NOESY spectra +distance geometry +inclusion +glucose cotransporter +molecular dynamics (MD) +alpha-cyclodextrin +aqueous-solution +intestinal Na+ +sodium cation, Na+ +phlorizin +transport +spectroscopy}, + year = {2002} +} + + author = {Jablonsky, M.J. and Jackson, P.L. and Krishna, N.R.}, + title = {Solution structure of an insect-specific neurotoxin from the new worls scorpion Centruroides sculpturatus Ewing}, + journal = {Biochemistry}, + volume = {40}, + number = {28}, + pages = {8273-8282}, + keywords = {journal +molecular structure +nuclear magnetic resonance (NMR) +nuclear Overhauser effect spectroscopy (NOESY) +nuclear Overhauser effect (NOE) +COSY}, + year = {2001} +} + +@article{Jackson1921, + author = {Jackson, D.}, + title = {Note on the median of a set of numbers}, + journal = {Bulletin of the Americam Math. Soc.}, + volume = {27}, + pages = {160-164}, + year = {1921} +} + +@article{Jacobs2000, + author = {Jacobs, D. W. and Weinshall, D. and Gdalyahu, Y.}, + title = {Classification with nonmetric distances: image retrieval and class representation}, + journal = {IEEE Transactions on Pattern Analysis and Machine Intelligence}, + volume = {22}, + number = {6}, + pages = {583-600}, + keywords = {correlation methods +image classification +image representation +image retrieval +learning by example +appearance-based vision +atypical points +boundary points +class representation +exemplar-based methods +nearest-neighbor methods +nonmetric dataspaces +nonmetric distances +nonmetric similarity functions +nonmetric similarity judgments +robust image matching methods +triangle inequality +vector correlation}, + year = {2000} +} + +@book{Jacoby_book, + author = {Jacoby, S.L.S and Kowalik, J.S. and Pizzo, J.T.}, + title = {Iterative Methods for Nonlinear Optimization }, + publisher = {Prentice Hall}, + address = {Englewood Cliffs, N.J . }, + year = {1972} +} + +@article{Jaeckel1972_AMS, + author = {Jaeckel, L.A.}, + title = {Estimating regression coefficients by minimizing the dispersion of the residuals}, + journal = {Annals of Math. Statistics}, + volume = {43}, + pages = {1449-1458}, + year = {1972} +} + +@article{Jain1999_ACM, + author = {Jain, A.K. and Murty, M.N. and Flynn, P.J.}, + title = {Data Clustering: A Review}, + journal = {ACM Computing Surveys}, + volume = {31}, + pages = {264-323}, + year = {1999} +} + + author = {Jain, P. and Agogino, A. M.}, + title = {Global optimization using the multistart method}, + journal = {Journal of Mechanical Design}, + volume = {115}, + number = {4}, + pages = {p770(6)}, + abstract = {Multistart is a stochastic global optimization method for finding the global optimum of highly nonlinear mechanical problems. In this paper we introduce and develop a variant of the multistart method in which a fraction of the sample points in the feasible region with smallest function value are clustered using the Vector Quantization technique. The theories of lattices and sphere packing are used to define optimal lattices. These lattices are optimal with respect to quantization error and are used as code points for vector quantization. The implementation of these ideas has resulted in the VQ-multistart algorithm for finding the global optimum with substantial reductions in both the incore memory requirements and the computation time. We solve several mathematical test problems and a mechanical optimal design problem using the VQ-multistart algorithm.}, + keywords = {Structural optimization Technique +Mathematical optimization Technique}, + year = {1993} +} + +@article{Jajo2005, + author = {Jajo, N.K.}, + title = {A review of robust regression and diagnostic procedures in linear regression (in Chinese)}, + journal = {Acta Math. Appl. Sin. Engl. Ser.}, + volume = {21}, + number = {2}, + pages = {209--224}, + year = {2005} +} + + author = {Jalaie, M. and Lipkowitz, K.B.}, + title = {Published force field parameters for molecular mechanics, molecular dynamics, and Monte Carlo simulations}, + booktitle = {Reviews in Computational Chemistry}, + editor = {Lipkowitz, K.B. and Boyd, D.B.}, + publisher = {Wiley-VCH}, + address = {New York}, + volume = {14}, + pages = {441-486}, + keywords = {potential energy surface (PES) +molecular dynamics (MD) +molecular mechanics (MM) +molecular modelling +standard review +valence force field +empirical force field (EFF) +Monte Carlo (MC)}, + year = {2000} +} + + author = {James, T.L. and Schmitz, U. and Dötsch, V.}, + title = {Nuclear Magnetic Resonance of Biological Macromolecules, Part A}, + publisher = {Academic Press}, + address = {San Diego}, + volume = {338}, + series = {Methods in Enzymology}, + note = {General techniques +Nucleic acids and carbohydrates}, + keywords = {nuclear magnetic resonance (NMR) +macromolecules +biomolecules +protein +review}, + year = {2001} +} + + author = {James, T.L. and Schmitz, U. and Dötsch, V.}, + title = {Nuclear Magnetic Resonance of Biological Macromolecules, Part B}, + publisher = {Academic Press}, + address = {San Diego}, + volume = {339}, + series = {Methods in Enzymology}, + note = {pt. B. Proteins: Techniques for proteins +Classes of proteins +Macromolecular complexes}, + keywords = {nuclear magnetic resonance (NMR) +macromolecules +biomolecules +protein +review}, + year = {2001} +} + +@article{Jenei1998_fssa, + author = {Jenei, S.}, + title = {On Archimedian triangular norms}, + journal = {Fuzzy Sets and Systems}, + volume = {99}, + pages = {179-186}, + year = {1998} +} + +@article{Jenei1999_FSS, + author = {Jenei, S. and De Baets, B.}, + title = {On the direct decomposability of t-norms on product lattices}, + journal = {Fuzzy Sets and Systems}, + volume = {139}, + pages = {699-707}, + note = {doi: DOI: 10.1016/S0165-0114(03)00125-8}, + keywords = {Partially ordered monoid +Product lattice +Residuated lattice +t-Norm}, + year = {2003} +} + +@article{Jenei1998_fss, + author = {Jenei, S. and Fodor, J.}, + title = {On continuous triangular norms}, + journal = {Fuzzy Sets and Systems}, + volume = {100}, + pages = {273-282}, + year = {1998} +} + +@article{Jenei1999_FSS, + author = {Jenei, S. and Pap, E.}, + title = {Smoothly generated {A}rchimedean approximation of continuous triangular norm}, + journal = {Fuzzy Sets and Systems}, + volume = {104}, + pages = {19-25}, + year = {1999} +} + +@inproceedings{Jeng2011, + author = {Jeng, J.-T. and Chuang, C-T. and Chuang, C.-C.}, + title = {Least trimmed squares based CPBUM neural networks}, + booktitle = {International Conference on System Science and Engineering}, + publisher = {IEEE}, + pages = {187-192}, + keywords = {Chebyshev approximation +gradient methods +learning (artificial intelligence) +least squares approximations +neural nets +polynomial approximation +Chebyshev polynomial functional link network +LTS computational architecture +convergent speed +gradient-descent algorithm +learning algorithm +least trimmed square based CPBUM neural networks +noise problem +outlier problem +robust mechanism +training data set}, + year = {2011} +} + + author = {Jensen, F.}, + title = {Introduction to Computational Chemistry}, + publisher = {John Wiley and Sons}, + address = {Chichester (UK)}, + keywords = {book +ab initio quantum calculations +classical trajectory (CT) +computer-aided instruction (CAI) +density-functional theory (DFT) +education +graduate text +molecular mechanics (MM) +molecular modelling +molecular orbital (MO) theory +potential energy surface (PES) +quantum mechanics +self-consistent field (SCF) +semiempirical theory +standard review +standard text +transition state theory (TST)}, + year = {1999} +} + + author = {Jones, D. R. and Perttunen, C. D. and Stuckman, B. E.}, + title = {Lipschitzian Optimization without the Lipschitz Constant}, + journal = {Journal of Optimization Theory and Applications}, + volume = {79}, + number = {1}, + pages = {157-181}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Jones DR GM CORP CTR RES and DEV WARREN, MI 48090 USA BROOKS and KUSHMAN DEPT PATENT and COMP LAW SOUTHFIELD, MI USA 0009}, + abstract = {We present a new algorithm for finding the global minimum of a multivariate function subject to simple bounds. The algorithm is a modification of the standard Lipschitzian approach that eliminates the need to specify a Lipschitz constant. This is done by carrying out simultaneous searches using all possible constants from zero to infinity. On nine standard test functions, the new algorithm converges in fewer function evaluations than most competing methods. The motivation for the new algorithm stems from a different way of looking at the Lipschitz constant. In particular, the Lipschitz constant is viewed as a weighting parameter that indicates how much emphasis to place on global versus local search. In standard Lipschitzian methods, this constant is usually large because it must equal or exceed the maximum rate of change of the objective function. As a result, these methods place a high emphasis on global search and exhibit slow convergence. In contrast, the new algorithm carries out simultaneous searches using all possible constants, and therefore operates at both the global and local level. Once the global part of the algorithm finds the basin of convergence of the optimum, the local part of the algorithm quickly and automatically exploits it. This accounts for the fast convergence of the new algorithm on the test functions. [References: 16] 16}, + keywords = {Global optimization. Lipschitzian optimization. Space covering. Space +partitioning. +Global optimization. Algorithm. Minimization. Maximum. +Mathematics. +Reprint available from: Jones DR. GM CORP, CTR RES and DEV, WARREN, MI +48090, USA.}, + year = {1993} +} + + author = {Jones, D.T.}, + title = {A practical guide to protein structure prediction}, + booktitle = {Protein Structure Prediction: Methods and Protocols}, + editor = {Webster, D.M.}, + publisher = {Humana}, + address = {Totowa (NJ)}, + pages = {131-154}, + keywords = {protein +conformation +molecular modelling +review}, + year = {2000} +} + + author = {Juan, A. and Ferrer, A. and Serrat, C. and Faulin, J. and Beliakov, G. and Hester, J.}, + title = {Potential Applications of Discrete-Event Simulation and Fuzzy Rule-Based Systems to Structural Reliability and Availability}, + booktitle = {Simulation Methods for Reliability and Availability of Complex Systems }, + editor = {Faulin, J.; Juan, A.; Martorell, S.; Ramirez-Marquez, E.}, + publisher = {Springer}, + address = {Heidelberg, New York}, + year = {2010} +} + +@article{Jupp_1978, + author = {Jupp, D.L.B.}, + title = {Approximation to data by splines with free knots}, + journal = {SIAM J. Numer. Anal.}, + volume = {15 }, + pages = {328-343}, + year = {1978} +} + +@incollection{Jurio2012_inbook, + author = {Jurio, Aranzazu and Pagola, Miguel and Bustince, Humberto and Beliakov, Gleb}, + title = {Color Image Magnification with Interval-Valued Fuzzy Sets}, + booktitle = {Advances in Intelligent and Soft Computing}, + editor = {Melo-Pinto, Pedro and Couto, Pedro and Serôdio, Carlos and Fodor, János and De Baets, Bernard}, + series = {Advances in Intelligent and Soft Computing}, + publisher = {Springer }, + address = {Berlin / Heidelberg}, + volume = {107}, + pages = {313-324}, + year = {2012} +} + +@article{Jurio2012_TIP, + author = {Jurio, A. and Pagola, M. and Mesiar, R. and Beliakov, G. and Bustince, H.}, + title = {Image Magnification Using Interval Information}, + journal = {IEEE Trans. on Image Processing}, + volume = {20}, + pages = {3112-3123}, + year = {2011} +} + +@inproceedings{PaternainIEEE_IS_2010, + author = {Jurio, A. and Paternain, D. and Bustince, H. and Guerra, C. and Beliakov, G.}, + title = {A construction method of Atanassov's intuitionistic fuzzy sets for image processing}, + booktitle = {5th IEEE International Conference on Intelligent Systems}, + address = {Paris}, + publisher = {IEEE}, + pages = {337-342}, + keywords = {fuzzy set theory +image processing +Atanassov intuitionistic fuzzy sets +image magnification algorithm}, + year = {2010} +} + + author = {Jurio, A. and Paternain, D. and Bustince, H. and Guerra, C. and Beliakov, G.}, + title = {A construction method of Atanassov's intuitionistic fuzzy sets for image processing}, + booktitle = {Intelligent Systems (IS), 2010 5th IEEE International Conference}, + pages = {337-342}, + keywords = {fuzzy set theory +image processing +Atanassov intuitionistic fuzzy sets +image magnification algorithm}, + year = {2010} +} + + author = {Jurio, A. and Paternain, D. and Lopez-Molina, C. and Bustince, H. and Mesiar, R. and Beliakov, G.}, + title = {A construction method of interval-valued Fuzzy Sets for image processing}, + booktitle = {Advances in Type-2 Fuzzy Logic Systems (T2FUZZ), 2011 IEEE Symposium on}, + pages = {16-22}, + keywords = {fuzzy set theory +image processing +block expansion +construction method +image magnification algorithm +interval-valued fuzzy sets}, + +} + +@misc{JurioIEEESS_2011, + author = {Jurio, A. and Paternain, D. and Lopez-Molina, C. and Mesiar, R. and Beliakov, G. and Bustince, H.}, + title = {A construction method of Interval-Valued Fuzzy Sets for image processing}, + publisher = {IEEE}, + volume = {in press}, + year = {2011} +} + + author = {Jurs, P.C.}, + title = {Chemometrics and multivariate analysis in analytical chemistry}, + booktitle = {Reviews in Computational Chemistry}, + editor = {Lipkowitz, K.B. and Boyd, D.B.}, + publisher = {VCH Publishers}, + address = {New York}, + volume = {1}, + pages = {169-212}, + keywords = {standard review +chemometrics}, + year = {1990} +} + + author = {Juttler, B.}, + title = {Surface fitting using convex tensor-product splines}, + journal = {J. Comp. Appl. Math.}, + volume = {84}, + pages = {23-44}, + year = {1997} +} + + author = {Kamath, S. and Colby, R. H. and Kumar, S. K. and Karatasos, K. and Floudas, G. and Fytas, G. and Roovers, J. E. L.}, + title = {Segmental dynamics of miscible polymer blends: Comparison of the predictions of a concentration fluctuation model to experiment}, + journal = {Journal of Chemical Physics}, + volume = {111}, + number = {13}, + pages = {6121-6128}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Kumar SK Penn State Univ, Dept Mat Sci and Engn University Pk, PA 16802 USA Penn State Univ, Dept Mat Sci and Engn University Pk, PA 16802 USA Fdn Res and Technol Hellas, Inst Elect Struct and Laser Heraklion 71110 Crete Greece Natl Res Council Canada, Inst Environm Chem Ottawa ON K1A 0R6 Canada 0052 J. Chem. Phys}, + abstract = {We recently proposed a concentration fluctuation model to describe the segmental dynamics of miscible polymer blends [Kumar , J. Chem. Phys. 105, 3777 (1996)]. This model assumes the existence of a cooperative volume, similar to that in the Adam-Gibbs picture of the glass transition, over which segments have to reorganize in a concerted fashion to facilitate stress relaxation. No molecular theory exists for the cooperative volume. Consequently, here we critically compare two alternative functional dependences for this quantity in the context of the segmental dynamics of the most extensively studied miscible polymer blend, 1,4-polyisoprene (PI) and polyvinylethylene (PVE): (a) The Donth model, which assumes the Vogel form for the temperature dependence of relaxation processes, with a relaxation time that diverges at the Vogel temperature, roughly 50 K below the glass transition, and (b) a more recent dynamic scaling model that predicts the relaxation time diverges algebraically, only about 10 K below the glass transition. We find that the dynamic scaling model provides a near-quantitative description of the segmental relaxation in PI/PVE blends. In contrast, the Donth model predicts that the relaxation time spectrum for PI, the faster relaxing component, is bimodal, in qualitative disagreement with NMR experiments and our dielectric measurements reported here. Our results therefore emphasize two findings. First, our model can describe the segmental relaxations of the components of a polymer blend in a near-quantitative manner. Second, and more fundamentally, it appears that the dynamic scaling model describes segmental dynamics of polymers near their glass transition. (C) 1999 American Institute of Physics. [S0021-9606(99)52137-5]. [References: 31] 31}, + keywords = {Dielectric alpha-relaxation. Component dynamics. 1,2-polybutadiene. +1,4-polyisoprene. +Physical Chemistry/Chemical Physics in Current Contents(R)/Physical, +Chemical and Earth Sciences. +1999 week 42 +Reprint available from: Kumar SK. Penn State Univ, Dept Mat Sci and Engn, +University Pk, PA 16802, USA, .}, + year = {1999} +} + +@inproceedings{Kang1997, + author = {Kang, I. and Kim, T. and Li, K}, + title = {A Spatial Data Mining Method by Dealunay Triangulation}, + booktitle = {5th ACM Intl. Workshop on Advances in Geographic Inf. Sys.}, + address = {Las Vegas, USA}, + publisher = {ACM Press}, + pages = {35-39}, + year = {1997} +} + + author = {Kapantaidakis, G. C. and Kaldis, S. P. and Sakellaropoulos, G. P. and Chira, E. and Loppinet, B. and Floudas, G.}, + title = {Interrelation between phase state and gas permeation in polysulfone/polyimide blend membranes}, + journal = {Journal of Polymer Science Part B-Polymer Physics}, + volume = {37}, + number = {19}, + pages = {2788-2798}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas G Fdn Res and Technol Hellas, Inst Elect Struct and Laser POB 1527 Heraklion 71110 Crete Greece Fdn Res and Technol Hellas, Inst Elect Struct and Laser Heraklion 71110 Crete Greece Aristotelian Univ Salonika GR-54006 Salonika Greece Chem Proc Engn Inst Salonika 54006 Greece 0008 J. Polym. Sci. Pt. B-Polym. Phys}, + abstract = {The phase state of polysulfone/polyimide (PSF/PI) blends has been studied by differential scanning calorimetry, rheology, and X-ray scattering. The blends rich in PSF form miscible blends when prepared by solution casting from a common solvent. In these PSF-rich blends, the single dynamic process in rheology shifts and broadens, with composition reflecting the change in local friction and the enhancement of concentration fluctuations, respectively. Heating to temperatures above the glass transition temperature results in phase separation into PSF- and PI-rich domains. An apparent phase diagram has been constructed, and helium permeability has been measured in different regimes corresponding to miscible, partially miscible, and completely phase-separated states. We find that one component (PI) controls the permeability values and activation energies for helium permeation in the blends. Gas permeation is found to he very sensitive to local concentration fluctuations and thus can be used as a probe of the phase state in polymer blends. (C) 1999 John Wiley and Sons, Inc. [References: 39] 39}, + keywords = {Polymer blends. Phase state. Gas permeation. +Transport properties. Separation membranes. Polyimide membranes. +Aromatic polyimides. Polymer membranes. Permeability. Methacrylate). +Fluctuations. Relaxation. Sorption. +Organic Chemistry/Polymer Science in Current Contents(R)/Physical, +Chemical and Earth Sciences. +1999 week 42 +Reprint available from: Floudas G. Fdn Res and Technol Hellas, Inst Elect +Struct and Laser, POB 1527, Heraklion 71110, Crete.}, + year = {1999} +} + + author = {Karatasos, K. and Anastasiadis, S. H. and Floudas, G. and Fytas, G. and Pispas, S. and Hadjichristidis, N. and Pakula, T.}, + title = {Composition Fluctuation Effects on Dielectric Normal-Mode Relaxation in Diblock Copolymers .2. Disordered State in Proximity to the Odt and Ordered State}, + journal = {Macromolecules}, + volume = {29}, + number = {4}, + pages = {1326-1336}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Anastasiadis SH FDN RES and TECHNOL HELLAS INST ELECTR STRUCT and LASER POB 1527 GR-71110 IRAKLION GREECE FDN RES and TECHNOL HELLAS INST ELECTR STRUCT and LASER GR-71110 IRAKLION GREECE UNIV ATHENS DEPT CHEM GR-15701 ZOGRAFOS GREECE MAX PLANCK INST POLYMER RES D-55021 MAINZ GERMANY 0035}, + abstract = {Dielectric relaxation spectroscopy has been used to investigate the block end-to-end vector relaxation in symmetric poly(styrene-b-1,4-isoprene) diblock copolymers both in the ordered state and in the disordered state close to the disorder-to-order transition (ODT). Evidence is presented of two new types of dielectrically active chain relaxations by approaching the ODT from the disordered state and in the ordered state. In the ordered state and besides the usual isoprene subchain overall orientation, a new block relaxation process appears with slow dynamics and amplitude that depends on the sample preparation. The slow process is related to the coherently ordered microstructure and is attributed to the relaxation of the conformal interfaces formed in the ordered state; this assignment is supported by computer simulation results. In the disordered state, a bifurcation of the single dielectric relaxation is observed; the total amplitude increases as the temperature approaches the ODT, whereas the high-frequency process shows an apparent weak temperature dependence. The fast process may be related to polyisoprene subchains that feel higher polyisoprene concentrations near the ODT, whereas the slow relaxation mode can be attributed to the induced orientation correlations near and above the ODT, as supported also by computer simulations. [References: 91] 91}, + keywords = {Microphase-separation transition. Random-phase approximation. Condensed +macromolecular systems. Domain-boundary structure. Block-copolymer. +Cis-polyisoprene. Monte-carlo. Mutual diffusion. Self-diffusion. +Cooperative relaxations. +Organic chemistry/polymer science. +Reprint available from: Anastasiadis SH. FDN RES and TECHNOL HELLAS, INST +ELECTR STRUCT and LASER, POB 1527, GR-71110 IRAKLION.}, + year = {1996} +} + + author = {Kasabov, N}, + title = {Foundations of Neural Networks, Fuzzy Systems and Knowledge Engineering}, + publisher = {The MIT Press}, + year = {1996} +} + +@inproceedings{Kaymak1994_IEEEFUZZY, + author = {Kaymak, U. and van Nauta Lemke, H.R.}, + title = {Selecting an Aggregation Operator For Fuzzy Decision Making}, + booktitle = {3rd IEEE Intl. Conf. on Fuzzy Systems}, + volume = {2}, + pages = {1418-1422}, + year = {1994} +} + +@article{Kearsley_2006, + author = {Kearsley, A.J.}, + title = {Projections Onto Order Simplexes and Isotonic Regression}, + journal = {J. Res. Natl. Inst. Stand. Technol.}, + volume = {111}, + pages = {121-125}, + year = {2006} +} + +@article{Kelley1960_siam, + author = {Kelley, J.E.}, + title = {The cutting-plane method for solving convex programs}, + journal = {J. of SIAM}, + volume = {8}, + pages = {703-712}, + year = {1960} +} + + author = {King, M. and Beliakov, G.}, + title = {New data induced metric for density based clustering}, + booktitle = {6th Intl. Conf. Optimization Techniques and Applications}, + editor = {Rubinov, A.}, + address = {Ballarat}, + year = {2004} +} + + author = {Kiwiel, K.C.}, + title = {Methods of Descent for Nondifferentiable Optimization}, + publisher = {Springer Verlag}, + address = {Berlin}, + year = {1985} +} + +@book{Kiwiel1985_book, + author = {Kiwiel, K.C.}, + title = {Methods of Descent of Nondifferentiable Optimization}, + publisher = {Springer}, + address = {Berlin}, + volume = {1133}, + series = {Lecture Notes in Mathematics}, + year = {1985} +} + + author = {Klement, E.P.}, + title = {Construction of fuzzy $\sigma$--algebras using triangular norms}, + journal = {J. Math. Anal. Appl.}, + pages = {543--566}, + year = {1982} +} + +@article{Klement2005_Kyb, + author = {Klement, E.P. and Kolesarova, A.}, + title = {Extension to copulas and quasi-copulas as special 1-Lipschitz aggregation operators}, + journal = {Kybernetica}, + volume = {41}, + pages = {329-348}, + year = {2005} +} + +@book{Klement2005_book, + author = {Klement, E.P. and Mesiar, R.}, + title = {Logical, Algebraic, Analytic, and Probabilistic Aspects of Triangular Norms}, + publisher = {Elsevier}, + address = {New York}, + year = {2005} +} + + author = {Klement, E.P. and Mesiar, R. and Pap, E.}, + title = {On the relationship of associative compensatory operators to triangular norms and conorms}, + journal = {Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems}, + volume = {4}, + pages = {129--144}, + year = {1996} +} + +@article{Klement1996_ijufks, + author = {Klement, E.P. and Mesiar, R. and Pap, E.}, + title = {On the relationship of associative compensatory operators to triangular norms and conorms}, + journal = {Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems}, + volume = {4}, + pages = {129-144}, + year = {1996} +} + +@book{Klement2000_book, + author = {Klement, E.P. and Mesiar, R. and Pap, E.}, + title = {Triangular Norms}, + publisher = {Kluwer}, + address = {Dordrecht}, + year = {2000} +} + +@incollection{KMP2003_volume, + author = {Klement, E.P. and Mesiar, R. and Pap, E.}, + title = {Triangular norms: Basic notions and properties}, + editor = {Klement, E.P. and Mesiar, R. and Pap, E.}, + pages = {this volume}, + year = {2004} +} + + author = {Klepeis, J. L. and Androulakis, I. P. and Ierapetritou, M. G. and Floudas, C. A.}, + title = {Predicting Solvated Peptide Conformations Via Global Minimization of Energetic Atom-to-Atom Interactions}, + journal = {Computers and Chemical Engineering}, + volume = {22}, + number = {6}, + pages = {765-788}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA}, + abstract = {A global optimization method is described for identifying the global minimum energy conformation, as well as lower and upper bounds on the global minimum conformer of solvated peptides. Potential energy contributions are calculated using the ECEPP/3 force field model. In considering the effects of hydration, two implicit free energy models are compared. One method is based an the calculation of solvent-accessible surface areas, while the other uses information on the solvent-accessible volume of hydration shells. Detailed information on the potential and salvation energy contributions is presented for the terminally blocked single.residue peptides. In addition, based on a procedure that allows the exclusion of domains of the (phi, psi) space, a number of oligopeptide structure prediction problems are considered, and the role of the solvation model in defining global minimum conformations is addressed. (C) 1998 Elsevier Science Ltd. All rights reserved. [References: 57]}, + keywords = {Protein folding. Solvation. Global optimization. +Pancreatic trypsin-inhibitor. Hydrogen-bond interactions. Occurring +amino-acids. Nonbonded interactions. Surface-area. Force-field. +Intermolecular potentials. Packing configurations. Geometrical +parameters. Optimization approach. +Chemical engineering.}, + year = {1998} +} + + author = {Klepeis, J. L. and Floudas, C. A.}, + title = {Comparative study of global minimum energy conformations of hydrated peptides}, + journal = {Journal of Computational Chemistry}, + volume = {20}, + number = {6}, + pages = {636-654}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas CA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA 0010 J. Comput. Chem}, + abstract = {A global optimization method is described for identifying the global minimum energy conformation, as well as lower and upper bounds on the global minimum conformer of solvated peptides. Ln considering the effects of hydration, two independent continuum-based solvation models are employed. The first method is based on the calculation of solvent-accessible surface areas, whereas the second method uses information on the solvent-accessible volume of hydration shells. The hydration effects predicted by the area- and volume-based models, using a variety of atomic solvation parameter (ASP) sets, are tested and compared by identifying global minimum energy structures of terminally blocked peptides and oligopeptides. Significant differences are observed, indicating that appropriate model selection is essential for accurately predicting hydrated peptide structures. Using this information, the applicability of these hydration models and ASP sets is discussed. (C) 1999 John Wiley and Sons, Inc. [References: 56] 56}, + keywords = {Protein folding. Solvation. Global optimization. Met-enkephalin. +Leu-enkephalin. +Differentiable constrained nlps. Accessible surface-areas. Solvation +free-energies. Optimization method. Solute molecules. Shell-model. +Alpha-bb. Protein-structure. Organic-molecules. Aqueous-solution. +Chemistry in Current Contents(R)/Physical, Chemical and Earth Sciences. +1999 week 18 +Reprint available from: Floudas CA. Princeton Univ, Dept Chem Engn, +Princeton, NJ 08544, USA, .}, + year = {1999} +} + + author = {Klepeis, J. L. and Floudas, C. A.}, + title = {Free energy calculations for peptides via deterministic global optimization}, + journal = {Journal of Chemical Physics}, + volume = {110}, + number = {15}, + pages = {7491-7512}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas CA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA 0045 J. Chem. Phys}, + abstract = {The alpha BB algorithm is a deterministically based global optimization method that has been successfully used to locate the global minimum energy conformations of peptide systems. The goal of this procedure is to identify the native conformation of a given peptide by identifying the structure possessing the global minimum potential energy. However, a rigorous conformational search should locate the structure exhibiting the global minimum free energy. In this work, novel methods are developed for locating free energy global minimum conformations and clusters of peptides. These methods are based on an harmonic approximation for entropic effects, which requires the ability to generate a dense ensemble of distinct low energy local minima. Two approaches, both based on the general concepts of the aBB branch and bound framework, are used to generate these ensembles. In performing these calculations, potential-energy contributions were modeled using an all-atom force field. In addition, hydration effects were also considered by utilizing a solvent-accessible volume of hydration shell model. The free energy analysis was applied to both the unsolvated and solvated forms of met- and leu-enkephalin. It was found that both methods produce dense, Boltzmann-type, distributions of low-energy metastable states. The inclusion of entropic effects was also found to influence the prediction of free energy global minima. In addition, a statistical treatment of the thermodynamics of folding showed that the transition temperature, which signified a collapse from high energy, extended structures to a ground-statelike ensemble, could be identified. (C) 1999 American Institute of Physics. [S0021-9606(99)51515-8]. [References: 51] 51}, + keywords = {Hydration shell-model. Differentiable constrained nlps. Hydrogen-bond +interactions. Occurring amino-acids. Solute molecules. Alpha-bb. +Nonbonded interactions. Force-field. Intermolecular potentials. +Packing configurations. +Physical Chemistry/Chemical Physics in Current Contents(R)/Physical, +Chemical and Earth Sciences. +1999 week 18 +Reprint available from: Floudas CA. Princeton Univ, Dept Chem Engn, +Princeton, NJ 08544, USA, .}, + year = {1999} +} + + author = {Klepeis, J. L. and Floudas, C. A.}, + title = {Deterministic global optimization and torsion angle dynamics for molecular structure prediction}, + journal = {Computers and Chemical Engineering}, + volume = {24}, + number = {2-7}, + pages = {1761-1766}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Floudas CA Princeton Univ, Sch Engn Appl Sci, Dept Chem Engn Princeton, NJ 08544 USA Princeton Univ, Sch Engn Appl Sci, Dept Chem Engn Princeton, NJ 08544 USA 0235 Comput. Chem. Eng}, + abstract = {The problem of protein folding has become the subject of intense theoretical and experimental study over the past few decades. This work presents a new method for protein structure prediction using distance and dihedral angle restraints derived from NMR data. Both the formulation and solution approach differ substantially from traditional molecular structure prediction techniques. The traditional formulation is recast as a constrained global optimization problem whose solution is obtained through the use of the alpha BB algorithm, a deterministic global optimization approach suitable for nonconvex constrained problems. To enhance the efficiency of this method, torsion angle dynamics is introduced as an integral part of the solution approach. The proposed algorithm is tested on the Compstatin structure prediction problem. (C) 2000 Elsevier Science Ltd. All rights reserved. [References: 20] 20}, + keywords = {Global optimization. Torsion angle dynamics. Molecular structure +prediction. +Differentiable constrained nlps. Alpha-bb. Structure refinement. Nmr +data. Conformations. Algorithm. Simulation. Complement. +Chemical Engineering in Current Contents(R)/Engineering, Computing and +Technology. +2000 week 36 +Reprint available from: Floudas CA. Princeton Univ, Sch Engn Appl Sci, +Dept Chem Engn, Princeton, NJ 08544, USA, .}, + year = {2000} +} + + author = {Klepeis, J. L. and Floudas, C. A. and Morikis, D. and Lambris, J. D.}, + title = {Predicting peptide structures using NMR data and deterministic global optimization}, + journal = {Journal of Computational Chemistry}, + volume = {20}, + number = {13}, + pages = {1354-1370}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas CA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Univ Calif San Diego, Dept Chem and Biochem La Jolla, CA 92093 USA Univ Penn, Dept Pathol and Lab Med Philadelphia, PA 19104 USA 0003 J. Comput. Chem}, + abstract = {The ability to analyze large molecular structures by NMR techniques requires efficient methods for structure calculation. Currently, there are several widely available methods for tackling these problems, which, in general, rely on the optimization of penalty-type target functions to satisfy the conformational restraints. Typically, these methods combine simulated annealing protocols with molecular dynamics and local minimization, either in distance or torsional angle space. In this work, both a novel formulation and algorithmic procedure for the solution of the NMR structure prediction problem is outlined. First, the unconstrained, penalty-type structure prediction problem is reformulated using nonlinear constraints, which can be individually enumerated for all, or subsets, of the distance restraints. In this way, the violation can be controlled as a constraint, in contrast to the usual penalty-type restraints. In addition, the customary simplified objective function is replaced by a full atom force field in the torsional angle space. This guarantees a better description of atomic interactions, which dictate the native structure of the molecule along with the distance restraints. The second novel portion of this work involves the solution method. Rather than pursue the typical simulated annealing procedure, this work relies on a deterministic method, which theoretically guarantees that the global solution can be located. This branch and bound technique, based on the alpha BB algorithm, has already been successfully applied to the identification of global minimum energy structures of peptides modeled by full atom force fields. Finally, the approach is applied to the Compstatin structure prediction, and it is found to possess some important merits when compared to existing techniques. (C) 1999 John Wiley and Sons, Inc. [References: 31] 31}, + keywords = {Global optimization. Structure calculation. Nmr. Compstatin. +Complement inhibitor. +Differentiable constrained nlps. Torsion angle dynamics. Alpha-bb. +Conformations. Design. Complement. Algorithm. +Chemistry in Current Contents(R)/Physical, Chemical and Earth Sciences. +1999 week 42 +Reprint available from: Floudas CA. Princeton Univ, Dept Chem Engn, +Princeton, NJ 08544, USA, .}, + year = {1999} +} + +@article{Klepeis1998_compchem, + author = {Klepeis, J. L. and Ierapetritou, M. G. and Floudas, C. A.}, + title = {Protein Folding and Peptide Docking - a Molecular Modeling and Global Optimization Approach}, + journal = {Computers and Chemical Engineering}, + volume = {22}, + number = {Suppl S}, + pages = {S 3-S 10}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA}, + abstract = {Global optimization approaches are proposed for addressing both the protein folding and peptide docking problems. In the protein folding problem, the ultimate goal involves predicting the native protein conformation. A common approach,based on the thermodynamic hypothesis, assumes that this conformation corresponds to the structure exhibiting the global minimum free energy. However, molecular modeling of these systems results in highly nonconvex energy hypersurfaces. In order to locate the global minimum energy structure on this surface, a powerful global optimization method, alpha BB, is applied. The approach is shown to be extremely effective in locating global minimum energy structures of solvated oligopeptides. A challenging problem related to protein folding is peptide docking. In addressing the peptide docking problem, the task is not only to predict a macromolecular-ligand structure but to also rank the binding; affinities of a set of potential ligands. Many methods have used qualitative descriptions of the macromolecular-ligand complexes in order to avoid the need to perform a global search on the nonconvex energy hypersurface. In this work, a novel decomposition based approach that incorporates quantitative, atomistic-level energy modeling and global optimization is proposed. This approach employs the alpha BB global optimization method and is applied to the prediction of peptide docking to the MHC HLA-DR1 protein. (C) 1998 Elsevier Science Ltd. All rights reserved. [References: 34]}, + keywords = {Conformational-analysis. Alpha-bb. Polypeptides. +Chemical engineering.}, + year = {1998} +} + +@book{Klir1992_book, + author = {Klir, G. and Folger, T.}, + title = {Fuzzy sets, uncertainty, and information}, + publisher = {Prentice Hall}, + address = {Singapore}, + year = {1992} +} + +@article{Klir1997_FSS, + author = {Klir, G. and Wang, Z. and D., Harmanec}, + title = {Constructing fuzzy measures in expert systems}, + journal = {Fuzzy Sets and Systems}, + volume = {92}, + pages = {251-264}, + year = {1997} +} + +@book{Knuth1998, + author = {Knuth, D.E.}, + title = {The Art of Computer Programming, Volume 3: Sorting and Searching}, + publisher = {Addison-Wesley}, + address = {Boston, MA}, + edition = {2nd}, + year = {1998} +} + +@inproceedings{Kobbelt1998_conf, + author = {Kobbelt, I. and Stamminger, M. and Seidel, H.-P.}, + title = {Density Estimation on Delaunay Triangulations}, + booktitle = {IEEE Workshop. Image and Multidimensional Digit. Sig. Proces.}, + editor = {Steinbach, E. and Runze, G.}, + address = {Alpbach, Austria}, + pages = {307-310}, + year = {1998} +} + +@article{Kocic1997_cma, + author = {Kocic, L.M. and Milovanovic, G.V.}, + title = {Shape-preserving approximations by polynomials and splines}, + journal = {Computer and Mathematics with Applications}, + volume = {33}, + pages = {59-97}, + year = {1997} +} + +@article{Kojadinovic2007_EJOR2, + author = {Kojadinovic, I.}, + title = {A weight-based approach to the measurement of the interaction among criteria in the framework of aggregation by the bipolar {C}hoquet integral}, + journal = {Europ. J. Oper. Res.}, + volume = {179}, + pages = {498-517}, + year = {2007} +} + +@misc{Kojadinovic2005_kappa, + author = {Kojadinovic, I. and Grabisch, M.}, + title = {Non additive measure and integral manipulation functions, R package version 0.2}, + publisher = {Available from: }, + year = {2005} +} + +@article{Kojadinovic2007_EJOR, + author = {Kojadinovic, I. and Marichal, J.-L.}, + title = {Entropy of bi-capacities}, + journal = {Europ. J. Oper. Res.}, + volume = {178}, + pages = {168-184}, + year = {2007} +} + +@article{Kojadinovic2005_IS, + author = {Kojadinovic, I. and Marichal, J.-L. and Roubens, M.}, + title = {An axiomatic approach to the definition of the entropy of a discrete Choquet capacity}, + journal = {Inform. Sci.}, + volume = {172 }, + pages = {131-153}, + year = {2005} +} + + author = {Kokossis, A. C. and Floudas, C. A.}, + title = {Optimization of Complex Reactor Networks .2. Nonisothermal Operation}, + journal = {Chemical Engineering Science}, + volume = {49}, + number = {7}, + pages = {1037-1051}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0009}, + abstract = {In this paper, the synthesis problem of complex nonisothermal reactor networks is addressed. The focus is on developing a superstructure of alternatives for the nonisothermal reactor system, and subsequently formulate and solve the synthesis problem according to the proposed general structure. The nonisothermal case features alternatives related to the type of temperature control for the reactors and includes options for directly or indirectly intercooled or interheated reactors. The approach is applicable to any homogeneous exothermic or endothermic complex reaction and the synthesis problem, formulated as a mixed integer nonlinear programming (MINLP) problem, can handle both thermodynamic and economic objective functions. The solution of the resulting MINLP problem provides information about the optimal type of temperature control, the optimal temperature profile, the feeding, recycling and bypassing strategy as well as the optimal type and size of the reactor units (CSTR, PFR) to be used. The efficiency of the method is illustrated with three different examples considering complex nonisothermal reaction mechanisms. [References: 30] 30}, + keywords = {Attainable region. +Chemical. +Reprint available from: Floudas CA. PRINCETON UNIV, DEPT CHEM ENGN, +PRINCETON, NJ 08544, USA.}, + year = {1994} +} + + author = {Kokossis, A. C. and Floudas, C. A.}, + title = {Stability in Optimal Design - Synthesis of Complex Reactor Networks}, + journal = {AICHE Journal}, + volume = {40}, + number = {5}, + pages = {849-861}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0010}, + abstract = {A systematic methodology applicable to the optimal design of stable process systems is presented. It is based on the formulation of a parametric problem that provides bounds on the optimal stable solution and an iterative algorithmic approach that attains convergence of the bounds in a finite number of iterations. The bounds on the optimal stable solution are based on analytical expressions of bounds on the eigenvalues of the Jacobian matrix using the concept of the measure of the matrix. When extended to the synthesis problem of reactor networks, the approach is able to couple the optimization problem with stability issues even in cases where the number of reactors is large and the reaction mechanism is described by a general complex reaction scheme. Furthermore, since at the synthesis level the reactor network represents an exhaustive superposition of the existing structural and operational alternatives, the approach fully exploits these alternatives and coordinates a weighted optimal search that improves the objective and accommodates a stable reactor network. This approach is not restricted to the synthesis of reactor networks and can be applied to the design of total process flowsheets. [References: 54] 54}, + keywords = {Stirred tank reactors. Optimization algorithm gop. Fluidized-bed +reactors. Cstr parameter space. Multiplicity patterns. Dynamic +behavior. Nonconvex nlps. Fine-structure. Safe design. Operation. +Chemical. +Reprint available from: Floudas CA. PRINCETON UNIV, DEPT CHEM ENGN, +PRINCETON, NJ 08544, USA.}, + year = {1994} +} + + author = {Kokossis, A. C. and Floudas, C. A.}, + title = {Stability Issues in Process Synthesis}, + journal = {Computers and Chemical Engineering}, + volume = {18}, + number = {Suppl S}, + pages = {S 93-S 97}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Kokossis AC PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0016}, + abstract = {A systematic methodology is presented for the optimal design of stable systems. The methodology is based upon the formulation of a parametric problem that bounds the optimal stable solution to which it converges within a number of iterations. The approach can be applied to the optimal design of total process flowsheets, as well as to the optimal synthesis of reactor networks where it can simultaneously address optimization and stability issues in superstructures comprised by large numbers of interconnected reactors which process complex reaction schemes. [References: 8] 8}, + keywords = {Process synthesis. Complex reactor networks. Stability. Optimization. +Chemical. +Reprint available from: Kokossis AC. PRINCETON UNIV, DEPT CHEM ENGN, +PRINCETON, NJ 08544, USA.}, + year = {1994} +} + +@article{Mesiar2007_IS, + author = {Koles\'arov\'a, A. and Mesiar, R. and Mayor, G.}, + title = {Weighted ordinal means}, + journal = {Inform. Sci.}, + volume = {177}, + pages = { 3822-3830}, + year = {2007} +} + +@article{Mesiar2006_TFS, + author = {Koles\'arov\'a, A. and Mesiar, R. and Mordelov\'a, J. and Sempi, C.}, + title = {Discrete copulas}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {14}, + pages = {608-705}, + year = {2006} +} + +@article{Kolesarova2003_Kyb, + author = {Kolesarova, A.}, + title = {1-Lipschitz aggregation operators and quasi-copulas}, + journal = {Kybernetica}, + volume = {39}, + pages = {615-629}, + year = {2003} +} + +@article{Kolesarova2002_IJUFKS, + author = {Kolesarova, A. and Muel, E. and Mordelova, J.}, + title = {Construction of kernel aggregation operators from marginal values}, + journal = {Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems}, + volume = {10 Suppl.}, + pages = {37-49}, + year = {2002} +} + +@phdthesis{Koller2007, + author = {Koller, M.}, + title = {Robust Statistics: Tests for Robust Linear Regression}, + university = {Eidgenossische Technische Hochschule Zurich}, + type = {Masters Thesis}, + abstract = {Analyzing data using statistical methods means to break reality down to a mathematical +framework, a model. Often this model is based on strong assumptions, for +example normally distributed data. Classical statistics provides methods that fit the +chosen model perfectly. But in reality the model assumptions usually hold only approximately. +Anomalies and untrue assumptions might render the statistical analysis +useless. +Robust statistics aims for methods that are based on weaker assumptions and +thus allow small deviations from the classical model. However, robust statistics is not +restricted to the use of robust estimation methods alone. It also extends to methods +used to draw inference. In the past, there has not been much research focused on +robust tests. +In this thesis we study the quality of inference performed by of two state-of-the-art +robust regression procedures. We then propose a design adapted scale estimator and +use it as part of a new robust regression estimator, the MMD-estimator. This new +estimator improves the quality of robust tests considerably. +A simulation study is performed to compare the performance of the mentioned +regression procedures in combination with various covariance matrix estimators. We +found large differences between the tested methods. Some methods were able to approximately +reach the desired level in the corresponding tests for most tested scenarios +while others produced estimates that were only useful in specific high sample settings. +We infer that the covariance matrix estimator needs to be carefully selected for every +new scenario.}, + year = {2007} +} + +@article{Kolmogorov1957_dan, + author = {Kolmogorov, A.N.}, + title = {On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition}, + journal = {Dokl. Acad. Nauk USSR}, + volume = {114}, + pages = {953-956}, + year = {1957} +} + + author = {Kovacevic-Vujcic, V. V. and Cangalovic, M. M.}, + title = {TABU search methodology in global optimization}, + journal = {Computers and Mathematics with Applications}, + volume = {37}, + number = {4-5}, + pages = {125-133}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Kovacevic-Vujcic VV Univ Belgrade, Fac Org Sci, Lab Operat Res Karnegijeva 4 Belgrade Yugoslavia Univ Belgrade, Fac Org Sci, Lab Operat Res Belgrade Yugoslavia Ohio State Univ, Dept Math Newark, OH 43055 USA Univ Belgrade, Fac Math Belgrade Yugoslavia 0012 Comput. Math. Appl}, + abstract = {This paper investigates the application of TABU search methodology in global optimization. A general multilevel TABU search algorithm is proposed. The algorithm is applied to the problem of finding constrained global minima of a piecewise smooth function of the form Phi(x) = max{phi(1)(x),...,phi(m)(x)} subject to box constraints. The tests are performed on a special class of problems of this type arising from the synthesis of radar polyphase codes. It is shown that problems of this type are NP-hard. (C) 1999 Elsevier Science Ltd. All rights reserved. [References: 8] 8}, + keywords = {Global optimization. Heuristic methods. Tabu search. +Computer Science and Engineering in Current Contents(R)/Engineering, +Computing and Technology. +1999 week 12 +Reprint available from: Kovacevic-Vujcic VV. Univ Belgrade, Fac Org Sci, +Lab Operat Res, Karnegijeva 4, Belgrade, Yugoslavia.}, + year = {1999} +} + + author = {Krotov, V. F.}, + title = {Global methods in optimal control theory}, + publisher = {Marcel Dekker}, + address = {New York}, + series = {Monographs and textbooks in pure and applied mathematics; 195.}, + note = {95038355 +Vadim F. Krotov. +Includes bibliographical references and index.}, + keywords = {Control theory. +Mathematical optimization. +Global analysis (Mathematics)}, + year = {1995} +} + +@article{Kubica2002, + author = {Kubica, J.M.}, + title = {Noise limits in reconstruction of optical parameters of silica-based double-layer planar waveguides on silicon}, + journal = {J. of Lightwave Technology}, + volume = {20}, + pages = {114-119}, + year = {2002} +} + +@article{Kuhn, + author = {Kuhn, H.W.}, + title = {A note on {F}ermat's problem}, + journal = {Math. Program.}, + volume = {4}, + pages = {98-107}, + year = {1973} +} + + author = {Kuncheva, L. I. and Bezdek, J. C.}, + title = {Selection of cluster prototypes from data by a genetic algorithm}, + booktitle = {5th European Congress on Intelligent Techniques and Soft Computing}, + address = {Aachen, Germany}, + pages = {1683-1688}, + year = {1997} +} + +@article{Kuncheva1998_IEEE, + author = {Kuncheva, L. I. and Bezdek, J. C.}, + title = {Nearest Prototype Classification - Clustering, Genetic Algorithms, or Random Search}, + journal = {IEEE Transactions on Systems, Man and Cybernetics Part C: Applications and Reviews}, + volume = {28}, + number = {1}, + pages = {160-164}, + abstract = {Three questions related to the nearest prototype classifier (NPC) are addressed: 1) when is it better to construct the prototypes instead of selecting them as a subset of the given labeled data, 2) how can we trade classification accuracy for a reduction in the number of prototypes, and 3) how good is pure random search (RS) for selection of prototypes from the data? We compare the resubstitution performance of the NPC on the IRIS data set, where the prototypes are either extracted by ''replacement'' (X-prototypes) or by ''selection'' (S-prototypes). Results for the R-prototypes are taken from a previous study and are contrasted with S-prototype results obtained by a genetic algorithm (GA) or by RS. The best results reached by both algorithms (GA and RS), followed by resubstitution NPC, are two errors with sets of three S-prototypes. This compares favorably to the best result found with R-prototypes, viz., three errors with five R-prototypes. Based on our results, He recommend GA selection for the NPC. A by-product of this research is a counter example to minimality of a recently published ''minimal consistent set selection'' procedure. [References: 12]}, + keywords = {Classifier design. Genetic algorithms (gas). Nearest prototypes. +Random search (rs). +Ai, robotics and automatic control.}, + year = {1998} +} + + author = {Kuper, T.}, + title = {Global Optimization Leads to Better Designs}, + journal = {Laser Focus World}, + volume = {33}, + number = {6}, + pages = {153-155}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Kuper T OPT RES ASSOCIATES PASADENA, CA 91107 USA}, + keywords = {Optics and acoustics.}, + year = {1997} +} + + author = {Kutteh, R. and Straatsma, T.P.}, + title = {Molecular dynamics with general holonomic constraints and application to internal coordinate constraints}, + booktitle = {Reviews in Computational Chemistry}, + editor = {Lipkowitz, K.B. and Boyd, D.B.}, + publisher = {Wiley-VCH}, + address = {New York}, + volume = {12}, + pages = {75-136}, + keywords = {constrained mechanics +holonomic constraints +molecular dynamics (MD) +molecular mechanics (MM) +molecular modelling +velocity Verlet algorithm +standard review}, + year = {1998} +} + +@book{Kvasov2000_book, + author = {Kvasov, B.}, + title = {Methods of shape preserving spline approximation}, + publisher = {World Scientific}, + address = {Singapore}, + year = {2000} +} + +@article{Luthi2005_MP, + author = {L\"uthi, H.-J. and Doege, J.}, + title = {Convex risk measures for portfolio optimization and concepts of flexibility}, + journal = { Mathematical Programming, Series B}, + volume = {104}, + pages = {541 - 559 }, + year = {2005} +} + +@book{Laarhoven1987_book, + author = {Laarhoven, P. J. M. van and Aarts, E. H. L.}, + title = {Simulated annealing: theory and applications}, + publisher = {D. Reidel}, + address = {Dordrecht; Boston +Norwell, MA, U.S.A.}, + note = {87009666 +P.J.M. van Laarhoven and E.H.L. Aarts. +Mathematics and its applications. +Includes index. +Bibliography: p. 157-175. +Mathematics and its applications (D. Reidel Publishing Company)}, + keywords = {Combinatorial optimization. +Algorithms.}, + year = {1987} +} + +@article{Lahtinen1990, + author = {Lahtinen, Aatos}, + title = {Shape preserving interpolation by quadratic splines}, + journal = {Journal of Computational and Applied Mathematics}, + volume = {29}, + number = {1}, + pages = {15-24}, + keywords = {Quadratic spline +preserving the shape}, + year = {1990} +} + + author = {Lasserre, J. B.}, + title = {Global optimization with polynomials and the problem of moments}, + journal = {SIAM Journal on Optimization}, + volume = {11}, + number = {3}, + pages = {796-817}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Lasserre JB CNRS, LAAS 7 Ave Colonel Roche F-31077 Toulouse 4 France CNRS, LAAS F-31077 Toulouse 4 France 0011 SIAM J. Optim}, + abstract = {We consider the problem of finding the unconstrained global minimum of a real-valued polynomial p(x): R-n-->R, as well as the global minimum of p (x), in a compact set K defined by polynomial inequalities. It is shown that this problem reduces to solving an (often finite) sequence of convex linear matrix inequality( LMI) problems. A notion of Karush-Kuhn-Tucker polynomials is introduced in a global optimality condition. Some illustrative examples are provided. [References: 20] 20}, + keywords = {Global optimization. Theory of moments and positive polynomials. +Semidefinite programming. +Semi-algebraic sets. +Mathematics in Current Contents(R)/Physical, Chemical and Earth Sciences. +2001 week 17}, + year = {2001} +} + +@book{Lawson1995_book, + author = {Lawson, C. and Hanson, R.}, + title = {Solving Least Squares Problems}, + publisher = {SIAM}, + address = {Philadelphia}, + year = {1995} +} + +@book{Lay1972_book, + author = {Lay, S.R.}, + title = {Convex sets and their applications}, + publisher = {Wiley}, + address = {New York}, + year = {1972} +} + +@article{Lazaro2004_FSS, + author = {Lazaro, J. and R\"uckschlossov/'a, T. and Calvo, T.}, + title = {Shift invariant binary aggregation operators }, + journal = {Fuzzy Sets and Systems}, + volume = {142}, + pages = {51-62 }, + year = {2004} +} + + author = {Leach, A.R.}, + title = {A survey of methods for searching the conformational space of small and medium-sized molecules}, + booktitle = {Reviews in Computational Chemistry}, + editor = {Lipkowitz, K.B. and Boyd, D.B.}, + publisher = {VCH Publishers}, + address = {New York}, + volume = {2}, + pages = {1-55}, + note = {ISBN 3-527-28338-2}, + keywords = {standard review +geometry optimization +rotamer +molecular mechanics (MM) +molecular modelling}, + year = {1991} +} + +@book{Leach1996_book, + author = {Leach, A.R.}, + title = {Molecular Modelling: Principles and Applications}, + publisher = {Addison Wesley Longman}, + address = {Harlow (UK)}, + abstract = {Useful concepts in molecular modelling +Quantum mechanical models +Empirical force field models: molecular mechanics +Energy minimisation and related methods for exploring the energy surface +Computer simulation methods +Molecular dynamics simulation methods +Monte Carlo simulation methods +Conformational analysis +Three challenges in molecular modelling: free energies, solvation and simulating reactions +The use of molecular modelling to discover and design new molecules}, + keywords = {standard text +molecular dynamics (MD) +molecular mechanics (MM) +molecular modelling +quantum chemistry +quantum mechanics +computational chemistry}, + year = {1996} +} + + author = {Lee, J. Y. and Pillardy, J. and Czaplewski, C. and Arnautova, Y. and Ripoll, D. R. and Liwo, A. and Gibson, K. D. and Wawak, R. J. and Scheraga, H. A.}, + title = {Efficient parallel algorithms in global optimization of potential energy functions for peptides, proteins, and crystals}, + journal = {Computer Physics Communications}, + volume = {128}, + number = {1-2}, + pages = {399-411}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Scheraga HA Cornell Univ, Baker Lab Chem and Chem Biol Ithaca, NY 14853 USA Cornell Univ, Baker Lab Chem and Chem Biol Ithaca, NY 14853 USA Cornell Theory Ctr Ithaca, NY 14853 USA Univ Gdansk, Fac Chem PL-80952 Gdansk Poland 0027 Comput. Phys. Commun}, + abstract = {Global optimization is playing an increasing role in physics, chemistry, and biophysical chemistry. One of the most important applications of global optimization is to find the global minima of the potential energy of molecules or molecular assemblies, such as crystals. The solution of this problem typically requires huge computational effort. Even the fastest processor available is not fast enough to carry out this kind of computation in real time for the problems of real interest, e.g., protein and crystal structure prediction. One way to circumvent this problem is to take advantage of massively parallel computing. In this paper, we provide several examples of parallel implementations of global optimization algorithms developed in our laboratory. All of these examples follow the master/worker approach. Most of the methods are parallelized on the algorithmic (coarse-grain) level and one example of fine-grain parallelism is given, in which the function evaluation itself is computationally expensive. All parallel algorithms were initially implemented on an IBM/SP2 (distributed-memory) machine. In all cases, however, message passing is handled through the standard Message Passing Interface (MPI); consequently the algorithms can also be implemented on any distributed- or shared-memory system that runs MPI. The efficiency of these implementations is discussed. (C) 2000 Elsevier Science B.V. All rights reserved. [References: 38] 38}, + keywords = {Crystal structure prediction. Genetic algorithms. Global optimization. +Monte carlo methods. Parallel algorithms. Protein structure prediction. +Residue force-field. Monte-carlo method. Multiple-minima problem. +Membrane-bound portion. Hydrogen-bond interactions. Occurring +amino-acids. Conformational-analysis. Nonbonded interactions. +Structure simulations. Structure prediction. +Physics in Current Contents(R)/Physical, Chemical and Earth Sciences. +2000 week 30 +Reprint available from: Scheraga HA. Cornell Univ, Baker Lab Chem and Chem +Biol, Ithaca, NY 14853, USA, .}, + year = {2000} +} + +@article{Lee1995_FSS, + author = {Lee, K.M. and Leekwang, H.}, + title = {Identification of $\lambda$-fuzzy measure by genetic algorithms}, + journal = {Fuzzy Sets and Systems}, + volume = {75}, + pages = { 301-309}, + year = {1995} +} + +@article{Lehmann2006_Nature, + author = {Lehmann, S. and Jackson, A.D. and Lautrup, B.E.}, + title = {Measures for measures}, + journal = {Nature}, + volume = {444}, + pages = {1003-1004}, + year = {2006} +} + + author = {Lehmann, T.E.}, + title = {Molecular modeling of the three-dimensional structure of Fe(II)-bleomycin: are the Co(II) and Fe(II) adducts isostructural?}, + journal = {Journal of Biological Inorganic Chemistry}, + volume = {7}, + number = {3}, + pages = {305-312}, + abstract = {The molecular modeling of Co(II)-bleomycin previously performed by us through NMR and molecular dynamics indicates that the most favorable structure for this complex is six-coordinate, with the secondary amine in beta-aminoalanine, the N5 and N1 nitrogens in the pyrimidine and imidazole rings, respectively, and the amide nitrogen in beta-hydroxyhistidine as equatorial ligands. The primary amine and either the carbamoyl group or a solvent molecule are proposed to occupy the axial sites. In this report, the results of the molecular modeling of Fe(II)-bleomycin are presented. The NMR data for the ferrous derivative of the drug have already been reported by us, and were used here to generate the necessary restraints For this modeling work. For Co(II)-bleomycin, two new models exhibiting N-carbamoyl ligation to the metal centers were also assayed and compared with the ones previously examined. The results of this investigation on Fe(II)- and Co(II)-bleomycin are most consistent with a six-coordinate structure with five endogenous N-donors and a solvent molecule or the carbamoyl group as the sixth ligand. Comparisons of the best Co(II)- and Fe(II)-bleomycin models with the NMR-generated structures for some relevant metallo-BLMs favor the model with only endogenous ligands and N-carbamoyl ligation as the structure probably held in solution by both Co(II)- and Fe(II)-bleomycin.}, + keywords = {distance geometry +nuclear magnetic resonance (NMR) +chemistry +nuclear Overhauser effect (NOE)}, + year = {2002} +} + +@article{lei2008, + author = {Lei, Chen and Xiang, Lian}, + title = {Efficient Similarity Search in Nonmetric Spaces with Local Constant Embedding}, + journal = {IEEE Transactions on Knowledge and Data Engineering}, + volume = {20}, + number = {3}, + pages = {321-336}, + keywords = {query formulation +distance function +local constant embedding +similarity-based search}, + year = {2008} +} + + author = {Leighton, Frank Thomson}, + title = {Introduction to parallel algorithms and architectures: arrays, trees, hypercubes}, + publisher = {M. Kaufmann Publishers}, + address = {San Mateo, Calif.}, + note = {91033238 //r98 +F. Thomson Leighton. +Includes bibliographical references (p. [785]-801) and indexes.}, + keywords = {Parallel algorithms. +Parallel processing (Electronic computers)}, + year = {1992} +} + +@inproceedings{Leischner2010_IEEE, + author = {Leischner, N. and Osipov, V. and Sanders, P.}, + title = {GPU samplesort}, + booktitle = { IEEE International Parallel and Distributed Processing Symposium}, + address = {Atlanta}, + publisher = {IEEE}, + pages = {DOI: 10.1109/IPDPS.2010.5470444 }, + year = {2010} +} + +@incollection{Lemarechal1978, + author = {Lemarechal, C.}, + title = {Bundle methods in non-smooth optimization}, + booktitle = {Non-smooth Optimization}, + editor = {Lemarechal, C. and Mifflin, R. }, + publisher = {Pergamon Press}, + address = {Oxford}, + pages = {78-102}, + year = {1978} +} + + author = {Lenzer, T. and Luther, K. and Troe, J. and Gilbert, R.G. and Lim, K.F.}, + title = {Trajectory simulations of collisional energy transfer in highly excited benzene and hexafluorobenzene}, + journal = {J. Chem. Phys.}, + volume = {103}, + number = {2}, + pages = {626-641}, + keywords = {collisional energy transfer (CET) +molecular dynamics (MD) +quasiclassical trajectory (QCT) +rotational energy transfer (RET) +vibrational energy transfer (VET) +benzene +hexafluorobenzene}, + year = {1995} +} + + author = {Lesk, A.M.}, + title = {Introduction to Bioinformatics}, + publisher = {Oxford University Press}, + address = {New York}, + keywords = {bioinformatics +computational biology}, + year = {2002} +} + + author = {Leung, Yee and Zhang, Jiang-She and Xu, Zong-Ben}, + title = {Clustering by Scale-Space Filtering}, + journal = {IEEE Transactions on Pattern Analysis and Machine Intelligence}, + volume = {22}, + number = {12}, + pages = {1396}, + abstract = {In pattern recognition and image processing, the major application areas of cluster analysis, human eyes seem to possess a singular aptitude to group objects and find important structures in an efficient and effective way. Thus, a clustering algorithm simulating a visual system may solve some basic problems in these areas of research. From this point of view, we propose a new approach to data clustering by modeling the blurring effect of lateral retinal interconnections based on scale space theory. In this approach, a data set is considered as an image with each light point located at a datum position. As we blur this image, smaller light blobs merge into larger ones until the whole image becomes one light blob at a low enough level of resolution. By identifying each blob with a cluster, the blurring process generates a family of clusterings along the hierarchy. The advantages of the proposed approach are: 1) The derived algorithms are computationally stable and insensitive to initialization and they are totally free from solving difficult global optimization problems. 2) It facilitates the construction of new checks on cluster validity and provides the final clustering a significant degree of robustness to noise in data and change in scale. 3) It is more robust in cases where hyperellipsoidal partitions may not be assumed. 4) It is suitable for the task of preserving the structure and integrity of the outliers in the clustering process. 5) The clustering is highly consistent with that perceived by human eyes. 6) The new approach provides a unified framework for scale-related clustering algorithms recently derived from many different fields such as estimation theory, recurrent signal processing on self-organization feature maps, information theory and statistical mechanics, and radial basis function neural networks. +Index Terms--Hierarchical clustering, scale space theory, cluster validity.}, + keywords = {Pattern recognition Research +Image processing Research +Clustering (Computers) Technique}, + year = {2000} +} + + author = {Lewis, S.W. and Francis, P.S. and Lim, K.F. and Jenkins, G.E.}, + title = {Monitoring urea levels during haemodialysis with a pulsed-flow chemiluminescence analyser}, + journal = {Analytica Chimica Acta}, + volume = {461}, + number = {1}, + pages = {131-139}, + abstract = {We have developed a rapid and robust method for the determination of urea in spent haemodialysis fluid as a measure of the efficiency of haemodialysis treatments. A novel flow analysis instrument (which generates a pulsed solution flow) was coupled with a chemiluminescence detection system, based on the oxidation of urea with hypobromite. The ‘pulsed-flow chemiluminescence analyser’ exhibited high precision (1.6% relative standard deviation (R.S.D.) for a 1 Â¥ 10-5M urea standard, n = 10) and good limit of detection (9 Â¥10-7 M, S/N = 3) as a result of the rapid and reproducible mixing of small volumes of reagent and sample at the point of detection. The proposed chemiluminescence technique and an established urease-based laboratory procedure were compared, and showed a very similar trend for the change in urea concentration during a typical haemodialysis treatment. The relative chemiluminescence response from the oxidation of species with similar structure has revealed the inherent selectivity of the light producing pathway, but a positive interference was obtained from protein when this technique was applied to the determination of urea in serum samples. Arginine was identified as the predominant source of this interference. © 2002 Published by Elsevier Science B.V.}, + keywords = {journal +flow analysis +pulsed flow analysis +chemiluminescence (CL) +urea +pulsed flow +haemodialysis}, + year = {2002} +} + + author = {Lewis, S.W. and Francis, P.S. and Lim, K.F. and Jenkins, G.E. and Wang, X.D.}, + title = {Pulsed flow chemistry: A new approach to solution handling for flow analysis coupled with chemiluminescence detection}, + journal = {Analyst}, + volume = {125}, + number = {10}, + pages = {1869-1874}, + abstract = {Novel instrumentation for flow analysis, coupled with chemiluminescence detection, and based on pulsed flow chemistry is described. The pulsed flow chemistry manifold allows for rapid and efficient mixing of chemiluminescent reagent with sample immediately in front of the detector, thus giving high precision (less than 1 % RSD) and detectability, particularly for rapid, short-lived emissions. The instrument is also characterised by a compact size, high sampling frequency (120 to 300 samples per hour) and low reagent consumption (less than 500 ml per cycle). Other flow analysis modes (eg. flow injection, continuous flow and stopped flow) are available by simply altering software settings. The suitability of the system was shown using chemiluminescence reactions of analytical significance, namely the oxidation of luminol with hexacyanoferrate(III) in the presence of 4-hydroxy-3-methoxybenzeneacetic acid (homovanillic acid), and the reduction of acidic potassium permanganate by morphine in the presence of polyphosphates. The latter reaction was used to determine morphine in aqueous process samples and the results obtained with the pulsed flow instrument displayed good agreement (mean difference of 1.8%) with a previously validated flow injection analysis method.}, + keywords = {journal +flow analysis +pulsed flow analysis +hexacyanoferrate(III); Fe(CN)63– +luminol +4-hydroxy-3-methoxybenzeneacetic acid; homovanillic acid; HVA +potassium permanganate +morphine +polyphosphates +chemiluminescence (CL)}, + year = {2000} +} + +@article{Leydold1998_Mathcomp, + author = {Leydold, J. and H\"ormann, W.}, + title = {A sweep-plane algorithm for generating random tuples in simple polytopes}, + journal = {Mathematics of Computation}, + volume = {67}, + pages = {1617-1635}, + year = {1998} +} + +@incollection{Leydold2001_involume, + author = {Leydold, J. and H\"ormann, W.}, + title = {Universal algorithms as an alternative for generating non-uniform continuous random variates}, + booktitle = {Monte Carlo Simulation}, + editor = {Schuëler, G.I. and Spanos, P.D.}, + publisher = {A. A. Balkema}, + address = {Rotterdam}, + pages = {177-183}, + year = {2001} +} + + author = {Li, H.-X. and Yen, V.C.}, + title = {Fuzzy sets and fuzzy decision-making}, + publisher = {CDC Press}, + address = {Boca Raton}, + year = {1995} +} + + author = {Li, Z. and Scheraga, H.A.}, + title = {Monte Carlo-minimization approach to the multiple-minima problem in protein folding}, + journal = {Proceedings of the National Academy of Science (USA)}, + volume = {84}, + pages = {6611}, + keywords = {journal +National Academy of Sciences (USA) +geometry optimization +protein +met-enkephalin}, + year = {1989} +} + + author = {Liano, K.}, + title = {Robust error measure for supervised neural network learning with outliers}, + journal = {IEEE Trans. on Neural Networks}, + volume = {7}, + number = {1}, + pages = {246-250}, + keywords = {approximation theory +learning (artificial intelligence) +neural nets +influence function +maximum likelihood +mean log squared error +outliers +robust error measure +supervised neural network learning}, + year = {1996} +} + + author = {Liberti, Leo and Kucherenko, Sergei}, + title = {Comparison of deterministic and stochastic approaches to global optimization}, + journal = {International Transactions in Operational Research}, + volume = {12}, + number = {3}, + pages = {285}, + note = {0969-6016}, + year = {2005} +} + +@book{Liberti2006_book, + author = {Liberti, Leo and Maculan, N.}, + title = {Global Optimization. From Theory to Implementation}, + publisher = {Springer}, + address = {New York}, + year = {2006} +} + + author = {Lim, K.F.}, + title = {Comment on "Analytic solution of relaxation in a system with exponential transition probabilities"}, + journal = {J. Chem. Phys.}, + volume = {89}, + number = {9}, + pages = {5964}, + keywords = {collisional energy transfer (CET)}, + year = {1988} +} + + + + +@incollection{Lim2003_ICCS, + author = {Lim, K.F. and Beliakov, G. and Batten, L.M.}, + title = {A new method for locating the global optimum: Application of the cutting angle method to molecular structure prediction}, + booktitle = {Proceedings of the 3rd International Conference on Computational Science}, + series = {Springer-Verlag Lecture Notes in Computer Science (LNCS)}, + publisher = {Springer-Verlag}, + address = {Heidelberg}, + volume = {2660}, + pages = {1040-1049}, + abstract = {Many problems in chemistry depend on the ability to identify the global minimum or maximum of a function. Examples include applications in chemometrics, optimization of reaction or operating conditions, and non-linear least-squares analysis. This paper presents the results of the application of a new method of deterministic global optimization, called the cutting angle method (CAM), as applied to the prediction of molecular geo-metries. CAM is shown to be competitive with other global optimization techniques for several benchmark molecular conformation problem. CAM is a general method that can also be applied to other computational problems involving global minima, global maxima or finding the roots of nonlinear equations.}, + keywords = {global minimum +global optimization +geometry optimization +Melbourne (Australia) +St Petersburg (Russian Federation)}, + year = {2003} +} + +@article{Lim2003_PCCP, + author = {Lim, K.F. and Beliakov, G. and Batten, L.M.}, + title = {Predicting molecular structures: Application of the cutting angle method}, + journal = {Physical Chemistry Chemical Physics}, + volume = {5}, + number = {18}, + pages = {3884-3890}, + abstract = {The ability to predict molecular geometries has important applications in chemistry. Specific examples include the areas of protein space structure elucidation, the investigation of host-guest interactions, the understanding of properties of superconductors and of zeolites. This prediction of molecular geometries often depends on finding the global minimum or maximum of a function such as the potential energy. In this paper, we consider several well-known molecular conformation problems to which we apply a new method of deterministic global optimization called the Cutting Angle Method. We demonstrate that this method is competitive with other global optimization techniques for these molecular conformation problems.}, + keywords = {journal +molecular mechanics (MM) +molecular modelling +molecular structure +protein +global minimum +global optimization +cutting angle method +potential energy surface (PES) +ECEPP force field +geometry optimization}, + year = {2003} +} + + author = {Lim, K.F. and Brauman, J.I.}, + title = {Reaction dynamics on barrierless reaction surfaces: a model for isoergic gas-phase proton-transfer reactions}, + journal = {J. Chem. Phys.}, + volume = {94}, + number = {11}, + pages = {7164-7180}, + keywords = {methanol + methoxide reaction +barrierless reaction surfaces +molecular dynamics (MD) +quasiclassical trajectory (QCT) +multiple transition states +entropic bottlenecks}, + year = {1991} +} + + author = {Lim, K.F. and Brauman, J.I.}, + title = {Rotational enhancement of the proton-transfer barrier for ion-molecule reactions on a double-minimum surface}, + journal = {Chem. Phys. Lett.}, + volume = {177}, + number = {3}, + pages = {326-330}, + keywords = {journal +methanol + methoxide reaction +barrierless reaction surfaces}, + year = {1991} +} + + author = {Lim, K.F. and Collins, Michael Ambrose}, + title = {Some advantages of infrared overtone spectroscopy}, + journal = {Australian Journal of Education in Chemistry}, + volume = {61}, + pages = {17-19 and 29}, + keywords = {chemical education +teaching / learning aids +teaching and learning +laboratory instruction +hydrogen chloride (HCl) +carbon monoxide (CO) +vibrational spectroscopy +infrared (IR) spectroscopy +overtone spectroscopy +rovibrational spectroscopy +Fourier-transform infrared (FTIR) spectroscopy}, + year = {2003} +} + + author = {Lim, K.F. and Gilbert, R.G.}, + title = {The a priori calculation of collisional energy transfer in highly vibrationally excited molecules: the biased random walk theory}, + journal = {J. Chem. Phys.}, + volume = {84}, + number = {11}, + pages = {6129-6140}, + keywords = {azulene +collisional energy transfer (CET) +biased random walk (BRW) model}, + year = {1986} +} + + author = {Lim, K.F. and Gilbert, R.G.}, + title = {Calculation of collisional energy transfer rates in highly excited molecules}, + journal = {J. Phys. Chem.}, + volume = {94}, + number = {1}, + pages = {72-77}, + keywords = {collisional energy transfer (CET) +molecular dynamics (MD) +quasiclassical trajectory (QCT)}, + year = {1990} +} + + author = {Lim, K.F. and Gilbert, R.G.}, + title = {Modelling collisional energy transfer in highly excited molecules}, + journal = {J. Chem. Phys.}, + volume = {92}, + number = {3}, + pages = {1819-1830}, + keywords = {biased random walk (BRW) model +collisional energy transfer (CET)}, + year = {1990} +} + + author = {Lim, K.F. and Gilbert, R.G.}, + title = {Trajectory simulations of collisional energy transfer of highly vibrationally excited azulene}, + journal = {J. Phys. Chem.}, + volume = {94}, + number = {1}, + pages = {77-84}, + keywords = {azulene; helium; neon; argon; krypton; xenon; collisional energy transfer (CET) +molecular dynamics (MD) +quasiclassical trajectory (QCT)}, + year = {1990} +} + + author = {Lim, K.F. and Gilbert, R.G. and Brown, T.C. and King, K.D.}, + title = {Collisional energy transfer in highly vibrationally excited molecules: a very low-pressure pyrolysis study of acetyl chloride}, + journal = {Int. J. Chem. Kinet.}, + volume = {19}, + number = {4}, + pages = {373-389}, + keywords = {collisional energy transfer (CET)}, + year = {1987} +} + + author = {Lim, K.F. and Keir, R.I.}, + title = {Reaction dynamics on barrierless reaction surfaces. II: Microcanonical variational transition states}, + journal = {J. Chem. Phys.}, + volume = {97}, + number = {2}, + pages = {1072-1078}, + keywords = {methanol + methoxide reaction +barrierless reaction surfaces +multiple transition states +microcanonical variational transition state theory (mVTST) +entropic bottlenecks}, + year = {1992} +} + + author = {Lim, K.F. and Kendle, A.}, + title = {IT skills of university first year undergraduate students: Two 2001 matriculation cohorts}, + journal = {UniServe Science News}, + volume = {18}, + number = {October 2001}, + abstract = {The use of computers is becoming more widespread in education and in the wider Australian community. This communication reports the results of surveys of two cohorts of first year undergraduate students at The University of Western Australia and Deakin University, conducted at the beginning of the 2001 academic year. The surveys confirm that general IT skills among students are increasing, but that the level of skill is variable. This is consistent with a similar survey at Deakin University which was conducted at the beginning of 2000 [Lim, K. F. and Lee, J. (2000) IT skills of university undergraduate students enrolled in a first year unit, Australian Journal of Educational Technology, 16, 215 http://cleo.murdoch.edu.au/ajet/ajet16/res/lim.html].}, + keywords = {Information technology skills; IT skills +education +UniServe Science +journal}, + year = {2001} +} + + author = {Lim, K.F. and Kendle, A.}, + title = {IT skills of university students in 2001}, + booktitle = {Proceedings of Research and Development into University Science Teaching and Learning Workshop}, + editor = {Fernandez, A.}, + publisher = {UniServe Science}, + address = {Sydney}, + pages = {63-66}, + keywords = {Information technology skills; IT skills +education +UniServe Science +conference}, + year = {2001} +} + + author = {Lim, K.F. and Kendle, A.}, + title = {Computer and IT skills of Australian first-year university undergraduate students}, + journal = {Chemical Education Journal}, + volume = {5}, + number = {2}, + pages = {Paper 5—24}, + abstract = {The use of computers and information technology is becoming more widespread in chemical education and in the wider community and workforce. Universities are increasing the use of computers and information technology in their teaching and learning programs. The Australian situation, reported here, can be viewed as a microcosm, reflecting a world-wide trend. +The penetration of general IT literacy and ability amongst Australian undergraduate students is rising rapidly. This paper reports surveys of the detailed IT skills of Australian undergraduate students. To the best of our knowledge, apart from our own work, there have been no other published surveys of specific IT skills. Most students have some reasonable computer skills at the start of their university studies, but the level of skill is not uniformly high. In fact, many IT literate students lack a sufficient level of skill to use the new technologies, including full use of web-based flexible learning. There is an urgent need for IT training for university students in order to achieve successful learning outcomes using IT and to satisfy the needs of future employers. +This article, which is the second in a series of investigations on the computer skills of undergraduate students at the start of university, is an expanded version of a paper presented at the World Chemistry Congress held in Brisbane (Australia) during 1-6 July 2001.}, + keywords = {chemical education +Chemical Education Research +Teaching / Learning Aids +Computers in Chemistry +IT literacy +IT skills +CSSJ School of Chemistry +Division of the Chemical Software Society of Japan}, + year = {2002} +} + + author = {Lim, K.F. and Lee, J.}, + title = {IT skills of students enrolled in a first-year undergraduate unit}, + journal = {Aust. J. Educ. Tech.}, + volume = {16}, + number = {3}, + pages = {215-238}, + abstract = {The use of computers is becoming more widespread in education and in the wider workforce. This communication reports the results of a survey of first-year undergraduate students at Deakin University, conducted at the beginning of the 2000 academic year. The high penetration of IT usage in this university sample is similar to that of a recent survey of school students conducted by Meredyth et al. [Real Time: Computers, Change and Schooling, DETYA, Canberra, 1999]. The present study indicates that the level of IT skills is variable. There is an urgent need for IT training for university students in order to achieve successful learning outcomes using IT and to satisfy the needs of future employers.}, + keywords = {Australian Journal of Educational Technology (AJET) +Australasian Society for Computers in Learning in Tertiary Education (ASCILITE) +Australian Society for Educational Technology (ASET) +Information technology skills; IT skills +education}, + year = {2000} +} + + author = {Lim, K.F. and Lim, J.M. and Lee, J.}, + title = {'Why I cannot do physical chemistry'}, + booktitle = {Conference on Physical Chemistry}, + address = {Christchurch, New Zealand}, + abstract = {“I cannot do physical chemistry” is a common refrain as university students around the world experience difficulties learning physical chemistry. Recent research indicates that successful learning outcomes are related more to students’ logical thinking skills, than to any other factors, including their previous chemistry knowledge and mathematical ability [1]. + +This paper argues that the traditional textbook approach is inappropriate for the learning styles of many students, who experience learning difficulties: +• the “standard” problem in physical chemistry is actually a non-standard problem in the overall context of chemical and science education [2]; and +• the use of “Mathematical English” [3]. +Alternative teaching approaches, using tables [4], diagrams [5] and concept maps will be presented. The relationship of these alternative approaches to current models of learning will be discussed [6]. + +[1] G. Nicoll and J. S. Francisco, J. Chem. Educ., 2001, 78, 99 . +[2] D. Rickey and A. M. Stacy, J. Chem. Educ., 2000, 77, 915 +. +[3] eg, D. Hathwell and A. W. K. Metzner (ed.), Style Manual, +American Institute of Physics, New York, 3rd Edn., 1978. +[4] K. F. Lim, "A tabular approach to titration calculations", +submitted to J. Chem. Educ., 2001. +[5] B. Davidowitz and M. Rollnick, paper presented at World Chemistry Congress, Brisbane (Qld), 2001; B. Davidowitz and M. Rollnick, paper presented at CONASTA 50 "Enriching Science Education - A Golden Opportunity": The 50th conference of the Australian Science Teachers' Association, Sydney, 2001 . +[6] eg, E. de Bono, Teach Your Child How to Think, Viking, London, 1992; D. Markova and A. R. Powell, How Your Child IS Smart, Conari Press, Berkeley (CA), 1992; H. L. Bee, The Developing Child, 8th Edn., Longman, New York, 1997; D. M. McInerney and V. McInerney, Educational Psychology: Constructing knowledge, 2nd Edn., Prentice Hall, Sydney, 1998.}, + keywords = {Royal Australian Chemical Institute (RACI) +Royal Society of Chemistry (RSC) +New Zealand Institute of Chemistry (NZIC) +chemical education +child development +child psychology +teaching and learning}, + year = {2002} +} + + author = {Lim, K.F. and McCormack, D.A.}, + title = {The conservation of quantum zero-point energies in classical trajectory simulations}, + journal = {J. Chem. Phys.}, + volume = {102}, + number = {4}, + pages = {1705-1715}, + note = {P540.5/JOU}, + keywords = {molecular dynamics (MD) +ZPE preservation +constrained mechanics +Hénon-Heiles system +trajectory projection onto ZPE (TRAPZ) method}, + year = {1995} +} + + author = {Lin, X. and Floudas, C. A.}, + title = {Design, synthesis and scheduling of multipurpose batch plants via an effective continuous-time formulation}, + journal = {Computers and Chemical Engineering}, + volume = {25}, + number = {4-6}, + pages = {665-674}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Floudas CA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA 0019 Comput. Chem. Eng}, + abstract = {Design, synthesis and scheduling issues are considered simultaneously for multipurpose batch plants. An earlier proposed continuous-time formulation for scheduling is extended to incorporate design and synthesis. Processing recipes are represented by the State-Task Network (STN). The superstructure of all possible plant designs is constructed according to the potential availability of all processing/storage units. The proposed model takes into account the trade-offs between capital costs, revenues and operational flexibility. Computational studies are presented to illustrate the effectiveness of the proposed formulation. Both linear and nonlinear models are included, resulting in MILP and mixed-integer nonlinear programming (MINLP) problems. respectively. The MILP problems are solved using a branch and bound method. Globally optimal solutions are obtained for the nonconvex MINLP problems based on a key property that arises due to the special structure of the resulting models. Comparisons with earlier approaches are also presented. (C) 2001 Elsevier Science Ltd. All rights reserved. [References: 19] 19}, + keywords = {Design and scheduling. Multipurpose batch process. Continuous-time +formulation. Milp. Minlp. +Differentiable constrained nlps. Global optimization method. Alpha-bb. +Chemical Engineering in Current Contents(R)/Engineering, Computing and +Technology. +2001 week 22}, + year = {2001} +} + +@article{Ling1965, + author = {Ling, C.M.}, + title = {Representation of associative functions}, + journal = {Publ. Math. Debrecen}, + volume = {12}, + pages = {189-212}, + year = {1965} +} + + author = {Linge, J.P. and O'Donoghue, S.I. and Nilges, M.}, + title = {Automated assignment of ambiguous nuclear Overhauser effects with ARIA}, + journal = {Methods Enzymol.}, + volume = {339}, + pages = {71-90}, + year = {2001} +} + + author = {Linhananta, A. and Lim, K.F.}, + title = {Quasiclassical trajectory calculations of collisional energy transfer: The methyl internal rotor in ethane}, + journal = {Phys. Chem. Chem. Phys.}, + volume = {1}, + number = {15}, + pages = {3467-3472}, + keywords = {classical trajectory (CT) +collisional energy transfer (CET) +ethane; C2H6 +methyl; CH3 +quasiclassical trajectory (QCT) +journal +molecular dynamics (MD) +rotational energy transfer (RET) +vibrational energy transfer (VET)}, + year = {1999} +} + + author = {Linhananta, A. and Lim, K.F.}, + title = {Quasiclassical trajectory calculations of collisional energy transfer in propane systems}, + journal = {Phys. Chem. Chem. Phys.}, + volume = {2}, + number = {7}, + pages = {1385-1392}, + abstract = {Quasiclassical trajectory calculations of collisional energy transfer (CET) and rotational energy transfer from highly vibrationally excited propane to rare bath gases are reported. The calculations employed atom-atom pairwise-additive Lennard-Jones, Buckingham-exponential and hard-sphere intermolecular potentials to examine the dependence of CET on the intermolecular potential and to establish a protocol for future work on larger alkane systems. The role of the torsional (internal) and molecular (external) rotors in the energy-transfer mechanism were investigated. Comparison of the results with our earlier work on ethane+neon systems [Phys. Chem. Chem. Phys. 1999, 1, 3467] suggests that the internal and external rotors play a significant role in the deactivation mechanism for highly vibrationally excited alkanes.}, + keywords = {classical trajectory (CT) +collisional energy transfer (CET) +propane; C3H8 +methyl; CH3 +quasiclassical trajectory (QCT) +journal +molecular dynamics (MD) +rotational energy transfer (RET) +vibrational energy transfer (VET)}, + year = {2000} +} + + author = {Linhananta, A. and Lim, K.F.}, + title = {Quasiclassical trajectory calculations of collisional energy transfer in propane systems: Multiple direct-encounter hard-sphere model}, + journal = {Physical Chemistry Chemical Physics}, + volume = {4}, + number = {4}, + pages = {577-585}, + abstract = {Quasiclassical trajectory calculations of collisional energy transfer from highly vibrationally excited propane + rare gas systems are reported. This work extends our hard-sphere model (A. Linhananta and K. F. Lim, Phys. Chem. Chem. Phys., 2000, 2, 1385) to examine the variation of the internal energy during collisions with a rare bath gas. This was accomplished by recording the vibrational and rotational energy of propane after each atom–atom encounter during trajectory simulations of propane + rare gas systems. This provides detailed information of the energy flow during a collision. It was found that collisions with small number of encounters transfer energy efficiently, whereas those with many encounters do not. Detailed analyses reveal that the former collisions arise from trajectories with high initial impact parameter, whereas the latter have small initial impact parameter. The reason behind this is the dependence of collision energy transfer (CET) of large polyatomic molecules on their shape. This is connected to the well-known role of rotational energy transfer (RET) as a gateway for CET.}, + keywords = {classical trajectory (CT) +collisional energy transfer (CET) +propane; C3H8 +methyl; CH3 +quasiclassical trajectory (QCT) +journal +molecular dynamics (MD) +rotational energy transfer (RET) +vibrational energy transfer (VET)}, + year = {2002} +} + + author = {Lipkowitz, K.B. and Boyd, D.B.}, + title = {Reviews in Computational Chemistry}, + publisher = {Wiley-VCH}, + address = {New York}, + volume = {1-18}, + keywords = {standard review}, + year = {1990-2001} +} + + author = {Liu, Chih-Wen and Liu, Chun-Chang and Hsiao, Ying-Tung and Jwo, Wu-Shun}, + title = {A fast global optimization approach to VAR planning for the large scale electric power systems}, + journal = {IEEE Transactions on Power Systems}, + volume = {12}, + number = {1}, + pages = {p437(7)}, + abstract = {In this paper, an innovative fast global optimization technique, Hybrid Partial Gradient Descent/Simulated Annealing(HPGDSA), for optimal VAR planning is presented. The HPGDSA is introduced to search the global optimal solution considering both quality and speed at the same time. The basic idea of the HPGDSA is that partial gradient descent and simulated annealing alternate with each other such that it reduces the CPU time of the conventional Simulated Annealing(SA) method while retaining the main characteristics of SA, i.e., the ability to get the global optimal solution. The HPGDSA was applied to a practical power system, Taiwan Power System(Tai-Power System), with satisfactory results.}, + keywords = {Electric power systems Models +Electric power production Planning +Mathematical optimization Technique}, + year = {1997} +} + + author = {Liu, Q. and Cao, Z.Q. and Shen, Q. and Dou, X. and Chen, Y.}, + title = {Analysis of planar waveguides with index discontinuity or index slope discontinuity}, + journal = {Optical and Quantum Electronics}, + volume = {33}, + pages = {675-683}, + year = {2001} +} + + author = {Liu, W. B. and Floudas, C. A.}, + title = {Generalized Primal-Relaxed Dual Approach for Global Optimization}, + journal = {Journal of Optimization Theory and Applications}, + volume = {90}, + number = {2}, + pages = {417-434}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Liu WB UNIV KENT INST MATH and STAT CANTERBURY KENT ENGLAND PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0010}, + abstract = {A generalized primal-relaxed dual algorithm for global optimization is proposed and its convergence is proved. The (GOP) algorithm of Floudas and Visweswaran (Refs. 1-2) is shown to be a special case of this general algorithm. Within the proposed framework, the algorithm of Floudas and Visweswaran (Refs. 1-2) is further extended to the nonsmooth case. A penalty implementation of the extended (GOP) algorithm is studied to improve its efficiency. [References: 18] 18}, + keywords = {Global optimization. Primal-relaxed dual approach. Penalty methods. +Nonsmooth optimization. +Gop algorithm. +Mathematics. +Reprint available from: Liu WB. UNIV KENT, INST MATH and STAT, CANTERBURY, +KENT.}, + year = {1996} +} + +@article{Liu2005_IJGS, + author = {Liu, X.}, + title = {On the properties of equidifferent {RIM} quantifier with generating function}, + journal = {Int. J. General Syst}, + volume = {34}, + pages = {579-594}, + year = {2005} +} + +@article{Liu2006_IJARa, + author = {Liu, X.}, + title = {On the properties of equidifferent {OWA} operator }, + journal = {Int. J. Approx. Reasoning}, + volume = {43}, + pages = {90-107}, + year = {2006} +} + +@article{Liu2006_IJAR, + author = {Liu, X.}, + title = {The solution equivalence of minimax disparity and minimum variance problems for {OWA} operators}, + journal = {Int. J. Approx. Reasoning}, + volume = {45}, + pages = {68-81}, + year = {2007} +} + +@article{Liu2004_IJAR, + author = {Liu, X. and Chen, L.}, + title = {On the properties of parametric geometric {OWA} operator }, + journal = {Int. J. Approx. Reasoning}, + volume = {35}, + pages = {163-178}, + year = {2004} +} + + author = {Liu, X. W. and Lou, H. W.}, + title = {On the equivalence of some approaches to the OWA operator and RIM quantifier determination}, + journal = {Fuzzy Sets and Systems}, + volume = {159}, + number = {13}, + pages = {1673-1688}, + note = {ISI Document Delivery No.: 314PD +Times Cited: 0 +Cited Reference Count: 35 +Liu, Xinwang Lou, Hongwei +ELSEVIER SCIENCE BV}, + abstract = {The ordered weighted averaging (OWA) operator is a widely used aggregation method, and its determination is usually a prerequisite step in many related applications. The regular increasing monotone (RIM) quantifier can be seen as the continuous case of the OWA operator with the quantifier aggregation method. Some approaches with optimization criteria for the determination of OWA operator and RIM quantifier were proposed. Although these problems look different at the first sight, a deeper investigation can reveal the equivalence of solutions between them. Inspired by the solution equivalence of minimum variance problems and minimax disparity problem for OWA operator, we propose the minimax disparity RIM quantifier problem and two minimax ratio problems for OWA operator and RIM quantifier, respectively. We investigate the equivalence of solutions for the maximum entropy and minimax ratio problems, and solutions for the minimum variance and minimax disparity problems of OWA operator and RIM quantifier, respectively, by a theoretical point of view. (C) 2007 Elsevier B.V. All rights reserved.}, + keywords = {aggregation operator +OWA operator +RIM quantifier +maximum entropy +minimum variance +minimax disparity +minimax ratio +DECISION-MAKING +MINIMAX DISPARITY +WEIGHTS +AGGREGATION +UNCERTAINTY +WORDS}, + year = {2008} +} + + author = {Liwo, Adam and Lee, Jooyoung and Ripoll, Daniel R. and Pillardy, Jaroslaw and Scheraga, Harold A.}, + title = {Protein structure prediction by global optimization of a potential energy function}, + journal = {Proceedings of the National Academy of Sciences of the United States}, + volume = {96}, + number = {10}, + pages = {5482(4)}, + abstract = {An approach based exclusively on finding the global minimum of an appropriate potential energy function has been used to predict the unknown structures of five globular proteins with sizes ranging from 89 to 140 amino acid residues. Comparison of the computed lowest-energy structures of two of them (HDEA and MarA) with the crystal structures, released by the Protein Data Bank after the predictions were made, shows that large fragments (61 residues) of both proteins were predicted with rms deviations of 4.2 and 6.0 [Angstrom] for the [C.sup.[Alpha]] atoms, for HDEA and MarA, respectively. This represents 80% and 53% of the observed structures of HDEA and MarA, respectively. Similar rms deviations were obtained for [approximately]60-residue fragments of the other three proteins. These results constitute an important step toward the prediction of protein structure based solely on global optimization of a potential energy function for a given amino acid sequence.}, + keywords = {Proteins Structure +Amino acids Research}, + year = {1999} +} + + author = {Lo, Chihsiung and Papalambros, P. Y.}, + title = {A convex cutting plane algorithm for global solution of generalized polynomial optimal design models}, + journal = {Journal of Mechanical Design}, + volume = {118}, + number = {1}, + pages = {p82(7)}, + abstract = {Global optimization algorithms for generalized polynomial design models using a global feasible search approach was discussed in a previous article. A new convex cutting plane algorithm (CONCUT) based on global feasible search and with improved performance is presented in this sequel article. Computational results of the CONCUT algorithm compared to one using linear cuts (LINCUT) are given for various test problems. A speed reducer design example illustrates the application of the algorithms.}, + keywords = {Convex surfaces Research +Polynomials Research +Structural optimization Research}, + year = {1996} +} + + author = {Lo, Chihsiung and Papalambros, P. Y.}, + title = {A deterministic global design optimization method for nonconvex generalized polynomial problems}, + journal = {Journal of Mechanical Design}, + volume = {118}, + number = {1}, + pages = {p75(7)}, + abstract = {A new design optimization method is described for finding global solutions of models with a nonconvex objective function and nonlinear constraints. All functions are assumed to be generalized polynomials. By introducing new variables, the original model is transformed into one with a linear objective function, one convex and one reversed convex constraint. A two-phase algorithm that includes global feasible search and local optimal search is used for globally optimizing the transformed model. Several examples illustrate the method.}, + keywords = {Polynomials Research +Structural optimization Research}, + year = {1996} +} + +@article{Locatelli2002_COA, + author = {Locatelli, M. and Schoen, F.}, + title = {Fast global optimization of difficult Lennard-Jones clusters}, + journal = {Computational Optimization and Applications}, + volume = {21}, + pages = {55-70}, + year = {2002} +} + +@article{Loose2006_nature, + author = {Loose, C. and Jensen, K. and Rigoutsos, I. and Stephanopoulos, G.}, + title = {A linguistic model for the rational design of antimicrobial peptides}, + journal = {Nature}, + volume = {443}, + pages = {867-869 }, + year = {2006} +} + + author = {Luenberger, David G.}, + title = {Optimization by vector space methods}, + publisher = {Wiley}, + address = {New York,}, + series = {Series in decision and control.}, + note = {[by] David G. Luenberger. +Bibliography: p. 312-319.}, + keywords = {Mathematical optimization. +Vector spaces. +Linear topological spaces.}, + year = {1968} +} + +@article{Luescher1994_ranlux, + author = {Luescher, M.}, + title = {A portable high-quality random number generator for lattice field theory calculations}, + journal = {Computer Physics Communications}, + volume = {79}, + pages = {100-110}, + year = {1994} +} + +@book{Luneburg1964, + author = {Luneburg, R.K.}, + title = {Mathematical theory of optics}, + publisher = {University of California Press}, + address = {Berkeley}, + year = {1964} +} + +@article{Luxburg2004_JMLR, + author = {Luxburg, U. and Bousquet, O.}, + title = {Distance-based classification with Lipschitz functions}, + journal = {J. of Machine Learning Research}, + volume = {5}, + pages = {669-695}, + year = {2004} +} + + author = {Luyben, M. L. and Floudas, C. A.}, + title = {Analyzing the Interaction of Design and Control. 1. A Multiobjective Framework and Application to Binary Distillation Synthesis}, + journal = {Computers and Chemical Engineering}, + volume = {18}, + number = {10}, + pages = {933-969}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0006}, + abstract = {The design of a process determines the properties of variable interaction, disturbance rejection, and set-point tracking which comprise its inherent controllability. Process synthesis usually focuses on optimizing an economic objective without consideration of controllability. This paper outlines and illustrates a systematic procedure for incorporating open-loop steady-state controllability measures within the mathematical programming approach of process synthesis. This approach translates a superstructure of design alternatives into a multiobjective mixed-integer nonlinear (MINLP) optimization problem. With the flowsheet unknown a priori, the formulation requires expressions for the steady-state economic and control objectives in terms of the unknown design variables. Use of the epsilon-constraint method within the framework of the Generalized Benders Decomposition algorithm generates the noninferior solution set. A multiobjective optimization algorithm based on cutting planes determines a best-compromise solution among the various design and control objectives using as trade-off weights the partial derivative information from the noninferior set. The proposed procedure is then applied in binary distillation synthesis to consider multiple objectives for the RV control configuration, to examine different control configurations, and to deal with heat-integrated columns. Closed-loop dynamic simulations compare the responses of columns identified in the optimization. [References: 52] 52}, + keywords = {Resilient processing plants. Dynamic optimization. Chemical-plants. +Columns. Reactors. +Chemical. +Reprint available from: Floudas CA. PRINCETON UNIV, DEPT CHEM ENGN, +PRINCETON, NJ 08544, USA.}, + year = {1994} +} + + author = {Luyben, M. L. and Floudas, C. A.}, + title = {Analyzing the Interaction of Design and Control. 2. Reactor Separator Recycle System}, + journal = {Computers and Chemical Engineering}, + volume = {18}, + number = {10}, + pages = {971-994}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0007}, + abstract = {Part 1 presented a systematic procedure to analyze the interaction of design and control at the process synthesis stage by incorporating both steady-state economic and open-loop controllability measures within a multiobjective mixed-integer nonlinear optimization problem. Part 2 applies this framework to study the design of a system consisting of an isothermal reactor followed by a distillation column, whose distillate stream recycles back to the reactor. For this particular flowsheet, the resulting optimization can be written as a nonlinear programming (NLP) problem. A comparison of alternative designs shows that leaving the reactor and recycle stream compositions as variables in the NLP significantly reduces the cost compared with the cost of designs when these compositions are fixed. Economic considerations drive the optimal solution toward a larger reactor with lower reactant composition and toward a stripper column with lower vapor boilup. The derivation of steady-state gain expressions relating the product compositions in the column to manipulated and disturbance variables allows the incorporation of controllability measures within the NLP. Generation of the noninferior solution sets shows the quantitative trade-off between the steady-state economic and controllability objectives. In general, process controllability measures improve as the reactor holdup decreases and as the number of trays in the column increases, but the opposite changes improve the disturbance controllability measures. Closed-loop dynamic simulations compare the responses of several designs identified in the optimization. [References: 19] 19}, + keywords = {Dynamics. +Chemical. +Reprint available from: Floudas CA. PRINCETON UNIV, DEPT CHEM ENGN, +PRINCETON, NJ 08544, USA.}, + year = {1994} +} + +@article{LSch1973, + author = {Lyche, Tom and Schumaker, Larry L.}, + title = {Computation of Smoothing and Interpolating Natural Splines Via Local Bases}, + journal = {SIAM Journal on Numerical Analysis}, + volume = {10}, + number = {6}, + pages = {1027-1038}, + abstract = {It is shown how smoothing splines can be represented in terms of a local basis, and that the coefficients can be obtained by solution of a banded linear system. Recursion relations are developed which permit rapid and accurate calculation of the necessary basis elements.}, + year = {1973} +} + +@article{Lyche1973, + author = {Lyche, T. and Schumaker, L.L.}, + title = {Computation of smoothing and interpolating naturel splines via local bases}, + journal = {SIAM J. Numer. Anal.}, + volume = {10}, + pages = {1027-1038}, + year = {1973} +} + +@article{LSch1974, + author = {Lyche, Tom and Schumaker, Larry L.}, + title = {Procedures for computing smoothing and interpolating natural splines}, + journal = {Commun. ACM}, + volume = {17}, + number = {8}, + pages = {463-467}, + year = {1974} +} + + author = {Machida, Katsunosuke}, + title = {Principles of Molecular Mechanics}, + publisher = {Wiley}, + address = {New York}, + keywords = {Molecular structure +molecular mechanics (MM) +molecular modelling +potential energy surface (PES) +simulation +computers in chemistry +chemistry +computational chemistry}, + year = {1999} +} + +@article{Mackey1977_science, + author = {Mackey, M.C. and Glass, L.}, + title = {Oscillation and Chaos in Physiological Control Systems}, + journal = {Science}, + volume = {197}, + pages = {287-289}, + year = {1977} +} + +@inproceedings{Maes2005_EUSFLAT, + author = {Maes, K. and Saminger, S. and De Baets, B.}, + title = {On the characterization of self-dual aggregation operators}, + booktitle = {EUSFLAT 2005}, + editor = {Montseny, E. and Sobrevilla, P.}, + address = {Barcelona, Spain}, + publisher = {European Society for Fuzzy Logic and Technology}, + pages = {159--164}, + year = {2005} +} + + author = {Makela, M.M. and Neittaanmaki, P.}, + title = {Nonsmooth Optimization: Analysis and Algorithms With Applications to Optimal Control}, + publisher = {World Scientific}, + address = {River Edge, NJ}, + year = {1992} +} + +@misc{GLPK, + author = {Makhorin, A.}, + title = {GNU Linear Programming Kit}, + volume = {2004}, + year = {2004} +} + +@article{Mammadov2007_OMS, + author = {Mammadov, M. and Rubinov, A. and Yearwood, J.}, + title = {The study of drug–reaction relationships using global optimization techniques}, + journal = {Optimization Methods and Software}, + volume = {22}, + pages = {99-126}, + year = {2007} +} + +@inproceedings{Mammadov2004_ICOTA, + author = {Mammadov, M.A. }, + title = {A new global optimization algorithm based on dynamical systems approach}, + booktitle = {6th Intl Conf. on Optimization: Techniques and Applications}, + editor = {Rubinov, A. and Sniedovich, M.}, + address = {Ballarat}, + publisher = {University of Ballarat}, + year = {2004} +} + +@article{Mammadov2005_PJO, + author = {Mammadov, M.A. and Orsi, R.}, + title = {H_infinity systhesis via a nonsmooth, nonconvex optimization approach}, + journal = {Pacific Journal of Optimization}, + volume = {1}, + pages = {405-420}, + year = {2005} +} + +@incollection{Mammadov2005_involume, + author = {Mammadov, M.A. and Rubinov, A. and Yearwood, J.}, + title = {Dynamical systems described by relational elasticities with applications to global optimization}, + booktitle = {Continuous Optimisation: Current Trends and Modern Applications}, + editor = {Rubinov, A. and Jeyakumar, V.}, + publisher = {Springer}, + address = {New York}, + pages = {365-385}, + year = {2005} +} + + author = {Mangasarian, O. L.}, + title = {Mathematical programming in neural networks}, + journal = {ORSA Journal on Computing}, + volume = {5}, + pages = {349--360}, + year = {1993} +} + + author = {Mannhold, R. and Kubinyi, H. and Folkers, G. and Zerbe, O.}, + title = {BioNMR in Drug Research}, + publisher = {Wiley}, + note = {Table of Contents: +BASIC TECHNIQUES +Modern Methods for Expression of Proteins in Isotopically Enriched Form +Structure Calculation Using Automated Techniques +Achieving Better Sensitivity, Less Noise and Less Artifacts in NMR Spectra +NMR OF BIOMOLECULES +NMR Strategies for Protein Assignment +NMR of Membrane-Associated Peptides and Proteins +NMR of Nucleic Acids +MODERN SPECTROSCOPIC TECHNIQUES +Methods for the Measurement of Angle Restraints from Scalar and Dipolar Couplings as well as from Cross Correlated Relaxation: Application to Biomolecules +Orientational Restraints +Scalar Coupling Across Hydrogen Bonds +TROSY:Transverse Relaxation-Optimized Spectroscopy +MAS Solid-State NMR of Isotopically Enriched Biological Samples +Determination of Protein Dynamics Using 15N Relaxation Measurements +TOOLS FOR INVESTIGATION OF DRUG-RECEPTOR COMPLEXES AND FOR LIGAND SCREENING +The Determination of Equilibrium Dissociation Constants of Protein-Ligand Complexes by NMR +Experiments in NMR-based Screening +The Use of Spin-Labels in NMR-supported Lead Finding and Optimization +NMR of Weakly Binding Ligands +Isotope Filter and Editing Techniques +STRATEGIES FOR DRUG DEVELOPMENT USING NMR +Strategies for NMR Screening and Library Design +Strategies for Hit Finding Using NMR +Strategies for Drug Discovery Using NMR +NMR-based Drug Design: Approaches for Very Large Proteins}, + abstract = {Thanks to the vast progress made in the investigation of biomolecules using NMR over the last few years, NMR spectroscopy offers a universal tool for examining the binding of an active substance to its target protein. Its use thereby benefits the rational development of drugs. This interaction can now be investigated in a hitherto unparalleled precision and displayed in 3D - an important prerequisite for the targeted development of new active substances. Thus it comes as no surprise that a large number of the authors are working for leading pharmaceutical companies. The book presents the theoretical background on NMR of biomolecules, plus the use of NMR techniques in determining the structures of proteins and nucleic acids. The latest methods for characterizing substance-receptor complexes are demonstrated backed by many case studies from pharmaceutical research. + +With its successful mixture of basic information and application strategies, coupled with many real-life examples, this is an invaluable guide for both NMR spectroscopists and pharmaceutical researchers.}, + keywords = {protein +nuclear magnetic resonance (NMR) +drug}, + year = {2003} +} + + author = {Maranas, C.D. and Androulakis, I.P. and Floudas, C.A.}, + title = {A deterministic global optimization approach for the protein folding problem}, + booktitle = {Global Minimization of Nonconvex Energy Functions: Molecular Conformation and Protein Folding}, + editor = {Pardalos, P. M. and Shalloway, D. and Xue, G.}, + series = {DIMACS Series in Discrete Mathematics and Theoretical Computer Science}, + publisher = {American Mathematical Society}, + volume = {23}, + pages = {133-150}, + abstract = {A deterministic global optimization algorithm is proposed for locating the global minimumpotential energy conformations of oligopeptide chains. The ECEPP/3 detailed potential energy model is utilized to model the energetics of the atomic interactions. The minimization of the total potential energy is formulated on the set of peptide dihedral angles. Based on previous work on the microcluster and molecular structure determination, a procedure for deriving convex lower bounding functions for the total potential energy function is utilized which involves a number of important properties. The global optimization algorithm alpha-BB which has been shown to be epsilon-{convergent to the global minimum potential energy conformation through the solution of a series of nonlinear convex optimization problems is utilized. The ECEPP/3 potential model is interfaced with alpha-BB in the program GLOFOLD, and provisions have been made to accommodate user specified partitioning of the dihedral angles into three sets. The first one (i.e., global variables), consists of dihedral angles where branching occurs. The second set (i.e., local variables) includes the dihedral variables where branching is not necessary. The third set, (i.e., fixed variables) includes the dihedral angles which are kept fixed. The proposed deterministic global optimization is applied on a number of oligopeptide folding problems.}, + keywords = {American Mathematical Society (AMS) +global optimization}, + year = {1996} +} + + author = {Maranas, C. D. and Androulakis, I. P. and Floudas, C. A. and Berger, A. J. and Mulvey, J. M.}, + title = {Solving Long-Term Financial Planning Problems Via Global Optimization}, + journal = {Journal of Economic Dynamics and Control}, + volume = {21}, + number = {8-9}, + pages = {1405-1425}, + note = {Current Contents/Social and Behavioral Sciences +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CIVIL ENGN and OPERAT RES PRINCETON, NJ 08544 USA}, + abstract = {A significant multi-stage financial planning problem is posed as a stochastic program with decision rules. The decision rule - called dynamically balanced - requires the purchase and sale of assets at each time stage so as to keep constant asset proportions in the portfolio composition. It leads to a nonconvex objective function. We show that the rule performs well as compared with other dynamic investment strategies. We specialize a global optimization algorithm for this problem class - guaranteeing finite E-optimal convergence. Computational results demonstrate the procedure's efficiency on a real-world financial planning problem. The tests confirm that local optimizers are prone to erroneously underestimate the efficient frontier. The concepts can be readily extended for other classes of long-term investment strategies. [References: 25]}, + keywords = {Global optimization algorithm. Financial planning problems. Fixed-mix +problem. +Portfolio selection. Algorithm. Model. +Economics.}, + year = {1997} +} + + author = {Maranas, C. D. and Floudas, C. A.}, + title = {Global optimization for molecular conformation problems}, + journal = {Annals of Operations Research}, + pages = {85-117}, + keywords = {Multiple-minima problem. Nuclear-magnetic-resonance. Monte-carlo +method. Statistical-mechanical procedure. Diffusion equation method. +Interproton distance restraints. Incremental pulse search. +Conformational-analysis. Protein-structure. Energy-minimization. +Physical chemistry/chemical physics. +Reprint available from: Maranas CD. PRINCETON UNIV, DEPT CHEM ENGN, +PRINCETON, NJ 08544, USA.}, + year = {1993} +} + + author = {Maranas, C. D. and Floudas, C. A.}, + title = {A deterministic global optimization approach for molecular structure determination}, + journal = {Journal of Chemical Physics}, + volume = {100}, + number = {2}, + pages = {1247-1261}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Maranas CD PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0051}, + abstract = {A deterministic global optimization algorithm is introduced for locating global. minimum potential energy molecular conformations. The proposed branch and bound type algorithm attains finite epsilon-convergence to the global minimum through the successive refinement of converging lower and upper bounds on the solution. These bounds are obtained through a novel convex lowering bounding of the total potential function and the subsequent solution of a series of nonlinear convex optimization problems; The minimization of the total potential energy function is performed on an independent set of internal coordinates involving only dihedral angles. A number of example problems illustrate the proposed approach. [References: 108] 108}, + keywords = {review +Multiple-minima problem. Nuclear-magnetic-resonance. Monte-carlo +method. Statistical-mechanical procedure. Diffusion equation method. +Interproton distance restraints. Incremental pulse search. +Conformational-analysis. Protein-structure. Energy-minimization. +Physical chemistry/chemical physics. +Reprint available from: Maranas CD. PRINCETON UNIV, DEPT CHEM ENGN, +PRINCETON, NJ 08544, USA.}, + year = {1994} +} + + author = {Maranas, C. D. and Floudas, C. A.}, + title = {Global Optimization in Generalized Geometric Programming}, + journal = {Computers and Chemical Engineering}, + volume = {21}, + number = {4}, + pages = {351-369}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Maranas CD PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA}, + abstract = {A deterministic global optimization algorithm is proposed for locating the global minimum of generalized geometric (signomial) problems (GGP). By utilizing an exponential variable transformation the initial nonconvex problem (GGP) is reduced to a (DC) programming problem where both the constraints and the objective are decomposed into the difference of two convex functions. A convex relaxation of problem (DC) is then obtained based on the linear lower bounding of the concave parts of the objective function and constraints inside some box region. The proposed branch and bound type algorithm attains finite E-convergence to the global minimum through the successive refinement of a convex relaxation of the feasible region and/or of the objective function and the subsequent solution of a series of nonlinear convex optimization problems. The efficiency of the proposed approach is enhanced by eliminating variables through monotonicity analysis, by maintaining tightly bound variables through rescaling, by further improving the supplied variable bounds through convex minimization, and finally by transforming each inequality constraint so as the concave part lower bounding is as tight as possible. The proposed approach is illustrated with a large number of test examples and robust stability analysis problems. Copyright (C) 1996 Elsevier Science Ltd [References: 50]}, + keywords = {Global optimization. Generalized geometric programming. Signomials. +Robust stability analysis. +Constraints. Design. +Chemical engineering.}, + year = {1997} +} + + author = {Maranas, C. D. and McDonald, C. M. and Harding, S. T. and Floudas, C. A.}, + title = {Locating All Azeotropes in Homogeneous Azeotropic Systems}, + journal = {Computers and Chemical Engineering}, + volume = {20}, + number = {Suppl A}, + pages = {S 413-S 418}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0070}, + abstract = {A global optimization based approach for finding all homogeneous azeotropes in multicomponent mixtures is presented. The global optimization approach is based on a branch and bound framework in which upper and lower bounds on the solution are refined by successively partitioning the target region into small disjoint rectangles. The objective of such an approach is to locate all global minima since each global minimum corresponds to an homogeneous azeotrope. The global optimization problem is formulated from the thermodynamic criteria for azeotropy, which involve highly nonlinear and nonconvex expressions. The success of this approach depends upon constructing valid convex lower bounds for each nonconvex function in the constraints. The convex lower bounding procedure is demonstrated with the Wilson activity coefficient equation. The global optimization approach is illustrated in an example problem. [References: 11] 11}, + keywords = {Fluid mixtures. Algorithm. +Chemical engineering. +Reprint available from: Floudas CA. PRINCETON UNIV, DEPT CHEM ENGN, +PRINCETON, NJ 08544, USA.}, + year = {1996} +} + +@article{Marazzi2004, + author = {Marazzi, A. and Yohai, V.J}, + title = {Adaptively truncated maximum likelihood regression with asymmetric errors}, + journal = {Journal of Statistical Planning and Inference}, + volume = {122}, + number = {1-2}, + pages = {271-291 }, + abstract = {We consider robust estimators for the linear regression model with asymmetric (or symmetric) error distribution. We assume that the error model belongs to a location-scale family of distributions. Since in the asymmetric case the mean response is very often the parameter of interest and scale is a main component of mean, we do not assume that scale is a nuisance parameter. First, we show how to convert an ordinary robust estimate for the usual model with symmetric errors to an estimate for the more general model with asymmetric errors. Then, in order to improve efficiency, we introduce the truncated maximum likelihood or TML-estimator. A TML-estimate is computed in three steps: first, an initial high breakdown point estimate is computed; then, observations that are unlikely under the estimated model are rejected; finally, the maximum likelihood estimate is computed with the retained observations. The rejection rule used in the second step is based on a cut-off parameter that can be tuned to attain the desired efficiency while maintaining the breakdown point of the initial estimator (e.g., 50%). Optionally, one can use a new adaptive cut-off that, asymptotically, does not reject any observation when the data are generated according to the model. Under the model, the influence function of this adaptive TML-estimator (or ATML-estimator) coincides with the influence function of the maximum likelihood estimator. The ATML-estimator is, therefore, fully efficient at the model; nevertheless, its breakdown point is not smaller than the breakdown point of the initial estimator. We evaluate the TML- and ATML-estimators for finite sample sizes with the help of simulations and discuss an example with real data.}, + year = {2004} +} + + author = {Marichal, J-L.}, + title = {An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria}, + journal = {IEEE Trans. on Fuzzy Syst.}, + volume = {8}, + pages = {800--807}, + year = {2000} +} + +@incollection{Marichal2000_invol, + author = {Marichal, J.-L.}, + title = {On {C}hoquet and {S}ugeno integrals as agregation functions}, + booktitle = {Fuzzy measures and integrals.Theory and Applications.}, + editor = {Grabisch, M. and Murofushi, T. and Sugeno, M.}, + publisher = {Physica-Verlag}, + address = {Heidelberg}, + pages = {247-272}, + year = {2000} +} + +@article{Marichal2000_FSS, + author = {Marichal, J.-L.}, + title = {On {S}ugeno integral as an aggregation function}, + journal = {Fuzzy Sets and Systems}, + volume = {114}, + pages = {347-365}, + year = {2000} +} + +@incollection{Marichal2002_invol, + author = {Marichal, J.-L.}, + title = {Aggregation of interacting criteria by means of the discrete {C}hoquet integral}, + booktitle = {Aggregation Operators. New Trends and Applications}, + editor = {Calvo, T. and Mayor, G. and Mesiar, R.}, + publisher = {Physica-Verlag}, + address = {Heidelberg, New York}, + pages = {224-244}, + year = {2002} +} + +@article{Marichal2002_EJOR, + author = {Marichal, J.-L.}, + title = {Entropy of discrete {C}hoquet capacities}, + journal = {Europ. J. Oper. Res.}, + volume = {137}, + pages = {612-624}, + year = {2002} +} + +@article{Marichal2004_EJOR, + author = {Marichal, J.-L.}, + title = {Tolerant or intolerant character of interacting criteria in aggregation by the {C}hoquet integral}, + journal = {Europ. J. Operations Research}, + volume = {155}, + pages = {771?791}, + year = {2004} +} + +@article{Markowitz1952, + author = {Markowitz, H.M.}, + title = {Portfolio selection}, + journal = {Journal of Finance}, + volume = {7}, + pages = {77 ?91}, + year = {1952} +} + +@misc{MarkowskiONLINE, + author = {Markowski, B.R.}, + title = {Concept of an open compound estimator in robust regression }, + year = {2009} +} + +@misc{Markowski2010, + author = {Markowski, B.R.}, + title = {Concept of an open compound estimator in robust regression}, + abstract = {In the recent years efforts were made tuning up estimators with high breakdown point for simultaneous efficiency. Some of +the first authors who succeeded in establishing robust and really simultaneous high efficient estimators are Gervini and +Yohai (2002). With their reweighted least squares estimators (REWLSEs) the authors introduced, in order to gain +efficiency, a scheme of adaptive weighting in place of fixed cutoff values. Herein they nevertheless have to employ a fix +value as a quantile and a rejecting function, both considerable as subjective moments. M-estimators e.g. come along with +the necessity for suitably selected loss or weight functions thus possibly causing a subjective impact on the estimates. Thus +we had a twofold motivation for this work. Firstly to get off those potential subjective influences postulating a new kind of +robust estimators which we assign ‘natural’ and secondly to gain simultaneous efficiency realizing by constructing rather +than by treating residuals or improving an initial estimate. The latter we conceptually perform by averaging the estimates. +One ‘new kind’ estimator is the Least Median of Absolute Residuals according to the Least Median of Squares (LMS, +Rousseeuw, 1984). In order to show our algorithmic concept we introduce (and join to the previous) a new ’natural’ +estimator based on the theory of runs. By means of this minimal compound we reach about 50% asymptotic relative +efficiency relating to the least squares estimation under normal conditions. This efficiency amount can become increased +with every new estimator of that kind involved, according our concept. Synthetic and real data examples are given.-}, + year = {2010} +} + +@book{Maronna_book, + author = {Maronna, R. and Martin, R. and Yohai, V.}, + title = {Robust Statistics: Theory and Methods}, + publisher = {Wiley}, + address = {New York}, + year = {2006} +} + +@article{Marques2003_FSS, + author = {Marques Pereira, R.A. and Ribeiro, R.A.}, + title = {Aggregation with generalized mixture operators using weighting functions}, + journal = {Fuzzy Sets and Systems}, + volume = {137}, + pages = {43-58}, + year = {2003} +} + +@article{Mayor, + author = {Martín, J. and Mayor, G.}, + title = {Multi-argument distances}, + journal = {Fuzzy Sets and Systems}, + volume = {In Press}, + pages = {DOI: 10.1016/j.fss.2010.10.018}, + note = {doi: DOI: 10.1016/j.fss.2010.10.018}, + keywords = {Distance +Multidistance +Fermat point +Sum-based multidistance +OWA operator}, + year = {2011} +} + + author = {Martin, Y.C. and Bures, M.G. and Willett, P.}, + title = {Searching databases of three-dimensional structures}, + booktitle = {Reviews in Computational Chemistry}, + editor = {Lipkowitz, K.B. and Boyd, D.B.}, + publisher = {VCH Publishers}, + address = {New York}, + volume = {1}, + pages = {213-263}, + keywords = {standard review +molecular similarity +database +quantitative structure-activity relationship (QSAR)}, + year = {1990} +} + +@article{Mas2007_TFS, + author = {Mas, M. and Monserrat, M. and Torrent, J. and Trillas, E.}, + title = {A survey ofn fuzzy implication functions}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {in press}, + year = {2007} +} + + author = {Mason, T. and Beliakov, G.}, + title = {Short/medium term production forecasting using non-linear time series by Lipschitz approximation}, + booktitle = {11 Australian Optimisation Day }, + editor = {Caccetta, L.}, + address = {Perth}, + year = {2005} +} + +@book{Masters1993_book, + author = {Masters, T.}, + title = {Practical Neural Network Recipes in C++}, + publisher = {Academic Press}, + address = {Boston}, + note = {92047469 +Timothy Masters. +1 computer disk (5 1/4 in.) +System requirements for computer disk: PC; C++ compiler. +Includes bibliographical references (p. 479-490) and index.}, + keywords = {Neural networks (Computer science) +C (Computer program language)}, + year = {1993} +} + + author = {Masters, Timothy}, + title = {Advanced algorithms for neural networks: a C++ sourcebook}, + publisher = {Wiley}, + address = {New York}, + note = {94043390 +Timothy Masters. +1 computer disk (3 1/2 in.) +1. Deterministic Optimization -- 2. Stochastic Optimization -- 3. Hybrid Training Algorithms -- 4. Probabilistic Neural Networks I: Introduction -- 5. Probabilistic Neural Networks II: Advanced Techniques -- 6. Generalized Regression -- 7. The Gram-Charlier Neural Network -- 8. Dimension Reduction and Orthogonalization -- 9. Assessing Generalization Ability -- 10. Using the PNN Program. +Includes bibliographical references (p. [407]-425) and index. +System requirements for accompanying computer disk: C++}, + abstract = {This practical guide contains a wide variety of state-of-the-art algorithms that are useful in the design and implementation of neural networks. All algorithms are presented on both an intuitive and a theoretical level, with complete source code provided on an accompanying disk. Several training algorithms for multiple-layer feedforward networks (MLFN) are featured. The probabilistic neural network is extended to allow separate sigmas for each variable, and even separate sigma vectors for each class. The generalized regression neural network is similarly extended, and a fast second-order training algorithm for all of these models is provided. The book also discusses the recently developed Gram-Charlier neural network and provides important information on its strengths and weaknesses. Readers are shown several proven methods for reducing the dimensionality of the input data.}, + keywords = {Neural networks (Computer science) +Computer algorithms.}, + year = {1995} +} + + author = {Masters, Timothy}, + title = {Neural, novel and hybrid algorithms for time series prediction}, + publisher = {John Wiley and Sons}, + note = {Timothy Masters. +Neural, novel, and hybrid algorithms for time series prediction. +1 computer laser optical disc (4 3/4 in.) +Includes bibliographical references (p. [489]-507) and index.}, + keywords = {Neural networks (Computer science) +Algorithms.}, + year = {1995} +} + + author = {Mathews, C.K. and van Holde, K.E. and Ahern, K.G.}, + title = {Biochemistry}, + publisher = {Addison Wesley Longman}, + address = {San Francisco}, + edition = {3rd}, + keywords = {book +biochemistry +undergraduate education +undergraduate text}, + year = {2000} +} + +@article{Mausser1999_Algo, + author = {Mausser, H. and Rosen, D.}, + title = {Efficient risk/return frontiers for credit risk}, + journal = {Algo Research Quarterly}, + volume = {2 }, + pages = {35 ?47}, + year = {1999} +} + +@inproceedings{Mayor1997_IFSA, + author = {Mayor, G. and Calvo, T.}, + title = {Extended aggregation functions}, + booktitle = {IFSA'97}, + address = {Prague}, + volume = {1}, + pages = {281--285}, + year = {1997} +} + +@article{Mayor2007_TFS, + author = {Mayor, G. and Monreal, J.}, + title = {Additive Generators of Discrete Conjunctive Aggregation Operations}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {in press}, + year = {2007} +} + +@article{Mayor2007_TFS, + author = {Mayor, G. and Monreal, J.}, + title = {Additive Generators of Discrete Conjunctive Aggregation Operations}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {15}, + pages = {1046-1052}, + year = {2007} +} + +@incollection{Mayor2005_invol, + author = {Mayor, G. and Torrens, J.}, + title = {Triangular Norms on Discrete Settings}, + booktitle = {Logical, Algebraic, Analytic and Probabilistic Aspects of Triangular Norms}, + editor = {Klement, E.P. and Mesiar, R.}, + publisher = {Elsevier}, + address = {New York}, + year = {2005} +} + +@article{McAllister1981_ACM, + author = {McAllister, D.F. and Roulier, J.A.}, + title = {An algorithm for computing a shape-preserving oscillatory quadratic spline}, + journal = {ACM Trans. Math. Software }, + volume = {7}, + pages = {331-347}, + year = {1981} +} + +@article{McAllRoul1981, + author = {McAllister, David F. and Roulier, John A.}, + title = {An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline}, + journal = {ACM Trans. Math. Softw.}, + volume = {7}, + number = {3}, + pages = {331-347}, + year = {1981} +} + + author = {McClintick, J. and Edenberg, H.J.}, + title = {BlastReport: A Perl script to facilitate the use of sequence databases for mapping and clustering}, + journal = {Biotechniques}, + volume = {29}, + number = {6}, + pages = {1272-1277}, + keywords = {journal +protein +Perl +basic local alignment search tool (BLAST) +National Center for Biotechnology Information (NCBI) +DNA +biotechnology +bioinformatics}, + year = {2000} +} + + author = {McCormack, D.A. and Lim, K.F.}, + title = {Reply to a Comment on: "The conservation of quantum zero-point energies in classical trajectory simulations" [J. Chem. Phys. 102, 1705 (1995)]}, + journal = {J. Chem. Phys.}, + volume = {103}, + number = {5}, + pages = {1991-1992}, + note = {P540.5/JOU; +see #1117 [K.F. Lim and D.A. McCormack, J. Chem. Phys., 102, 1705 (1995)]; +see #1220 [C. Schlier, J. Chem. Phys., 103 (5), 1989–1990 (1995)]}, + keywords = {molecular dynamics (MD) +ZPE preservation +constrained mechanics +Hénon-Heiles system +trajectory projection onto ZPE (TRAPZ) method +quasiclassical trajectory (QCT)}, + year = {1995} +} + + author = {McCormack, D.A. and Lim, K.F.}, + title = {The zero-point energy problem in classical trajectory simulations at dissociation threshold}, + journal = {J. Chem. Phys.}, + volume = {106}, + number = {2}, + pages = {572-574}, + note = {P540.5/JOU}, + abstract = {Quasiclassical trajectory calculations offer a cost-effective means of investigating the dynamics of chemical reactions. However, they suffer from the zero-point energy (ZPE) problem, whereby the (quantum) ZPE motion can contribute to an overestimation of the rate coefficient. This paper reports on some dynamics of the Henon-Heiles system. Dynamics of the water molecule at energies just below the (quantum) dissociation threshold, are also reported. The TRAPZ method [Lim and McCormack, J. Chem. Phys. 102, 1705 (1995)] leads to a definite improvement over unconstrained classical mechanics.}, + keywords = {molecular dynamics (MD) +ZPE preservation +constrained mechanics +Hénon-Heiles system +trajectory projection onto ZPE (TRAPZ) method +quasiclassical trajectory (QCT) +water dissociation}, + year = {1997} +} + + author = {McCormack, D.A. and Lim, K.F.}, + title = {Zero-point energy constraints in RRKM and non-RRKM molecules}, + journal = {Phys. Chem. Chem. Phys.}, + volume = {1}, + number = {1}, + pages = {1-12}, + keywords = {Al3 Æ Al2 + Al +journal +molecular dynamics (MD) +ZPE preservation +constrained mechanics +HNC Æ HCN +trajectory projection onto ZPE (TRAPZ) method +quasiclassical trajectory (QCT)}, + year = {1999} +} + + author = {McDonald, C. and Floudas, C. A.}, + title = {Global Optimization and Analysis for the Gibbs Free Energy Function Using the Unifac, Wilson, and Asog Equations}, + journal = {Industrial and Engineering Chemistry Research}, + volume = {34}, + number = {5}, + pages = {1674-1687}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0020}, + abstract = {The Wilson equation for the excess Gibbs energy has found wide use in successfully representing the behavior of polar and nonpolar multicomponent mixtures with only binary parameters but was incapable of predicting more than one liquid phase. The UNIFAC and ASOG group contribution methods do not have this limitation and can predict the presence of multiple liquid phases. The most important area of application of all these equations is in the prediction of phase equilibria. The calculation of phase equilibria involves two important problems: (i) the minimization of the Gibbs free energy and (ii) the tangent plane stability criterion. Problem ii, which can be implemented as the minimization of the tangent plane distance function, has found wide application in aiding the search for the global minimum of the Gibbs free energy. However, a drawback of all previous approaches is that they could not provide theoretical guarantees that the true equilibrium solution will be obtained. The goal of this work is to find the equilibrium solution corresponding to the global minimum of the Gibbs free energy. A proof that the Wilson equation leads to a convex formulation for the minimization of the Gibbs energy is provided so that a local optimization technique will always converge to a global minimum. In addition, new expressions are derived for the molar Gibbs free energy function when the UNIFAC, ASOG, and modified Wilson equations are employed. These expressions are then transformed so that application of a branch and bound based global optimization algorithm originally due to Falk and Soland (1969) is possible. This allows global solutions to be obtained for both the minimization of the Gibbs free energy and the minimization of the tangent plane distance function. The algorithm is implemented in C as part of the package GLOPEQ, global optimization for the phase equilibrium problem (McDonald and Floudas, 1994d). Results for several examples are presented. [References: 41] 41}, + keywords = {Isothermal flash problem. Liquid-equilibria. Phase. Computation. +Multicomponent. Distillation. Algorithm. Mixtures. Systems. +Chemical engineering. +Reprint available from: Floudas CA. PRINCETON UNIV, DEPT CHEM ENGN, +PRINCETON, NJ 08544, USA.}, + year = {1995} +} + + author = {McDonald, C. M. and Floudas, C. A.}, + title = {Global Optimization for the Phase and Chemical Equilibrium Problem - Application to the Nrtl Equation}, + journal = {Computers and Chemical Engineering}, + volume = {19}, + number = {11}, + pages = {1111-1139}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0001}, + abstract = {Several approaches have been proposed for the computation of solutions to the phase and chemical equilibrium problem when the problem is posed as the minimization of the Gibbs free energy function. None of them can guarantee convergence to the true optimal solution, and are highly dependent on the supplied initial point. Convergence to local solutions often occurs, yielding incorrect phase and component distributions. This work examines the problems when the liquid phase is adequately modeled by the Non-Random Two Liquid (NRTL) activity coefficient expression and the vapor phase is assumed to be ideal. The contribution of the proposed approach is two-fold. Firstly, a novel and important property of the Gibbs free energy expression involving the NRTL equation is provided. It is subsequently shown that by introducing new variables, the problem can then be transformed into one where a biconvex objective function is minimized over a set of bilinear constraints. Secondly, the Global OPtimization (GOP) algorithm is used to exploit these induced properties of the formulation to guarantee convergence to an epsilon-global solution, regardless of the starting point. A geometrical interpretation is provided for a selected smaller, but challenging, example. Numerous examples are presented which demonstrate the broad applicability of the proposed approach. [References: 66] 66}, + keywords = {3-phase azeotropic distillation. Thermodynamic energy analysis. +Critical-point calculations. Isothermal flash problem. Liquid +equilibria. Nonconvex nlps. Algorithm gop. Computation. +Multicomponent. Stability. +Chemical engineering. +Reprint available from: Floudas CA. PRINCETON UNIV, DEPT CHEM ENGN, +PRINCETON, NJ 08544, USA.}, + year = {1995} +} + + author = {McDonald, C. M. and Floudas, C. A.}, + title = {Global Optimization for the Phase Stability Problem}, + journal = {AICHE Journal}, + volume = {41}, + number = {7}, + pages = {1798-1814}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Mcdonald CM PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0014}, + abstract = {The Gibbs tangent plane criterion has become important in determining the quality of obtained solutions to the phase and chemical equilibrium problem. The ability to determine if a postulated solution is thermodynamically stable with respect to perturbations in any or all of the phases is very useful in the search for the title equilibrium solution. Previous approaches have focused on finding stationary points of the tangent plane distance function. Obtaining all stationary points, however cannot be guaranteed due to the complex and nonlinear nature of the models used to predict equilibrium. Simpler fomulations for the stability problem are presented for special problems where nonideal liquid phases can be adequately modeled using the NRTL and UNIQUAC activity coefficient equations. It shows how the global minimum of the tangent plane distance function can be obtained for these problems. A global optimization approach is advantageous because a nonnegative solution can be asserted to be the globally stable equilibrium one, unlike available local algorithms. For the NRTL equation, the GOP algorithm of Floudas and Visweswaran (1990, 1993) is used to guarantee obtaining epsilon-global convergence to the global minimum. For the UNIQUAC equation, a branch and bound algorithm based on that of Falk and Soland (1969) is used to guarantee convergence to the global solution. Computational results demonstrate the efficiency of both global optimization algorithms in solving various challenging problems. [References: 35] 35}, + keywords = {Heterogeneous azeotropic distillation. Thermodynamic energy analysis. +Critical-point calculations. Isothermal flash problem. +Chemical-equilibrium. Liquid-equilibria. Vapor-liquid. Computation. +Algorithm. Strategy. +Chemical engineering. +Reprint available from: Mcdonald CM. PRINCETON UNIV, DEPT CHEM ENGN, +PRINCETON, NJ 08544, USA.}, + year = {1995} +} + + author = {McDonald, C. M. and Floudas, C. A.}, + title = {Glopeq - a New Computational Tool for the Phase and Chemical Equilibrium Problem}, + journal = {Computers and Chemical Engineering}, + volume = {21}, + number = {1}, + pages = {1-23}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Mcdonald CM PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0001}, + abstract = {Calculation of phase and chemical equilibrium represents a crucial phase in the modeling of many separation processes. For conditions of constant temperature and pressure, a necessary and sufficient condition for the true equilibrium solution is that (i) the total Gibbs free energy of the system be at its global minimum, or (ii) the minimum of the tangent plane distance function be nonnegative for all phase models used to represent the system, In this work, the goal is to obtain equilibrium solutions corresponding to a global minimum of the Gibbs free energy as efficiently as possible, for cases where the liquid phase or phases can be modeled by the NRTL, UNIQUAC, UNIFAC, Wilson, modified Wilson and ASOG equations. Vapor phases whose behavior can be described as ideal can also be handled. In achieving this goal, there are two distinct problems of relevance: (i) the minimization of the Gibbs free energy, denoted (G), and (ii) the minimization of the tangent plane distance function, or the tangent plane stability criterion, denoted (S). For all these activity coefficient models, GLOPEQ (GLobal OPtimization for the Phase and chemical EQuilibrium problem) can guarantee global solutions for problems (G) and (S), but a combined algorithm employs them in tandem, using (G) to generate candidate equilibrium solutions which can then be verified for thermodynamic stability by solving (S). Two key features of the combined algorithm are that (i) as much information as is possible is obtained from local searches, and (ii) it is preferable to verify a globally stable equilibrium solution using the tangent plane criterion, as this problem contains fewer variables than the minimization of the Gibbs free energy. Results for several examples are presented, and all but one of them are for the case of phase equilibrium, due to the paucity of examples for reacting systems that employ excess Gibbs free energy models. Copyright (C) 1996 Elsevier Science Ltd [References: 57] 57}, + keywords = {Gibbs free-energy. Critical-point calculations. Optimization algorithm +gop. Isothermal flash problem. Vapor-liquid-equilibria. Global +optimization. Azeotropic distillation. Stability analysis. Nonconvex +nlps. Minimization. +Chemical engineering. +Reprint available from: Mcdonald CM. PRINCETON UNIV, DEPT CHEM ENGN, +PRINCETON, NJ 08544, USA.}, + year = {1997} +} + + author = {McDonald, C. M. and Floudas, C. A.}, + title = {Best paper of 1997: GLOPEQ: A new computational tool for the phase and chemical equilibrium problem Computers and Chemical Engineering, Vol 21, No. 1. p. 1-24}, + journal = {Computers and Chemical Engineering}, + volume = {23}, + number = {7}, + pages = {821-822}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: McDonald CM Dupont Co Wilmington, DE 19898 USA Dupont Co Wilmington, DE 19898 USA Princeton Univ, Fac Appl and Computat Math Princeton, NJ 08544 USA 0001 Comput. Chem. Eng}, + abstract = {The phase and chemical equilibrium problem is of paramount importance for predicting fluid phase behavior for a very large number of separation process applications. The ubiquity of the flash calculation in chemical engineering is just one example of its prevalence. Process simulators need to be able to reliably and efficiently predict the correct number of phases that will exist at equilibrium, and the distribution of components within those phases. However, the equation based and local optimisation approaches which are in common use can provide no theoretical guarantee that the true equilibrium solution will be obtained. For conditions of constant temperature and pressure, a necessary and sufficient condition for the true equilibrium solution is that (i) the total Gibbs free energy of the system be at its global minimum, or (ii) the minimum of the tangent plane distance function be nonnegative for all phase models used to represent the system. In this contribution, the goal is to obtain equilibrium solutions corresponding to a global minimum of the Gibbs free energy as efficiently as possible, for cases where the liquid phase can be modeled by the NRTL UNIQUAC, UNIFAC, Wilson, modified Wilson and ASOG equations. Vapor phases whose behavior can be described as ideal can also be handled. In achieving this goal, there are two distinct problems of relevance: (i) the minimisation of the Gibbs free energy, denoted (G), and (ii) the minimisation of the tangent plane distance function, or the tangent plane stability criterion, denoted (S). The approach builds on previous contributions by the authors. McDonald and Floudas (Comput. chem. Engng., 19(11), 1995) use the Global optimization, GOP, algorithm of Floudas and Visweswaran (1990, 1993) to obtain global solutions for (G) when employing the NRTL equation. For the UNIQUAC equation, McDonald and Floudas (JOGO, 5:205, 1993) show how the Gibbs function can be transformed into the difference of two convex functions, so that a branch and bound deterministic global optimisation algorithm can be used to solve (G) globally. McDonald and Floudas (AIChE J., 41(7):1798, 1995) demonstrate how global solutions can be obtained for (S) when using the NRTL or UNIQUAC equations. McDonald and Floudas (IandEC Res., 34.1674, 1995) show how a similar branch and bound algorithm can also be applied for the UNIFAC, Wilson, modified Wilson and ASOG models to solve both (G) and (S). The key contribution is the presentation of an algorithm called GLOPEQ (Global OPtimization for the Phase and chemical EQuilibrium problem) which is theoretically guaranteed to converge to the global (sic equilibrium) solution for the activity coefficient models indicated, no matter the starting point. GLOPEQ solves (G) and (S) in tandem, using (G) to generate candidate equilibrium solutions which can then be verified for thermodynamic stability by solving (S). Two key features of the combined algorithm are that (i) as much information as is possible is obtained from local searches, and (ii) it is preferable to verify a globally stable equilibrium solution using the tangent plane criterion, as this problem contains fewer variables than the minimisation of the Gibbs free energy. Both these features improve computational performance greatly. The GLOPEQ algorithm uses the tangent plane criterion to establish if the Gibbs free energy of a current equilibrium solution can be reduced. However, the main difference is that deterministic global optimisation is used to solve the subproblems (G) and (S) as opposed to local optimisation techniques, thus allowing the above guarantees to be made, unlike all other previous approaches. [References: None] None}, + keywords = {Chemical Engineering in Current Contents(R)/Engineering, Computing and +Technology. +1999 week 30 +Reprint available from: McDonald CM. Dupont Co, Wilmington, DE 19898, +USA, .}, + year = {1999} +} + + author = {McLachlan, G.J. and Krishnan, T.}, + title = {The EM algorithm and extensions }, + publisher = {Wiley-Interscience}, + address = {Hoboken, N.J.}, + edition = {2}, + year = {2008} +} + + author = {McLachlan, G.J. and Peel, D.}, + title = {Finite Mixture Models}, + publisher = {Wiley}, + address = {New York}, + year = {2000} +} + +@article{McMorris, + author = {McMorris, F. R. and Mulder, H.M. and Roberts, F.S.}, + title = {The median procedure on median graphs}, + journal = {Discrete Appl. Math.}, + volume = {84}, + number = {1-3}, + pages = {165-181}, + note = {287620}, + year = {1998} +} + + author = {Meloun, M. and Militky, J. and Hill, M. and Brereton, R.G.}, + title = {Crucial problems in regression modelling and their solutions}, + journal = {Analyst}, + volume = {127}, + number = {4}, + pages = {433-450}, + keywords = {analysis +analytical chemistry +journal +tutorial +review +chemometrics +linear regression +regression +principle component analysis (PCA)}, + year = {2002} +} + +@article{Mendel2007_CIM, + author = {Mendel, J.M.}, + title = {Type-2 fuzzy sets and systems: an overview}, + journal = {IEEE Computational Intelligence Magazine}, + volume = {2}, + pages = {20-29}, + year = {2007} +} + +@article{Mendel2006_TFS, + author = {Mendel, J.M. and John, R.I. and Liu, F.}, + title = {Interval type-2 fuzzy logic systems made simple}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {14}, + pages = {808-821}, + year = {2006} +} + +@article{Menger1942, + author = {Menger, K.}, + title = {Statistical metrics}, + journal = {Procs. Nat. Acad. Sci. U.S.A.}, + volume = {37}, + pages = {535--537}, + year = {1942} +} + +@article{mesiar-97, + author = {Mesiar, R.}, + title = {Choquet like-integrals}, + journal = {J. Math. Anal. Appl. }, + volume = {194}, + pages = {477-488}, + year = {1995} +} + +@article{Mesiar1995_JMAA, + author = {Mesiar, R.}, + title = {Choquet-like integrals}, + journal = {J. Math. Anal. Appl.}, + volume = {194}, + pages = {477-488}, + year = {1995} +} + +@inproceedings{Mesiar1995_EUFIT, + author = {Mesiar, R.}, + title = {Compensatory operators based on triangular norms}, + booktitle = {EUFIT}, + editor = {Zimmermann, H.-J.}, + address = {Aachen}, + pages = {131-135}, + year = {1995} +} + +@article{Mesiar1999_FSS, + author = {Mesiar, R.}, + title = {Generalizations of $k$--order additive discrete fuzzy measures}, + journal = {Fuzzy Sets and Systems}, + volume = {102}, + pages = {423-428}, + year = {1999} +} + +@article{Mesiar1999_IJFUKS, + author = {Mesiar, R.}, + title = {$k$--order additive measures}, + journal = {Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems}, + volume = {7}, + pages = {561-568}, + year = {1999} +} + +@article{Mesiar2007_EJOR, + author = {Mesiar, R.}, + title = {Fuzzy set approach to the utility, preference relations, and aggregation operators}, + journal = {Europ. J. Oper. Res.}, + volume = {176}, + pages = {414?422}, + year = {2007} +} + + author = {Mesiar, R. and Komornikova, M.}, + title = {Aggregation operators}, + booktitle = {PRIM'96, XI. +Conference on Applied Mathematics}, + editor = {Herceg, D. and Surla, K.}, + pages = {193--211}, + year = {1996} +} + +@incollection{Mesiar1998_invol, + author = {Mesiar, R. and Komornikova, M.}, + title = {Triangular norm-based aggregation of evidence under fuzziness}, + booktitle = {Aggregation and Fusion of Imperfect Information}, + editor = {Bouchon-Meunier, B.}, + publisher = {Physica-Verlag}, + address = {Heidelberg}, + pages = {11-35}, + year = {1998} +} + +@incollection{Mesiar2007_invol, + author = {Mesiar, R. and Komornikova, M. and Kolesarova, A. and Calvo, T.}, + title = {Aggregation functions: A revision}, + booktitle = {Fuzzy Sets and Their Extensions: Representation, Aggregation and Models}, + editor = {Bustince, H. and Herrera, F. and Montero, J.}, + publisher = {Springer}, + address = {Heidelberg}, + year = {2007} +} + +@article{Mesiar2008_IS, + author = {Mesiar, R. and Spirkova, J. and Vavrikova, L.}, + title = {Weighted aggregation operators based on minimization}, + journal = {Inform. Sci.}, + volume = {178}, + pages = {1133-1140}, + year = {2008} +} + +@inproceedings{Mesiar_2003_ifsa, + author = {Mesiar, R. and Valaskova, L.}, + title = {Universal fuzzy measures}, + booktitle = {IFSA}, + pages = {139-142}, + year = {2003} +} + +@article{Mesiar1999_tatra, + author = {Mesiar, R. and Vivona, D.}, + title = {Two-step integral with respect to fuzzy measure}, + journal = {Tatra Mount. Math. Publ.}, + volume = {16}, + pages = {359-368}, + year = {1999} +} + +@phdthesis{Mesiarova2005_thesis, + author = {Mesiarova, A.}, + title = {Special Classes of Triangular Norms}, + university = {Slovak Technical University}, + type = {PhD}, + year = {2005} +} + + author = {Mesiarova, A.}, + title = {Triangular Norms}, + university = {Slovak Technical University}, + type = {PhD}, + year = {2005} +} + +@article{Mesiarova2006_IJUFKS, + author = {Mesiarova, A.}, + title = {Extremal k-{L}ipschitz t-conorms}, + journal = {Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems}, + volume = {14}, + pages = {247-257}, + year = {2006} +} + +@article{Mesiarova2006_Aeq, + author = {Mesiarova, A.}, + title = {A note on two open problems of {A}lsina, {F}rank and {S}chweizer}, + journal = {Aequationes Mathematicae}, + volume = {72}, + pages = {41-46}, + year = {2006} +} + +@article{Mesiarova2007_IJGS, + author = {Mesiarova, A.}, + title = {Approximation of k-{L}ipschitz t-norms by strict and nilpotent k-{L}ipschitz t-norms}, + journal = {Int. J. General Syst}, + volume = {36}, + pages = {205 - 218}, + year = {2007} +} + +@article{Mesiarova2007_IJAR, + author = {Mesiarova, A.}, + title = {k-lp-{L}ipschitz t-norms}, + journal = {Int. J. Approx. Reasoning}, + volume = {46}, + pages = {596-604 }, + year = {2007 } +} + +@article{Meuth2007_IEEE, + author = {Meuth, R.J.}, + title = {GPUs surpass computers at repetitive calculations}, + journal = {IEEE Potentials}, + volume = {26}, + pages = {12-23}, + year = {2007} +} + + author = {Mezey, P.G.}, + title = {Molecular surfaces}, + booktitle = {Reviews in Computational Chemistry}, + editor = {Lipkowitz, K.B. and Boyd, D.B.}, + publisher = {VCH Publishers}, + address = {New York}, + volume = {1}, + pages = {265-294}, + keywords = {standard review +hard sphere (HS) +van der Waals (vdW) surfaces (vdWS) +contour surfaces +solvent-accessible volume model}, + year = {1990} +} + +@incollection{Micchelli1977_invol, + author = {Micchelli, C.A. and Rivlin, T.J.}, + title = {A survey of optimal recovery}, + booktitle = {Optimal Estimation in Approximation}, + editor = {Micchelli, C.A. and Rivlin, T.J.}, + publisher = {Plenum Press}, + address = {New York}, + pages = {1-54}, + year = {1977} +} + +@incollection{Micchelli1984_invol, + author = {Micchelli, C.A. and Rivlin, T.J.}, + title = {Lectures on optimal recovery}, + booktitle = {Numerical Analysis}, + editor = {Turner, P.R.}, + series = {Lecture Notes in Mathematics}, + publisher = {Springer}, + address = {Heidelberg}, + volume = {1129}, + pages = {12-93}, + year = {1984} +} + +@article{Micchelli1976_NM, + author = {Micchelli, C.A. and Rivlin, T.J. and Winograd, S.}, + title = {The optimal recovery of smooth functions}, + journal = {Numer. Math.}, + volume = {26}, + pages = {191-200}, + year = {1976} +} + +@book{Michalewicz1994_book, + author = {Michalewicz, Z.}, + title = {Genetic Algorithms + Data Structures = Evolution Programs}, + publisher = {Springer-Verlag}, + address = {Berlin; New York}, + edition = {2nd, extended}, + note = {94025886 +Zbigniew Michalewicz. +Pt. I. Genetic Algorithms. 1. GAs: What Are They? 2. GAs: How Do They Work? 3. GAs: Why Do They Work? 4. GAs: Selected Topics -- Pt. II. Numerical Optimization. 5. Binary or Float? 6. Fine Local Tuning. 7. Handling Constraints. 8. Evolution Strategies and Other Methods -- Pt. III. Evolution Programs. 9. The Transportation Problem. 10. The Traveling Salesman Problem. 11. Drawing Graphs, Scheduling, Partitioning, and Path Planning. 12. Machine Learning. +Includes bibliographical references (p. [321]-336) and index. +Genetic algorithms plus data structures equals evolution programs.}, + keywords = {Computer algorithms. +Data structures (Computer science) +Computer programs.}, + year = {1994} +} + + author = {Michie, D. and Spiegelhalter, D. and Taylor, C.}, + title = {Machine learning, neural and statistical classification}, + publisher = {Ellis Horwood}, + year = {1994} +} + + author = {Mierzwa, M. and Floudas, G. and Stepanek, P. and Wegner, G.}, + title = {Effect of pressure on the side-chain crystallization of poly(n-octadecyl methacrylate) studied by dielectric spectroscopy}, + journal = {Physical Review B}, + volume = {62}, + number = {21}, + pages = {14012-14019}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas G Fdn Res and Technol Hellas, Inst Elect Struct and Laser POB 1527 Heraklion 71110 Crete Greece Fdn Res and Technol Hellas, Inst Elect Struct and Laser Heraklion 71110 Crete Greece Acad Sci Czech Republ, Inst Macromol Chem Prague 16206 Czech Republic Max Planck Inst Polymerforsch D-55021 Mainz Germany 0046 Phys. Rev. B}, + abstract = {We have studied the effect of temperature and pressure on the crystallization of poly(n-octadecyl methacrylate) (PnODMA) by dielectric spectroscopy within the T range from 253 to 363 K and for pressures up to 2.5 kbars. Upon crystallization the spectrum shifts to lower frequencies and broadens considerably towards the low-frequency side. There is a strong increase of pair correlations as we approach the transition from the melt state indicating pretransitional ordering. From the T and P dependence of the relative dielectric intensity the existence of the rigid amorphous phase was documented. From the T and P dependence of the relaxation times the activation energies and activation volumes were obtained and found that the crystal state possess higher activation parameters reflecting the dynamics of the restricted amorphous phase. The effect of pressure on the morphology is to increase the crystal thickness by incorporating additional methylene units to the side-chain crystals. [References: 23] 23}, + keywords = {Poly(ether ether ketone). Glass-transition. Polymers. Dynamics. +Relaxation. Crystallinity. Polyisoprene. Temperature. Dependence. +Behavior. +Applied Physics/Condensed Matter/Materials Science in Current +Contents(R)/Physical, Chemical and Earth Sciences. +2001 week 02}, + year = {2000} +} + +@book{Mettinen1998_book, + author = {Miettinen, K.}, + title = {Nonlinear Multiobjective Optimization}, + publisher = {Springer}, + address = {Berlin, New York}, + year = {1998} +} + +@article{Mikhailov2003_FSS, + author = {Mikhailov, L.}, + title = {Deriving priorities from fuzzy pairwise comparison judgements}, + journal = {Fuzzy Sets and Systems}, + volume = {134 }, + pages = {365-385}, + year = {2003 } +} + + author = {Miller, David and Rao, Ajit V. and Rose, Kenneth and Gersho, Allen}, + title = {A global optimization technique for statistical classifier design}, + journal = {IEEE Transactions on Signal Processing}, + volume = {44}, + number = {12}, + pages = {p3108(15)}, + abstract = {A global optimization technique minimizes the rate of misclassification in the designing of statistical classifiers. The method gives an annealing approach for optimization to incorporate structural constraints and minimize the probability of error. The approach finds application in prototype-based, radial basis function and multilayer perception classifiers. This design method yields better classifiers than those obtained by other methods.}, + keywords = {Mathematical optimization Usage +Statistical process control Research}, + year = {1996} +} + +@inproceedings{Miller2004, + author = {Miller, E.}, + title = {A New Class of Entropy Estimators for Multi-Dimensional Densities}, + booktitle = {IEEE Intl Conf. on Acoustics, Speech, and Signal Processing}, + address = {Montreal, Canada}, + year = {2004} +} + + author = {Miller, Ronald E.}, + title = {Optimization: foundations and applications}, + publisher = {Wiley}, + address = {New York}, + note = {99021921 +GBA0-2006 +Ronald E. Miller. +Pt. I. Foundations: Linear Methods. 1. Matrix Algebra. 2. Systems of Linear Equations -- Pt. II. Foundations: Nonlinear Methods. 3. Unconstrained Maximization and Minimization. 4. Constrained Maximization and Minimization -- Pt. III. Applications: Iterative Methods for Nonlinear Problems. 5. Solving Nonlinear Equations. 6. Solving Unconstrained Maximization and Minimization Problems -- Pt. IV. Applications: Constrained Optimization in Linear Models. 7. Linear Programming: Fundamentals. 8. Linear Programming: Extensions. 9. Linear Programming: Interior Point Methods -- Pt. V. Applications: Constrained Optimization in Nonlinear Models. 10. Nonlinear Programming: Fundamentals. 11. Nonlinear Programming: Duality and Computational Methods. +"A Wiley-Interscience publication." +Includes bibliographical references and index.}, + abstract = {"Optimization: Foundations and Applications presents a series of approaches to the challenges faced by analysts who must find the best way to accomplish particular objectives, usually with the added complication of constraints on the available choices. Ronald E. Miller provides detailed coverage of both classical, calculus-based approaches and newer, computer-based iterative methods."--BOOK JACKET. "With special emphasis on questions most frequently asked by those encountering this material for the first time, Optimization: Foundations and Applications is an extremely useful resource for professionals in such areas as mathematics, engineering, economics and business, regional science, geography, sociology, political science, management and decision sciences, public policy analysis, and numerous other social sciences."--BOOK JACKET.}, + keywords = {Mathematical optimization.}, + year = {2000} +} + +@article{Miranda1999_IJUFKS, + author = {Miranda, P. and Grabisch, M.}, + title = {Optimization issues for fuzzy measures}, + journal = {Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems}, + volume = {7}, + pages = {545-560}, + year = {1999} +} + +@incollection{Miranda2002_springervol, + author = {Miranda, P. and Grabisch, M.}, + title = {Characterizing k-additive fuzzy measures}, + booktitle = {Technologies for constructing intelligent systems}, + editor = {Bouchon-Meunier, B. and Gutierrez-Rios, J. and Magdalena, L. and Yager, R.}, + publisher = {Springer}, + address = {Berlin}, + volume = {2}, + pages = {209-222}, + year = {2002} +} + +@article{Mitchell2004_IJFUKS, + author = {Mitchell, H.B.}, + title = {AN INTUITIONISTIC {OWA} OPERATOR}, + journal = {Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems}, + volume = {12}, + pages = {843-860}, + year = {2004} +} + +@article{Mladineo1986_mprog, + author = {Mladineo, R.}, + title = {An algorithm for finding the global maximum of a multimodal, multivariate function}, + journal = {Math. Progr.}, + volume = {34}, + pages = {188-200}, + year = {1986} +} + + author = {Mockus, Jonas}, + title = {Bayesian approach to global optimization: theory and applications}, + publisher = {Kluwer Academic}, + address = {Dordrecht; Boston}, + note = {88027188 +by Jonas Mockus. +1 computer disk (5 1/4 in.) +Mathematics and its applications. Soviet series. +System requirements for computer disk: Any computer with standard FORTRAN. +Includes index. +Includes bibliographical references (p. 237-246) +Mathematics and its applications (Kluwer Academic Publishers). Soviet series.}, + keywords = {Mathematical optimization. +Bayesian statistical decision theory.}, + year = {1989} +} + +@article{Sukhorukova2012_ANZIAM, + author = {Moloney, D. and Sukhorukova, N. and Pamplew, P. and Ugon, J. and Li, G. and Beliakov, G. and Philippe, C. and Amiel, H. and Ugon, A.}, + title = {Detecting K-complexes for sleep stage identi?cation using nonsmooth optimisation}, + journal = {ANZIAM Journal}, + volume = {in press}, + year = {2012} +} + + author = {MOLONEY, D. and SUKHORUKOVA, N. and VAMPLEW, P. and UGON, J. and LI, G. and BELIAKOV, G. and PHILIPPE, C. and AMIEL, H. and UGON, A.}, + title = {DETECTING K-COMPLEXES FOR SLEEP STAGE IDENTIFICATION USING NONSMOOTH OPTIMIZATION}, + journal = {The ANZIAM Journal}, + volume = {52}, + number = {04}, + pages = {319-332}, + year = {2011} +} + + author = {Momany, F.A. and McGuire, R.F. and Burgess, A.W. and Scheraga, H.A.}, + title = {Energy parameters in polypeptides. VII. Geometric parameters, partial atomic charges, nonbonded interactions, hydrogen bond interactions, and intrinsic torsional potentials for the naturally occurring amino acids}, + journal = {Journal of Physical Chemistry}, + volume = {79}, + number = {22}, + pages = {2361-2381}, + keywords = {empirical conformational energy program for peptides and proteins (ECEPP) +ECEPP force field +geometry optimization +molecular mechanics (MM) +molecular modelling +molecular structure}, + year = {1975} +} + +@article{Monjardet, + author = {Monjardet, B.}, + title = {“Math\'ematique Sociale" and Mathematics. A case study: Condorcet’s effect and medians.}, + journal = {Electronic Journal for History of Probability and Statistics}, + volume = {4}, + number = {1}, + pages = {1-26}, + year = {2008} +} + +@article{Monjardet_ADM, + author = {Monjardet, B. and Hammer, P. L. }, + title = {Theorie De La Mediane Dans Les Treillis Distributes Finis Et Applications}, + journal = {Annals of Discrete Mathematics}, + volume = {Volume 9}, + pages = {87-91}, + note = {doi: DOI: 10.1016/S0167-5060(08)70040-2}, + year = {1980} +} + + author = {Moore, E.A.}, + title = {Molecular Modelling and Bonding}, + publisher = {Royal Society of Chemistry}, + address = {Cambridge (UK)}, + volume = {6}, + series = {The Molecular World}, + abstract = {Why do molecules adopt particular shapes? What determines the physical and chemical properties of a material? Molecular Modelling and Bonding answers these questions by introducing the ideas behind molecular and quantum mechanics, using a largely non-mathematical approach. Atomic and molecular orbitals, computational chemistry and bonding in solids are also discussed. A Case Study, Molecular Modelling in Drug Design, explores ways in which computer modelling, in conjunction with experimental techniques, is used to design new drugs. The accompanying CD-ROM illustrates applications of molecular and quantum mechanics, and includes many of the structures and orbitals illustrated in the text. It provides the programs necessary to view orbitals and 3D structures.}, + keywords = {book +chemical education +undergraduate education +undergraduate textbook +molecular modelling +molecular mechanics (MM) +molecular orbital (MO) theory +quantum chemistry}, + year = {2002} +} + + author = {Moore, J.W.}, + title = {Challenges at the molecular frontier (Editorial)}, + journal = {Journal of Chemical Education}, + volume = {80}, + number = {6}, + pages = {591}, + keywords = {chemical education}, + year = {2003} +} + +@book{More1993, + author = {Moré, J. and Wright, S. J.}, + title = {Optimization Software Guide}, + publisher = {SIAM}, + address = {Philadelphia}, + year = {1993} +} + + author = {Moré, J. and Wu, Z.}, + title = {Global continuation for distance geometry problems}, + journal = {SIAM Journal of Optimization}, + volume = {7}, + number = {3}, + pages = {814-836}, + abstract = {Distance geometry is a general methodology for fomulating conformational problems in terms of distance and chirality constraints. In this paper, the distance geometry problem is that of determining the coordinates of a set of points in space from a given set of pairwise disjoint measurements. It is a common method for formulating space conformational problems in terms of distance measurements and recently this approach has been used in determining the structure of proteins from nuclear magnetic resonance data. In this paper the authors consider the case where only a subset of the distances between atoms is given and formulate this distance geometry problem and a global minimization problem of special structure. It is shown that global smoothing techniques and continuation approaches can be used to find globally optimal solutions. Some preliminary computational results and comparison with the multistart method for global optimization are presented.}, + keywords = {global optimization +distance geometry +conformational analysis +molecular structure}, + year = {1997} +} + + author = {Moré, J. and Wu, Z.}, + title = {Distance geometry optimization for protein structures}, + journal = {Journal of Global Optimization}, + volume = {15}, + number = {3}, + pages = {219-234}, + abstract = {We study the performance of the $\ssf{dgsol}$ code for the solution of distance geometry problems with lower and upper bounds on distance constraints. The $\ssf{dgsol}$ code uses only a sparse set of distance constraints, while other algorithms tend to work with a dense set of constraints either by imposing additional bounds or by deducing bounds from the given bounds. Our computational results show that protein structures can be determined by solving a distance geometry problem with $\ssf{dgsol}$ and that the approach based on $\ssf{dgsol}$ is significantly more reliable and efficient than multi-starts with an optimization code.}, + keywords = {global optimization +distance geometry +conformational analysis +molecular structure}, + year = {1999} +} + +@article{More2009_SIAM, + author = {More, J.J and Wild, S.M. }, + title = {Benchmarking derivative-free optimization algorithms}, + journal = {SIAM J. Optim.}, + volume = {20}, + pages = {172-191}, + year = {2009} +} + + author = {Morse, H. Stephen}, + title = {Practical parallel computing}, + publisher = {AP Professional}, + address = {Boston}, + note = {94032053 +H. Stephen Morse. +Pt. 1. Preliminaries. 1. The Status and Future of Massively Parallel Processing. 2. Can Parallel Machines Be Used Efficiently? 3. An Introduction to Hardware Architectures -- Pt. 2. Software Issues. 4. Shared Memory Parallel Language Constructs. 5. Message Passing. 6. SIMD and Array-Based Languages. 7. Linda. 8. The Development Environment for Parallel Software. 9. Operating System Issues -- Pt. 3. Management Issues. 10. Benchmarking Parallel Applications. 11. Porting and Developing Parallel Applications. 12. Matching Applications to Architectures. +Includes index.}, + keywords = {Parallel processing (Electronic computers)}, + year = {1994} +} + + author = {Motulsky, H. and Brown, R.}, + title = {Detecting outliers when fitting data with nonlinear regression - a new method based on robust nonlinear regression and the false discovery rate}, + journal = {BMC Bioinformatics}, + volume = {7}, + pages = {123-140}, + year = {2006} +} + +@incollection{Motzkin1953, + author = {Motzkin, T.S. and Raiffa, H. and Thompson, G.L. and Thrall, R.M.}, + title = {The double description method}, + booktitle = {Contribution to theory of games}, + editor = {Kuhn, H.W. and Tucker, A.W.}, + publisher = {Princeton University Press}, + address = {Princeton, RI}, + volume = {2}, + year = {1953} +} + +@misc{Mount_ANN, + author = {Mount, D.M.}, + title = {{ANN:} A Library for Approximate Nearest Neighbor Searching}, + volume = {2011}, + number = {September 2011}, + year = {2011} +} + + author = {Mount, D.W.}, + title = {Bioinformatics: Sequence and Genome Analysis}, + publisher = {CSHL Press}, + address = {Cold Spring Harbor, NY}, + year = {2004} +} + +@incollection{Muegge2001_inbook, + author = {Muegge, I. and Rarey, M.}, + title = {Small molecule docking and scoring}, + booktitle = {Reviews in Computational Chemistry}, + editor = {Lipkowitz, K.B. and Boyd, D.B.}, + publisher = {Wiley-VCH}, + address = {New York}, + volume = {17}, + pages = {1-60}, + keywords = {potential energy surface (PES) +molecular mechanics (MM) +molecular modelling +standard review +journal +protein +docking +lock-and-key}, + year = {2001} +} + +@article{Muhlbauer2009, + author = {Muhlbauer, A. and Spichtinger, P. and Lohmann, U.}, + title = {Application and Comparison of Robust Linear Regression Methods for Trend Estimation}, + journal = {Journal of Applied Meteorology and Climatology}, + volume = {48}, + pages = {1961-1970}, + abstract = {In this study, robust parametric regression methods are applied to temperature and precipitation time series in Switzerland and the trend results are compared with trends from classical least squares (LS) regression and nonparametric approaches. It is found that in individual time series statistically outlying observations are present that influence the LS trend estimate severely. In some cases, these outlying observations lead to an over-/underestimation of the trends or even to a trend masking. In comparison with the classical LS method and standard nonparametric techniques, the use of robust methods yields more reliable trend estimations and outlier detection.}, + year = {2009} +} + +@article{Mulansky1998_JAT, + author = {Mulansky, B. and Neamtu, M.}, + title = {Interpolation and approximation from convex sets}, + journal = {J. Approx. Theory}, + volume = {92}, + pages = {82-100}, + year = {1998} +} + +@article{Mulansky2000_JCAM, + author = {Mulansky, B. and Neamtu, M.}, + title = {Interpolation and approximation from convex sets II. Infinite-dimensional interpolation}, + journal = {J. Comp. Appl. Math.}, + volume = {119}, + pages = {333-346}, + year = {2000} +} + +@article{Muller1995, + author = {Müller, C. H.}, + title = {Breakdown points for designed experiments}, + journal = {Journal of Statistical Planning and Inference}, + volume = {45}, + number = {3}, + pages = {413-427}, + note = {0378-3758 +doi: DOI: 10.1016/0378-3758(94)00086-B}, + keywords = {Linear model +Breakdown point +Least median of squares +Least trimmed squares +Lp estimator +Optimal design}, + year = {1995} +} + +@inproceedings{Murofushi-Soneda-93, + author = {Murofushi, T. and Soneda, S.}, + title = {Techniques for reading fuzzy measures (iii): {I}nteraction index}, + booktitle = {9th Fuzzy Systems Symposium}, + address = {Sapporo, Japan}, + pages = {693-696}, + year = {1993} +} + +@inproceedings{Murofushi-Sugeno-91, + author = {Murofushi, T. and Sugeno, M.}, + title = {Non--additivity of fuzzy measures representing preferential dependence}, + booktitle = {2nd Int. Conf on Fuzzy Systems and Neural Networks}, + address = {Iizuka, Japan}, + pages = {617-120}, + year = {1992} +} + +@article{MuroSugeno-93, + author = {Murofushi, T. and Sugeno, M.}, + title = {Some quantities represented by the {C}hoquet integral}, + journal = {Fuzzy Sets and Systems}, + volume = {56}, + pages = {229-235}, + year = {1993} +} + + author = {Murtagh, B.A. and Saunders, M.A.}, + title = {MINOS 5.4 User's Guide}, + institution = {Systems Optimization Laboratory, Department of Operations Research, Stanford University}, + year = {1983} +} + +@article{Torra2005_TFS, + author = {Narukawa, Y. and Torra, V.}, + title = {Fuzzy Measure and Probability Distributions: Distorted Probabilities}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {13}, + pages = {617-629}, + year = {2005} +} + +@article{Narukawa2005_IJUFKS, + author = {Narukawa, Y. and Torra, V.}, + title = {Graphical interpretation of the twofold integral and its generalization}, + journal = {Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems}, + volume = {13}, + pages = {415 - 424}, + year = {2005} +} + +@article{Nayeem1991_jCompChem, + author = {Nayeem, A. and Vila, J. and Scheraga, H.A.}, + title = {A comparative study of the simulated annealing and Monte Carlo with minimization approaches to the minimum energy structures of polypeptides: met-enkephalin}, + journal = {J. Comp. Chem}, + volume = {12}, + pages = {594-605}, + year = {1991} +} + +@article{NelderMead, + author = {Nelder, J. A. and Mead, R.}, + title = {A simplex method for function minimization}, + journal = {Computer Journal}, + volume = {7}, + pages = {308-313}, + year = {1965} +} + +@article{Nelsen2007, + author = {Nelsen, R. and Quesada-Molina, J.J. and Rodriguez-Lallena, J.A. and Ubeda-Flores, M.}, + title = {On the construction of copulas and quasi-copulas with given diagonal sections}, + journal = {Mathematics and Economics}, + volume = {in press}, + year = {2007} +} + +@book{Nelsen1998_book, + author = {Nelsen, R.B.}, + title = {An Introduction to Copulas}, + publisher = {Springer}, + address = {Berlin}, + year = {1998} +} + +@article{Nelsen2004_JMA, + author = {Nelsen, R.B. and Quesada Molina, J.J. and Rodriguez Lallena, J.A. and Ubeda Flores, M.}, + title = {Best-possible bounds on sets of bivariate distribution functions}, + journal = {J. of Multivariate Analysis}, + volume = {90}, + pages = {348-358}, + year = {2004} +} + +@article{Nemethy1992, + author = {Némethy, G. and Gibson, K.D. and Palmer, K.A. and Yoon, C.N. and Paterlini, G. and Zagari, A. and Rumsey, S. and Scheraga, H.A.}, + title = {Energy parameters in polypeptides. 10. Improved geometrical parameters and nonbonded interactions for use in the ECEPP/3 algorithm, with application to proline-containing peptides}, + journal = {Journal of Physical Chemistry}, + volume = {96}, + number = {15}, + pages = {6472-6484}, + keywords = {empirical conformational energy program for peptides and proteins (ECEPP) +ECEPP/3 force field +geometry optimization +molecular mechanics (MM) +molecular modelling +molecular structure}, + year = {1992} +} + + author = {Némethy, G. and Pottle, M.S. and Scheraga, H.A.}, + title = {Energy parameters in polypeptides. 9. Updating of geometrical parameters, nonbonded interactions, and hydrogen bond interactions for the naturally occurring amino acids}, + journal = {Journal of Physical Chemistry}, + volume = {87}, + number = {11}, + pages = {1883-1887}, + keywords = {empirical conformational energy program for peptides and proteins (ECEPP) +ECEPP/2 force field +geometry optimization +molecular mechanics (MM) +molecular modelling +molecular structure}, + year = {1983} +} + +@article{Neumaier1997_siam, + author = {Neumaier, A.}, + title = {Molecular modeling of proteins and mathematical prediction of protein structure}, + journal = {SIAM Review}, + volume = {39}, + number = {3}, + pages = {407-460}, + abstract = {The mathematical formulation and solution of the protein folding problem is investigated. The problem involves the mathematical prediction of protein structure given the structure defined by the amino acid sequence of the protein. Among the main facets of the static problem in a mathematical viewpoint are selection of the proper potential energy function, parameter identification and global optimization of the potential.}, + keywords = {Protein folding Research +Proteins Structure +Biochemistry Research}, + year = {1997} +} + +@article{Neumaier2005_MP, + author = {Neumaier, A. and Shcherbina, O. and Huyer, W. and Vinko, T.}, + title = {A comparison of complete global optimization solvers}, + journal = {Math. Programming B}, + volume = {103 }, + pages = { 335-356}, + year = {2005} +} + + author = {Neykova, N. and Filzmoserb, P. and Dimovac, R. and Neytcheva, P.}, + title = {Robust fitting of mixtures using the trimmed likelihood estimator}, + journal = {Computational Statistics and Data Analysis}, + volume = {52}, + pages = {299-308}, + year = {2007} +} + + author = {Ngai, K. L. and Floudas, G. and Rizos, A. K.}, + title = {Distribution of Reorientational Times of Optically Anisotropic Molecular Liquids from Depolarized Light-Scattering Studies}, + journal = {Journal of Chemical Physics}, + volume = {106}, + number = {17}, + pages = {6957-6963}, + note = {Current Contents/Physical, Chemical and Earth Sciences +Reprint available from: Ngai KL USN RES LAB WASHINGTON, DC 20375 USA FDN RES and TECHNOL HELLAS INST ELECT STRUCT and LASER IRAKLION 71110 CRETE GREECE UNIV CRETE DEPT CHEM IRAKLION 71409 CRETE GREECE}, + abstract = {Several optically anisotropic glass-forming liquids have been studied by depolarized Rayleigh scattering in the region of the alpha relaxation. These liquids have a fourfold difference in T-g's, a fivefold difference in optical anisotropies gamma(eff)(2)'s, and a sevenfold difference in hydrodynamic volumes V-h's. The analysis of the distribution of relaxation times has been carried out using both the raw intensity data and the corresponding susceptibility representation of the same data. These results are combined with light scattering and dielectric data obtained at lower frequencies. Notwithstanding the great differences in T-g's, gamma(eff)(2)'s, and V-h's, the liquids show that their distributions of relaxation times from light scattering narrow with increasing temperature. In some, though not all, liquids, an unbiased analysis of the data indicates that the distribution tends to narrow towards a single exponential time (Debye) spectrum consistent with the extrapolation of the dielectric relaxation measurements from lower temperatures. The light-scattering results, consistent with dielectric and shear viscosity data, are discussed in their relation to current theoretical interpretations. (C) 1997 American Institute of Physics. [References: 66]}, + keywords = {Ortho-terphenyl. Neutron-scattering. Glass-transition. Supercooled +liquid. Alpha-relaxation. Dielectric-relaxation. Aroclor solutions. +Toluene solutions. Solvent mobility. Beta-relaxation. +Physical chemistry/chemical physics.}, + year = {1997} +} + +@book{Nguyen2000_book, + author = {Nguyen, H.T. and Walker, E.A.}, + title = {A First Course in Fuzzy Logic}, + publisher = {Chapman \& Hall}, + address = {Boca Raton}, + year = {2000} +} + +@article{Nguyen2010_CSDA, + author = {Nguyen, T. D. and Welsch, R.}, + title = {Outlier detection and least trimmed squares approximation using semi-definite programming}, + journal = {Computational Statistics & Data Analysis}, + volume = {DOI: 10.1016/j.csda.2009.09.037}, + note = {doi: DOI: 10.1016/j.csda.2009.09.037}, + year = {2010} +} + + author = {Nicholls, A.W. and Akira, K. and Lindon, J.C. and Farrant, R.D. and Wilson, I.D. and Harding, J. and Killick, D.A. and Nicholson, J.K.}, + title = {NMR spectroscopic and theoretical chemistry studies on the internal acyl migration reactions of the 1-O-acyl-b-D-glucopyranuronate conjugates of 2-, 3-, and 4-(trifluoromethyl)benzoic acids}, + journal = {Chemical Research in Toxicology}, + volume = {9}, + number = {8}, + pages = {1414-1424}, + keywords = {nuclear magnetic resonance (NMR) +molecular conformation}, + year = {1996} +} + + author = {Nickel, S. and Schobel, A.}, + title = {A geometric approach to global optimization}, + journal = {Journal of Global Optimization}, + volume = {15}, + number = {2}, + pages = {109-126}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Nickel S Univ Kaiserslautern, Fachbereich Math D-67653 Kaiserslautern Germany Univ Kaiserslautern, Fachbereich Math D-67653 Kaiserslautern Germany 0001 J. Glob. Optim}, + abstract = {In this paper we consider the problem of optimizing a piecewise-linear objective function over a non-convex domain. In particular we do not allow the solution to lie in the interior of a prespecified region R. We discuss the geometrical properties of this problems and present algorithms based on combinatorial arguments. In addition we show how we can construct quite complicated shaped sets R while maintaining the combinatorial properties. [References: 20] 20}, + keywords = {Reverse convex constraints. Geometric approach. Discretization. +Piecewise linear programs. +Simplex algorithm. Convex-functions. +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +1999 week 44 +Reprint available from: Nickel S. Univ Kaiserslautern, Fachbereich Math, +D-67653 Kaiserslautern, Germany, .}, + year = {1999} +} + + author = {Nicolai, T. and Floudas, G.}, + title = {Dynamics of Linear and Star Poly(Oxypropylene) Studied by Dielectric Spectroscopy and Rheology}, + journal = {Macromolecules}, + volume = {31}, + number = {8}, + pages = {2578-2585}, + note = {Current Contents/Physical, Chemical and Earth Sciences +Reprint available from: Nicolai T UNIV MAINE UMR CNRS F-72085 LE MANS 9 FRANCE FDN RES and TECHNOL HELLAS INST ELECT STRUCT and LASER IRAKLION 71110 CRETE GREECE}, + abstract = {We give a quantitative comparison of dielectric and viscoelastic relaxation of identical poly(oxypropylene) (POP) diols and triols with molar masses in the range 260-11 000 g/mol. The segmental relaxation probed in dielectric spectroscopy (DS) is slower by a factor of 8 +/- 1, while the conformational relaxation of the whole chain is faster by a factor of 2.5 +/- 0.5. The molar mass dependence of the conformational relaxation is close to the prediction of the Rouse model. POP diol with molar mass larger than 4000 g/L shows the influence of entanglement. A ''fast'' beta-relaxation with Arrhenius temperature dependence is observed in all samples by DS. Measurements made on very low molar mass samples show that hydroxyl end groups are involved in this relaxation. [References: 32]}, + keywords = {Poly(propylene glycol). Brillouin-scattering. Light-scattering. +Relaxation spectroscopy. Temperature. Polymers. Liquid. +Organic chemistry/polymer science.}, + year = {1998} +} + + author = {Nigra, P. and Kais, S.}, + title = {Pivot method for global optimization: a study of water clusters}, + journal = {Chem. Phys. Lett.}, + volume = {305}, + pages = {433-438}, + year = {1999} +} + + author = {Nilges, M.}, + title = {Structure calculation from NMR data}, + journal = {Current Opinion in Structural Biology}, + volume = {6}, + number = {5}, + pages = {617-623}, + abstract = {NMR calculation methods have kept pace with the rapid extension of NMR experiments to larger molecules. By including additional data and effects of local dynamics in the refinement, we can obtain a more complete picture of the molecule in solution. The structure determination process is being aided by new methods to solve some aspects of spectral assignment during the structure calculation.}, + keywords = {MD molecular dynamics +MDSA MD-based simulated annealing +NOE nuclear Overhauser effect +ROE rotating frame Overhauser effect}, + year = {1996} +} + + author = {Nilges, M. and Clore, G.M. and Gronenborn, A.M.}, + title = {Determination of three-dimensional structures of proteins from interproton distance data by hybrid distance geometry-dynamical simulated annealing calculations}, + journal = {FEBS Letters}, + volume = {229}, + pages = {317-324}, + keywords = {journal +Federation of European Biochemical Societies (FEBS) +distance geometry +nuclear magnetic resonance (NMR) +molecular structure +Simulated annealing +protein}, + year = {1988} +} + + author = {Nilges, M. and O'Donoghue, S.I.}, + title = {Ambiguous NOEs and automated NOE assignment}, + journal = {Progress in Nuclear Magnetic Resonance Spectroscopy}, + volume = {32}, + number = {2}, + pages = {107-139}, + keywords = {NMR +Nuclear magnetic resonance +Nuclear Overhauser effect +Simulated annealing +Distance geometry +Three-dimensional solution structureSymmetric oligomer}, + year = {1996} +} + + author = {Nobbs, S.F.}, + title = {Extraction, isolation and structural determination of organic compounds from Scaevola spinescens R. Br.}, + university = {University of Adelaide}, + notes = {Scaevola spinescens R. Br. is a plant used by aborigines as a traditional medicine for the treatment of some cancers. + +Supervisor: Simon Pyke}, + type = {PhD}, + keywords = {Scaevola spinescens R. Br. +S. spinescens R. Br. +natural product +nuclear magnetic resonance (NMR) +NOESY spectra +nuclear Overhauser effect (NOE) +distance geometry +molecular structure}, + year = {2001} +} + +@book{Nocedal1999_book, + author = {Nocedal, J. and Wright, S.}, + title = {Numerical Optimization}, + publisher = {Springer}, + address = {New York}, + year = {1999} +} + + author = {Nordlander, E.J. and Bund, A.F., IV and Bader, M.}, + title = {Program ATCOOR: A program for calculation and utilization of molecular atomic coordinates from bond parameters}, + journal = {Computers Chem.}, + volume = {9}, + pages = {209}, + year = {1985} +} + + author = {Norman Katz, I. and Vogl, Steven R.}, + title = {A Weiszfeld algorithm for the solution of an asymmetric extension of the generalized Fermat location problem}, + journal = {Computers & Mathematics with Applications}, + volume = {59}, + number = {1}, + pages = {399-410}, + note = {doi: DOI: 10.1016/j.camwa.2009.07.007}, + keywords = {Generalized Fermat location +Asymmetric distance +Weiszfeld algorithm}, + +} + +@misc{LPSOLVE, + author = {Notebaert, P. and Eikland, K. and Berkelaar, M.}, + title = {LP_SOLVE}, + volume = {2004}, + year = {2004} +} + +@article{Nunkesser2010_CSDA, + author = {Nunkesser, R. and Morell, O.}, + title = {An evolutionary algorithm for robust regression}, + journal = {Computational Statistics & Data Analysis}, + volume = {DOI: 10.1016/j.csda.2010.04.017}, + note = {doi: DOI: 10.1016/j.csda.2010.04.017}, + keywords = {Random search heuristics +Robust regression +Least trimmed squares (LTS) +Least median of squares (LMS) +Least quantile of squares (LQS) +Least quartile difference (LQD)}, + year = {2010} +} + + author = {NVIDIA}, + title = {www.nvidia.com/cuda}, + year = {2008} +} + + author = {Oezguen, N. and Adamian, L. and Xu, Y. and Rajarathnam, K. and Braun, W.}, + title = {Automated assignment and 3D structure calculations using combinations of 2D homonuclear and 3D heteronuclear NOESY spectra}, + journal = {Journal of Biomolecular NMR}, + volume = {22}, + number = {3}, + pages = {249-263}, + abstract = {The NOAH/DIAMOD suite uses feedback filtering and self-correcting distance geometry to generate 3D structures from unassigned NOESY spectra. In this study we determined the minimum set of experiments needed to generate a high quality structure bundle. Different combinations of 3D N-15-edited, C-13-edited HSQC-NOESY and 2D homonuclear H-1-H-1 NOESY spectra of the 77 amino acid protein, myeloid progenitor inhibitory factor-1 (MPIF-1) were used as input for NOAH/DIAMOD calculations. The quality of the assignments of NOESY cross peaks and the accuracy of the automatically generated 3D structures were compared to those obtained with a conventional manual procedure. Combining data from two types of experiments synergistically increased the number of peaks assigned unambiguously in both individual spectra. As a general trend for the accuracy of the structures we observed structural variations in the backbone fold of the final structures of about 2 Angstrom for single spectral data, of 1 Angstrom to 1.5 Angstrom for double spectral data, and of 0.6 Angstrom for triple spectral data sets. The quality of the assignments and 3D structures from the optimal data using all three spectra were similar to those obtained from traditional assignment methods with structural variations within the bundle of 0.6 Angstrom and 1.3 Angstrom for backbone and heavy atoms, respectively. Almost all constraints (97%) of the automatic NOESY cross peak assignments were cross compatible with the structures from the conventional manual assignment procedure, and an even larger proportion (99%) of the manually derived constraints were compatible with the automatically determined 3D structures. The two mean structures determined by both methods differed only by 1.3 Angstrom rmsd for the backbone atoms in the well-defined regions of the protein. Thus NOAD/DIAMOD analysis of spectra from labeled proteins provides a reliable method for high throughput analysis of genomic targets.}, + keywords = {nuclear magnetic resonance (NMR) +NOESY spectra +nuclear Overhauser effect (NOE) +molecular structure +chemokine +distance geometry +protein}, + year = {2002} +} + +@article{Ogryczak2003_EJOR, + author = {Ogryczak, W. and Sliwinski, T.}, + title = {On solving linear programs with the ordered weighted averaging objective}, + journal = {Europ. J. Oper. Res.}, + volume = {148}, + pages = {80-91}, + year = {2003} +} + +@inproceedings{OHagan1988, + author = {O'Hagan, M.O.}, + title = {Aggregating template or rule antecedents in real-time expert systems with fuzzy set logic}, + booktitle = {22nd Annual IEEE Asilomar Conf. Signals, Systems, Computers}, + publisher = {Pacific Grove, CA}, + pages = {681-689}, + year = {1988} +} + +@book{Okabe2000_book, + author = {Okabe, A. and Boots, B. and Sugihara, K. and Chiu, S. N.}, + title = {Spatial Tessellations: Concepts and Applications of Voronoi Diagrams}, + publisher = {John Wiley}, + address = {Chichester}, + edition = {2nd}, + year = {2000} +} + +@article{Hawkins2003_SPL, + author = {Olive, D.J. and Hawkins, D. M.}, + title = {Robust regression with high coverage}, + journal = {Statistics and Probability Letters}, + volume = {63}, + pages = {259-266}, + year = {2003} +} + +@misc{GANSO, + author = {Optimization, Centre for Informatics and Applied}, + title = {GANSO programming library}, + year = {2006} +} + + author = {Pakula, T. and Floudas, G.}, + title = {Dynamics and viscoelastic effects in block copolymers: Real and simulated systems BaltaCalleja FJ, Roslaniec Z}, + journal = {Block Copolymers}, + volume = {PG. 123-177. [Figures] [Plates]. BLOCK COPOLYMERS. PG. 123-177. 2000 [Figures] [Plates]. MARCEL DEKKER, 270 MADISON AVE, NEW YORK, NY 10016 USA. URL}, + pages = {http://www.dekker.com MARCEL DEKKER}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Pakula T Max Planck Inst Polymer Res Mainz Germany Max Planck Inst Polymer Res Mainz Germany 0006}, + keywords = {Current Book Contents in Current Contents(R)/Physical, Chemical and Earth +Sciences. +2001 week 03 +Reprint available from: Pakula T. Max Planck Inst Polymer Res, Mainz, +Germany, .}, + year = {2000} +} + +@book{Pallaschke1997_book, + author = {Pallaschke, D. and Rolewicz, S.}, + title = {Foundations of Mathematical Optimization}, + publisher = {Kluwer Academic Publishers}, + address = {Dordrecht}, + year = {1997} +} + + author = {Pande, V.S. and Rokhsar, D.S.}, + title = {Molecular dynamics simulations of unfolding and refolding of a b hairpin fragment of protein G}, + journal = {Proceedings of the National Academy of Science (USA)}, + volume = {96}, + pages = {9062–9067}, + keywords = {journal +National Academy of Science (USA) +protein +molecular modelling +molecular structure}, + year = {1999} +} + +@book{Pap2002_book, + author = {Pap, E.}, + title = {Handbook of measure theory}, + publisher = {North Holland/Elsevier}, + address = {Amsterdam, Boston}, + year = {2002 } +} + + author = {Papalexandri, K. P. and Pistikopoulos, E. N. and Floudas, A.}, + title = {Mass Exchange Networks for Waste Minimization - a Simultaneous Approach}, + journal = {Chemical Engineering Research and Design}, + volume = {72}, + number = {A3}, + pages = {279-294}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Pistikopoulos EN UNIV LONDON IMPERIAL COLL SCI TECHNOL and MED DEPT CHEM ENGN CTR PROC SYST ENGN PRINCE CONSORT RD LONDON SW7 2BY ENGLAND UNIV LONDON IMPERIAL COLL SCI TECHNOL and MED DEPT CHEM ENGN and CHEM TECHNOL LONDON SW7 2AZ ENGLAND PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0002}, + abstract = {The synthesis problem of mass-exchange networks is addressed in this paper, where a number of process streams, rich in terms of certain components (typically pollutants) are integrated with lean process or utility streams in order to meet process specifications (e.g. environmental regulations) on their final compositions. A mathematical programming approach is adopted, based on a hyperstructure representation of the mass exchange network. The synthesis problem is then formulated as a mixed integer nonlinear programming optimization problem (MINLP), where both network operating and investment cost are optimized simultaneously. In contrast to all previously published work that simplifies the problem by assuming decomposition based on the concept of 'pinch', this paper treats the synthesis of mass exchange networks without decomposition. In the first part, the case of a single component is examined, whereas mass exchange in multiple components can be handled in a straightforward manner. In the second part the approach is applied to reactive mass exchange networks, where chemical sorption takes place. In the third part, the mass exchange hyperstructure is extended to include regeneration of the lean streams. A number of examples illustrate the applicability of the proposed approach to several problems of waste minimization and demonstrate the impact of simultaneously minimizing operating and investment cost. [References: 26] 26}, + keywords = {Waste minimization. Mass exchange networks (mens). Minlp. +Chemical. +Reprint available from: Pistikopoulos EN. UNIV LONDON IMPERIAL COLL SCI +TECHNOL and MED, DEPT CHEM ENGN, CTR PROC SYST ENGN, PRINCE CONSORT RD.}, + year = {1994} +} + + author = {Pappu, R. V. and Hart, R. K. and Ponder, J. W.}, + title = {Analysis and application of potential energy smoothing and search methods for global optimization}, + journal = {Journal of Physical Chemistry B}, + volume = {102}, + number = {48}, + pages = {9725-9742}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Ponder JW Washington Univ, Sch Med, Dept Biochem and Mol Biophys St Louis, MO 63110 USA Washington Univ, Sch Med, Dept Biochem and Mol Biophys St Louis, MO 63110 USA 0016 J. Phys. Chem. B}, + abstract = {Global energy optimization of a molecular system is difficult due to the well-known "multiple minimum" problem. The rugged potential energy surface (PES) characteristic of multidimensional systems can be transformed reversibly using potential smoothing to generate a new surface that is easier to search for favorable configurations. The diffusion equation method (DEM) is one example of a potential smoothing algorithm. Potential smoothing as implemented in DEM is intuitively appealing and has certain appropriate statistical mechanical properties, but often fails to identify the global minimum even for relatively small problems. In the present paper, extensions to DEM capable of correcting its empirical behavior are systematically investigated. Two types of local search (LS) procedures are applied during the reversing schedule from the smooth deformed PES to the undeformed surface. Changes needed to generate smoothable versions of standard molecular mechanics force fields such as AMBER/OPLS and MM2 are also described. The resulting methods are applied in an attempt to determine the global energy minimum for a variety of systems in different coordinate representations. The problems studied include argon clusters, cycloheptadecane, capped polyalanine, and the docking of a-helices. Depending on the specific problem, potential smoothing and search (PSS) is performed in Cartesian, torsional, or rigid body space. For example, PSS finds a very low energy structure for cycloheptadecane with much greater efficiency than a search restricted to the undeformed potential surface. It is shown that potential smoothing is characterized by three salient features. As the level of smoothing is increased, unique minima merge into a common basin, crossings can occur in the relative energies of a pair of minima, and the spatial locations of minima are shifted due to the averaging effects of smoothing. Local search procedures improve the ability of smoothing methods to locate global minima because they facilitate the post facto correction of errors due to energy crossings that may have occurred at higher levels of smoothing. PSS methods should serve as useful tools for global energy optimization on a variety of difficult problems of practical interest. [References: 68] 68}, + keywords = {Diffusion equation method. Finding transition-states. Multiple-minima +problem. Conformational-analysis. Molecular-dynamics. Density +distribution. Helix packing. Force-field. Minimization. Clusters. +Physical Chemistry/Chemical Physics in Current Contents(R)/Physical, +Chemical and Earth Sciences. +1999 week 02 +Reprint available from: Ponder JW. Washington Univ, Sch Med, Dept Biochem +and Mol Biophys, St Louis, MO 63110, USA, .}, + year = {1998} +} + +@book{Pardalos2002_book, + author = {Pardalos, P. and Romeijn, H.E.}, + title = {Handbook of Global Optimization}, + publisher = {Kluwer Academic Publishers}, + address = {Dordrecht}, + volume = {2}, + year = {2002} +} + + author = {Pardalos, P.M.}, + title = {Approximation and Complexity in Numerical Optimization: Continuous and Discrete Problems}, + publisher = {Kluwer Academic Publishers}, + address = {Dordrecht}, + volume = {42}, + series = {Nonconvex Optimization and its Applications}, + abstract = {There has been much recent progress in approximation algorithms for nonconvex continuous and discrete problems, from both a theoretical and a practical perspective. In discrete (or combinatorial) optimization many approaches have been developed recently that link the discrete universe to the continuous universe through geometric, analytic, and algebraic techniques. Such techniques include global optimization formulations, semidefinite programming, and spectral theory. As a result new approximate algorithms have been discovered and many new computational approaches have been developed. Similarly, for many continuous nonconvex optimization problems, new approximate algorithms have been developed based on semidefinite programming and new randomization techniques. On the other hand, computational complexity, originating from the interactions between computer science and numerical optimization, is one of the major theories that have revolutionized the approach to solving optimization problems and to analyzing their intrinsic difficulty. The main focus of complexity is the study of whether existing algorithms are efficient for the solution of problems, and which problems are likely to be tractable. The quest for developing efficient algorithms leads also to elegant general approaches for solving optimization problems, and reveals surprising connections among problems and their solutions. The two themes of approximation and complexity pervade this book.}, + keywords = {global optimization}, + year = {2000} +} + +@book{Pardalos2000_book, + author = {Pardalos, P. M. and Floudas, C. A.}, + title = {Optimization in Computational Chemistry and Molecular Biology: Local and Global Approaches}, + publisher = {Kluwer Academic Publishers}, + address = {Boston}, + volume = {40}, + series = {Nonconvex Optimization and its Applications}, + note = {99089296 +edited by C.A. Floudas and P.M. Pardalos.}, + keywords = {Chemistry Mathematical models. +Molecular biology Mathematical models.}, + year = {2000} +} + +@book{Pardalos2002_handbook, + author = {Pardalos, P.M. and Resende, G.C.}, + title = {Handbook of Applied Optimization}, + publisher = {Oxford University Press}, + address = {New York ; Oxford}, + year = {2002} +} + + author = {Pardalos, P. M. and Rosen, J. B.}, + title = {Constrained global optimization: algorithms and applications}, + publisher = {Springer-Verlag}, + address = {Berlin; New York}, + note = {87020471 +P.M. Pardalos, J.B. Rosen. +Lecture notes in computer science; 268. +Includes bibliographies. +Lecture notes in computer science, 268.}, + keywords = {Mathematical optimization. +Nonlinear programming.}, + year = {1987} +} + + author = {Pardalos, P. M. and Shalloway, D. and Xue, G.}, + title = {Global Minimization of Nonconvex Energy Functions: Molecular Conformation and Protein Folding}, + publisher = {American Mathematical Society}, + volume = {23}, + series = {DIMACS Series in Discrete Mathematics and Theoretical Computer Science}, + abstract = {This book contains refereed papers presented at a remarkable interdisciplinary scientific meeting attended by a mix of leading biochemists and computer scientists held at DIMACS in March 1995. It describes the development of a variety of new methods which are being developed for attacking the important problem of molecular structure. + +Features: +Focuses on global optimization algorithms and heuristics for molecular conformation and protein folding problems +Presents the most efficient recent algorithms +Covers a spectrum of algorithmic issues and applications + +Contents +P. Amara, J. Ma, and J. E. Straub -- Global minimization on rugged energy landscapes +R. E. Bruccoleri -- Energy directed conformational search of protein loops and segments +R. H. Byrd, E. Eskow, A. van der Hoek, R. B. Schnabel, C.-S. Shao, and Z. Zou -- Global optimization methods for protein folding problems +B. W. Church, M. Oresic, and D. Shalloway -- Tracking metastable states to free-energy global minima +J. Gu and B. Du -- A multispace search algorithm for molecular energy minimization +H. A. Hauptman -- A minimal principle in the phase problem of X-ray crystallography +X. Hu, D. Xu, K. Hamer, K. Schulten, J. Koepke, and H. Michel -- Knowledge based structure prediction of the light-harvesting complex II of Rhodospirillum molishianum +J. Kostrowicki and H. A. Scheraga -- Some approaches to the multiple-minima problem in protein folding +P. Androulakis and C. A. Floudas -- A deterministic global optimization approach for the protein folding problem +J. J. Moré and Z. Wu -- $\varepsilon$-optimal solutions to distance geometry problems via global continuation +R. Pachter, Z. Wang, J. A. Lupo, S. B. Fairchild, and B. Sennett -- The design of chromophore containing biomolecules +A. T. Phillips, J. B. Rosen, and V. H. Walke -- Molecular structure determination by convex global underestimation of local energy minima +A. Sali, E. Shakhnovich, and M. Karplus -- Thermodynamics and kinetics of protein folding +G. Ramachandran and T. Schlick -- Beyond optimization: Simulating the dynamics of supercoiled DNA by a macroscopic model +M. Vieth, A. Kolinski, C. L. Brooks III, and J. Skolnick -- A hierarchical approach to the prediction of the quaternary structure of GCN4 and its mutants +G. L. Xue, A. J. Zall, and P. M. Pardalos -- Rapid evaluation of potential energy functions in molecular and protein conformations +M. M. Zacharias and D. G. Vlachos -- Simulated annealing calculations for optimization of nanoclusters: The roles of quenching, nucleation, and isomerization in cluster morphology}, + keywords = {American Mathematical Society (AMS) +global optimization}, + year = {1996} +} + +@article{PasRoul1977, + author = {Passow, E. and Roulier, J. A.}, + title = {Monotone and Convex Spline Interpolation}, + journal = {SIAM J. Numer. Anal.}, + volume = {14}, + pages = {904-909}, + abstract = {For a set of monotone (and/or convex) data, we consider the possibility of finding a spline interpolant, of pre-determined smoothness, which is monotone (and/or convex). The investigation is carried out by constructing an auxiliary set of points and using the well-known monotonicity and convexity preserving properties of Bernstein polynomials. In § 3 we consider the problem of piecewise monotone interpolation.}, + year = {1977} +} + + author = {Paternain, D. and Bustince, H. and Fernandez, J. and Beliakov, G. and Mesiar, R.}, + title = {Some averaging functions in image reduction}, + year = {2009} +} + +@inproceedings{Paternain2010_FUZZIEEE, + author = {Paternain, D. and Bustince, H. and Fernandez, J. and Beliakov, G. and Mesiar, R.}, + title = {Image reduction with local reduction operators}, + booktitle = { IEEE International Conference on Fuzzy Systems }, + address = {Barcelona, Spain}, + publisher = {IEEE}, + pages = {1-8}, + keywords = {image reconstruction +image resolution +mathematical operators +averaging function +image reduction +local reduction operator}, + year = {2010} +} + + author = {Paternain, D. and Bustince, H. and Fernandez, J. and Beliakov, G. and Mesiar, R.}, + title = {Image reduction with local reduction operators}, + booktitle = {2010 IEEE International Conference on Fuzzy Systems }, + pages = {1-8}, + keywords = {image reconstruction +image resolution +mathematical operators +averaging function +image reduction +local reduction operator}, + year = {2010} +} + +@article{PaternainLNCS_2010, + author = {Paternain, D. and Bustince, H. and Fernandez, J. and Beliakov, G. and Mesiar, R.}, + title = {Some Averaging Functions in Image Reduction}, + journal = {LNCS}, + volume = {6098}, + pages = {399-408}, + year = {2010} +} + + author = {Paternain, D. and Jurio, A. and Pagola, M. and Bustince, H. and Beliakov, G.}, + title = {One image reduction algorithm for RGB color images}, + publisher = {Atlantis Press}, + pages = {366-373}, + year = {2011} +} + +@incollection{Paternain2012_inbook, + author = {Paternain, D. and Lopez-Molina, C. and Bustince, H. and Mesiar, R. and Beliakov, G.}, + title = {Image Reduction Using Fuzzy Quantifiers}, + booktitle = {Advances in Intelligent and Soft Computing}, + editor = {Melo-Pinto, Pedro and Couto, Pedro and Serôdio, Carlos and Fodor, János and De Baets, Bernard}, + series = {Advances in Intelligent and Soft Computing}, + publisher = {Springer }, + address = {Berlin / Heidelberg}, + volume = {107}, + pages = {351-362}, + year = {2012} +} + + author = {Pathak, J. A. and Colby, R. H. and Floudas, G. and Jerome, R.}, + title = {Dynamics in miscible blends of polystyrene and poly(vinyl methyl ether)}, + journal = {Macromolecules}, + volume = {32}, + number = {8}, + pages = {2553-2561}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Colby RH Penn State Univ, Dept Mat Sci and Engn University Pk, PA 16802 USA Penn State Univ, Dept Mat Sci and Engn University Pk, PA 16802 USA Penn State Univ, Dept Chem Engn University Pk, PA 16802 USA FORTH, Inst Elect Struct and Laser Heraklion 71110 Crete Greece Univ Liege, Ctr Educ and Res Macromol B-4000 Liege Belgium 0021 Macromolecules}, + abstract = {We report results on the linear viscoelasticity (oscillatory shear in the temperature range T-g(glass-transition temperature) less than or equal to T less than or equal to T-g+ 90 K) of miscible blends of polystyrene (PS) and poly(vinyl methyl ether) (PVME) and segmental relaxations, measured by dielectric spectroscopy. The Flory-Huggins interaction parameter of this blend is weakly negative, and the glass transitions of the pure components are quite disparate (Delta T-g = 125 K). PS/PVME blends have been found to be consistently thermorheologically complex at both the segmental and terminal levels: the empirical time-temperature superposition (tTS) principle applies to neither their oscillatory shear response nor their dielectric response. Using the tube model, we quantitatively compare dielectric and mechanical results. At low temperatures, the effective time scale for motion of a Kuhn segment (the shortest Rouse mode) is near the long-time end of the distribution of segmental relaxation times of PVME, in both the pure and blended states. The slowest relaxing segments thus control the longer-time relaxation processes of the chains. Miscible blends with weak interactions and large Delta T-g have concentration fluctuations that broaden the distribution of segmental relaxation times. This distribution narrows as the temperature is raised in the blend, leading to the failure of tTS for terminal dynamics. [References: 88] 88}, + keywords = {Time-temperature superposition. Glass-transition temperature. Angle +neutron-scattering. Polymer blends. Polyvinyl methyl-ether). +Viscoelastic properties. Component dynamics. Phase-separation. +Segmental relaxation. Amorphous polymers. +Organic Chemistry/Polymer Science in Current Contents(R)/Physical, +Chemical and Earth Sciences. +1999 week 20 +Reprint available from: Colby RH. Penn State Univ, Dept Mat Sci and Engn, +University Pk, PA 16802, USA, .}, + year = {1999} +} + + author = {Patriksson, Michael}, + title = {A survey on the continuous nonlinear resource allocation problem}, + journal = {European Journal of Operational Research}, + volume = {185}, + number = {1}, + pages = {1-46}, + note = {doi: DOI: 10.1016/j.ejor.2006.12.006}, + keywords = {Convex programming +Inventory +Large scale optimization +Logistics +Nonlinear programming}, + year = {2008} +} + +@article{Pedrycz2008_EJOR, + author = {Pedrycz, W.}, + title = {Statistically grounded logic operators in fuzzy sets}, + journal = {Europ. J. Oper. Res.}, + volume = {193}, + pages = {520-529}, + year = {2009} +} + +@article{Pelupessy2003_AA, + author = {Pelupessy, F. I. and Schaap, W. E. and van de Weygaert, R.}, + title = {Density Estimators in Particle Hydrodynamics: DTFE versus regular SPH}, + journal = {Astron.Astrophys.}, + volume = {403}, + pages = {389-398}, + year = {2003} +} + +@article{Pena1999, + author = {Pena, D. and Yohai, V.}, + title = {A Fast Procedure for Outlier Diagnostics in Large Regression Problems}, + journal = {Journal of the American Statistical Association}, + volume = {94}, + number = {446}, + pages = {434-445}, + year = {1999} +} + + author = {Perkins, M.V. and Sampson, R.A.}, + title = {Stereoselective synthesis of dihydropyrone-containing marine natural products. Total synthesis and structural elucidation of (-)-membrenone-C}, + journal = {Organic Letters}, + volume = {3}, + number = {1}, + pages = {123-126}, + keywords = {journal +American Chemical Society (ACS) +chiral compound +chiral molecule +diastereoisomer}, + year = {2001} +} + + author = {Perkins, M.V. and Sampson, R.A.}, + title = {Total synthesis of (-)-(6S,7S,8S,9R,10S,2'S)-membrenone-A and (-)-(6S,7S,8S,9R,10S)-membrenone-B and structural assignment of (-)-membrenone-C}, + journal = {Organic Letters}, + volume = {4}, + number = {10}, + pages = {1655-1658}, + keywords = {journal +American Chemical Society (ACS) +chiral compound +chiral molecule +diastereoisomer}, + year = {2002} +} + +@article{Peters2011, + author = {Peters, Hagen and Schulz-Hildebrandt, Ole and Luttenberger, Norbert}, + title = {Fast in-place, comparison-based sorting with CUDA: a study with bitonic sort}, + journal = {Concurr. Comput. : Pract. Exper.}, + volume = {23}, + number = {7}, + pages = {681-693}, + year = {2011} +} + +@misc{Peters2012, + author = {Peters, H. and Schulz-Hildebrandt, O. and Luttenberger, N.}, + title = {A novel sorting algorithm for many-core architectures based on adaptive bitonic sort.}, + publisher = {IEEE}, + year = {2012} +} + + author = {Petychakis, L. and Floudas, G. and Fleischer, G.}, + title = {Chain Dynamics of Polyisoprene Confined in Porous Media - a Dielectric Spectroscopy Study}, + journal = {Europhysics Letters}, + volume = {40}, + number = {6}, + pages = {685-690}, + note = {Current Contents/Physical, Chemical and Earth Sciences +Reprint available from: Petychakis L FDN RES and TECHNOL HELLAS INST ELECT STRUCT and LASER POB 1527 IRAKLION 71110 CRETE GREECE UNIV LEIPZIG DEPT PHYS D-04103 LEIPZIG GERMANY}, + abstract = {The global dynamics of polyisoprene (PI) in the controlled porous glass (CPG) Bioran have been studied with dielectric spectroscopy by varying the end-to-end vector ([r(2)](1/2)) of the chain from dimensions smaller to much larger compared to the pore radius. Pulsed-field gradient NMR is used for the same systems and shows that all polymer chains are localized within the pores - no free PI exists. We find that the effect of confinement on the length scale of the chain relaxation shows both in the breadth and in the dynamics. In all cases the PI normal mode within the pores is significantly broadened with respect to bulk PI. The effect on the dynamics was found to depend on the size of the chain with respect to the pore radius. Silinization of the CPG has a pronounced effect on the amplitude and dynamics of the segmental and chain relaxations. [References: 17]}, + keywords = {Glass-transition. Liquids. Relaxation. Solvation. Behavior. Pores. +Physics.}, + year = {1997} +} + + author = {Pfeffer, F.M. and Gunnlaugsson, T. and Jensen, P. and Kruger, P.E.}, + title = {Anion recognition using preorganized thiourea functionalized [3]polynorbornane receptors}, + journal = {Organic Letters}, + volume = {7}, + number = {24}, + pages = {5357-5360}, + abstract = {A new family of [3]polynorbornane frameworks exhibiting conformationally preorganised thiourea receptors have been designed and synthesized specifically for anion recognition. These cleft-like receptors show excellent affinity for the biologically relevant dihydrogen-phosphate (H2PO4–) and hydrogenpyrophosphate (HP2O73– Hppi3–) anions.}, + year = {2005} +} + + author = {Pfeffer, F.M. and Gunnlaugsson, T. and Jensen, P. and Kruger, P.E.}, + title = {First examples of functionalised [3]polynorbornanes for anion recognition}, + journal = {Organic Letters}, + volume = {7}, + pages = {5357-5360}, + abstract = {A new family of [3]polynorbornane frameworks exhibiting conformationally preorganised thiourea receptors have been designed and synthesized specifically for anion recognition. These cleft-like receptors show excellent affinity for the biologically relevant dihydrogen-phosphate (H2PO4?) and hydrogenpyrophosphate (HP2O73? Hppi3?) anions.}, + year = {2005} +} + + author = {Phansalkar, V. V. and Thathachar, M. A. L.}, + title = {Local and Global Optimization Algorithms for Generalized Learning Automata}, + journal = {Neural Computation}, + volume = {7}, + number = {5}, + pages = {950-973}, + note = {Current Contents/Life Sciences Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Phansalkar VV INDIAN INST SCI DEPT ELECT ENGN BANGALORE 560012 KARNATAKA INDIA 0007}, + abstract = {This paper analyzes the long-term behavior of the REINFORCE and related algorithms (Williams 1986, 1988, 1992) for generalized learning automata (Narendra and Thathachar 1989) for the associative reinforcement learning problem (Barto and Anandan 1985). The learning system considered here is a feedforward connectionist network of generalized learning automata units. We show that REINFORCE is a gradient ascent algorithm but can exhibit unbounded behavior. A modified version of this algorithm, based on constrained optimization techniques, is suggested to overcome this disadvantage. The modified algorithm is shown to exhibit local optimization properties. A global version of the algorithm, based on constant temperature heat bath techniques, is also described and shown to converge to the global maximum. All algorithms are analyzed using weak convergence techniques. [References: 21] 21}, + keywords = {Reinforcement. +Neurosciences and behavior +Ai, robotics and automatic control. +Reprint available from: Phansalkar VV. INDIAN INST SCI, DEPT ELECT ENGN, +BANGALORE 560012, KARNATAKA.}, + year = {1995} +} + + author = {Phong, T. Q.}, + title = {An Algorithm for Solving General Dc Programming Problems}, + journal = {Operations Research Letters}, + volume = {15}, + number = {2}, + pages = {73-79}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Phong TQ INST NATL SCI APPL ROUEN LMI BP 08 F-76131 MONT ST AIGNAN FRANCE 0002}, + abstract = {We consider the problem of globally minimizing a d.c. (difference of two convex functions) function under d.c. constraints. Under a certain condition the problem can be reduced to an unconstrained d.c. minimization problem. A simple outer approximation algorithm is then proposed. [References: 8] 8}, + keywords = {Nonlinear. Dc programming. Global optimization. Outer approximation. +Global optimization. +General/management. +Reprint available from: Phong TQ. INST NATL SCI APPL ROUEN, LMI, BP 08, +F-76131 MONT ST AIGNAN.}, + year = {1994} +} + +@article{Pijavski1972, + author = {Pijavski, S.A.}, + title = {An algorithm for finding the absolute extremum of a function}, + journal = {USSR Comput. Math. and Math. Phys.}, + volume = {2}, + pages = {57-67}, + year = {1972} +} + + author = {Pillardy, Jaroslaw and Czaplewski, Cezary and Liwo, Adam and Lee, Jooyoung and Ripoll, Daniel R. and Kazmierkiewicz, Rajmund and Oldziej, Stanislaw and Wedemeyer, William J. and Gibson, Kenneth D. and Arnautova, Yelena A. and Saunders, Jeff and Ye, Yuan-Jie and Scheraga, Harold A.}, + title = {Recent improvements in prediction of protein structure by global optimization of a potential energy function}, + journal = {Proceedings of the National Academy of Sciences of the United States}, + volume = {98}, + number = {5}, + pages = {2329}, + abstract = {Recent improvements of a hierarchical ab initio or de novo approach for predicting both [Alpha] and [Beta] structures of proteins are described. The united-residue energy function used in this procedure includes multibody interactions from a cumulant expansion of the free energy of polypeptide chains, with their relative weights determined by Z-score optimization. The critical initial stage of the hierarchical procedure involves a search of conformational space by the conformational space annealing (CSA) method, followed by optimization of an all-atom model. The procedure was assessed in a recent blind test of protein structure prediction (CASP4). The resulting lowest-energy structures of the target proteins (ranging in size from 70 to 244 residues) agreed with the experimental structures in many respects. The entire experimental structure of a cyclic [Alpha]-helical protein of 70 residues was predicted to within 4.3 [Angstrom] [Alpha]-carbon ([C.sup.[Alpha]]) rms deviation (rmsd) whereas, for other [Alpha]-helical proteins, fragments of roughly 60 residues were predicted to within 6.0 [Angstrom] [C.sup.[Alpha]] rmsd. Whereas [Beta] structures can now be predicted with the new procedure, the success rate for [Alpha]/[Beta]- and [Beta]-proteins is lower than that for [Alpha]-proteins at present. For the [Beta] portions of [Alpha]/[Beta] structures, the [C.sup.[Alpha]] rmsd's are less than 6.0 [Angstrom] for contiguous fragments of 30-40 residues; for one target, three fragments (of length 10, 23, and 28 residues, respectively) formed a compact part of the tertiary structure with a [C.sup.[Alpha]] rmsd less than 6.0 [Angstrom]. Overall, these results constitute an important step toward the ab initio prediction of protein structure solely from the amino acid sequence.}, + keywords = {Polypeptides Physiological aspects +Proteins Structure +United States}, + year = {2001} +} + + author = {Pillardy, Jaroslaw and Liwo, Adam and Scheraga, Harold A.}, + title = {An efficient deformation-based global optimization method (self-consistent basin-to-deformed-basin mapping (SCBDBM)). Application to Lennard-Jones atomic clusters}, + journal = {Journal of Physical Chemistry A}, + volume = {103}, + number = {46}, + pages = {9370(8)}, + abstract = {The self-consistent basin-to-deformed-basin mapping method has been applied to global optimization of Lennard-Jones atomic clusters. This method has been demonstrated to be a very efficient method of global optimization.}, + keywords = {Mathematical optimization Technique +Protein folding Research}, + year = {1999} +} + +@book{Pinter2006_book, + author = {Pinter, J.}, + title = {Global Optimization with Maple}, + publisher = {Pintér Consulting Services Inc.}, + address = {Halifax}, + year = {2006} +} + +@misc{Pinter_LGO, + author = {Pinter, J.}, + title = {LGO solver suite for global and local optimization}, + year = {2006} +} + +@book{Pinter2007_book, + author = {Pinter, J.}, + title = {Applied Nonlinear Optimization in Modeling Environments}, + publisher = {CRC Press}, + address = {Boca Raton, FL}, + year = {2007} +} + +@book{Pinter1996_book, + author = {Pintér, J.}, + title = {Global Optimization in Action: Continuous and Lipschitz Optimization--Algorithms, Implementations, and Applications}, + publisher = {Kluwer Academic Publishers}, + address = {Dordrecht; Boston}, + series = {Nonconvex optimization and its applications; v. 6.}, + keywords = {Mathematical optimization. +Nonlinear programming.}, + year = {1996} +} + +@article{Pison2002, + author = {Pison, G. and Van Aelst, S. and Willems, G.}, + title = {Small Sample Corrections for LTS and MCD}, + journal = {Metrika}, + volume = {55}, + pages = {111-123}, + year = {2002} +} + + author = {Pispas, S. and Floudas, G. and Hadjichristidis, N.}, + title = {Microphase separation in ABC block copolymers with a short but strongly interacting middle block}, + journal = {Macromolecules}, + volume = {32}, + number = {26}, + pages = {9074-9077}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas G FORTH, Inst Elect Struct and Laser POB 1527 GR-71110 Iraklion Greece FORTH, Inst Elect Struct and Laser GR-71110 Iraklion Greece Univ Athens, Dept Chem GR-15771 Athens Greece 0053 Macromolecules}, + keywords = {Triblock copolymers. C-block. Isoprene. Styrene. Morphology. +16 +Organic Chemistry/Polymer Science in Current Contents(R)/Physical, +Chemical and Earth Sciences. +2000 week 05 +Reprint available from: Floudas G. FORTH, Inst Elect Struct and Laser, POB +1527, GR-71110 Iraklion, Greece.}, + year = {1999} +} + +@misc{Pitsoulis2009, + author = {Pitsoulis, L. and Zioutas, G.}, + title = {A Fast Algorithm for Robust Regression with Penalised Trimmed Squares}, + abstract = {The presence of groups containing high leverage outliers makes linear regression +a difficult problem due to the masking effect. The available high +breakdown estimators based on Least Trimmed Squares often do not succeed +in detecting masked high leverage outliers in finite samples. +An alternative to the LTS estimator, called Penalised Trimmed Squares +(PTS) estimator, was introduced by the authors in [28, 29] and it appears +to be less sensitive to the masking problem. This estimator is defined by +a Quadratic Mixed Integer Programming (QMIP) problem, where in the +objective function a penalty cost for each observation is included which +serves as an upper bound on the residual error for any feasible regression +line. Since the PTS does not require presetting the number of outliers +to delete from the data set, it has better efficiency with respect to other +estimators. However, due to the high computational complexity of the +resulting QMIP problem, exact solutions for moderately large regression +problems is infeasible. +In this paper we further establish the theoretical properties of the +PTS estimator, such as high breakdown and efficiency, and propose an +approximate algorithm called Fast-PTS to compute the PTS estimator +for large data sets efficiently. Extensive computational experiments on +sets of benchmark instances with varying degrees of outlier contamination, +indicate that the proposed algorithm performs well in identifying groups +of high leverage outliers in reasonable computational time.}, + year = {2009} +} + +@article{Pitsoulis2010, + author = {Pitsoulis, L. and Zioutas, G.}, + title = {A Fast Algorithm for Robust Regression with Penalised Trimmed Squares}, + journal = {Computational Statistics}, + volume = {just appeared in "Online First"}, + abstract = {The presence of groups containing high leverage outliers makes linear regression a difficult problem due to the masking effect. The available high breakdown estimators based on Least Trimmed Squares often do not succeed in detecting masked high leverage outliers in finite samples. An alternative to the LTS estimator, called Penalised Trimmed Squares (PTS) estimator, was introduced by the authors in Zioutas and Avramidis (2005) Acta Math Appl Sin 21:323–334, Zioutas et al. (2007) REVSTAT 5:115–136 and it appears to be less sensitive to the masking problem. This estimator is defined by a Quadratic Mixed Integer Programming (QMIP) problem, where in the objective function a penalty cost for each observation is included which serves as an upper bound on the residual error for any feasible regression line. Since the PTS does not require presetting the number of outliers to delete from the data set, it has better efficiency with respect to other estimators. However, due to the high computational complexity of the resulting QMIP problem, exact solutions for moderately large regression problems is infeasible. In this paper we further establish the theoretical properties of the PTS estimator, such as high breakdown and efficiency, and propose an approximate algorithm called Fast-PTS to compute the PTS estimator for large data sets efficiently. Extensive computational experiments on sets of benchmark instances with varying degrees of outlier contamination, indicate that the proposed algorithm performs well in identifying groups of high leverage outliers in reasonable computational time.}, + year = {January 7, 2009} +} + + author = {Plazek, D. J. and Bero, C. A. and Neumeister, S. and Floudas, G. and Fytas, G. and Ngai, K. L.}, + title = {Viscoelastic Properties of Amorphous Polymers .3 - Low Molecular Weight Poly(Methylphenylsiloxane)}, + journal = {Colloid and Polymer Science}, + volume = {272}, + number = {11}, + pages = {1430-1438}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Plazek DJ UNIV PITTSBURGH DEPT MAT SCI and ENGN PITTSBURGH, PA 15261 USA FDN RES and TECHNOL HELLAS IRAKLION GREECE USN RES LAB WASHINGTON, DC 20375 USA 0013}, + abstract = {By making creep and recoverable creep measurements of a nearly monodisperse low molecular weight poly(methyl phenyl siloxane) sample, we have found on decreasing temperature towards T-g that there is continuously a change in the viscoelastic spectrum concomitant with a decrease of the steady-state recoverable compliance. This behavior is exactly the same as previously observed in low molecular weight poly(styrene), proving that this spectacular anomaly in the viscoelasticity of low molecular weight polymers is general and deserves an explanation. Photon correlation spectroscopic measurements performed on the same sample have extended the observation of the viscoelastic response to shorter times and the result corroborates the trend of variation established by the creep data. [References: 29] 29}, + keywords = {Viscoelasticity. Creep compliance. Photon correlation spectroscopy. +Poly(methylphenylsiloxane). +Anomalous temperature-dependence. Poly(phenylmethyl siloxane). +Concentration fluctuations. Poly(propylene glycol). Terminal +dispersions. Glass-transition. Relaxation. Behavior. Dynamics. +Density. +Organic chemistry/polymer science. +Reprint available from: Plazek DJ. UNIV PITTSBURGH, DEPT MAT SCI and ENGN, +PITTSBURGH, PA 15261, USA.}, + year = {1994} +} + +@book{Polyanin1998, + author = {Polyanin, A.D. and Manzhirov, A.V.}, + title = {Handbook of integral equations}, + publisher = {CRC Press}, + address = {Boca Raton}, + year = {1998} +} + +@article{Powell2002, + author = {Powell, M.J.D.}, + title = {UOBYQA: unconstrained optimization by quadratic approximation}, + journal = {Mathematical Programming}, + volume = {92}, + pages = {555-582}, + year = {2002} +} + +@techreport{Powell2004, + author = {Powell, M.J.D.}, + title = {The NEWUOA software for unconstrained optimization without derivatives}, + institution = {Technical Report DAMTP NA2004/08, Department of Applied Mathematics and Theoretical Physics, Cambridge University, Cambridge CB3 9EW, UK }, + year = {2004} +} + +@incollection{Powell2006, + author = {Powell, M.J.D.}, + title = {The NEWUOA software for unconstrained optimization without derivatives }, + booktitle = {Large-Scale Nonlinear Optimization}, + series = {Nonconvex Optimization and Its Applications}, + publisher = {Springer US}, + pages = {255-297}, + abstract = {The NEWUOA software seeks the least value of a function F(x), x?Rn, when F(x) can be calculated for any vector of variables x. The algorithm is iterative, a quadratic model Q˜F being required at the beginning of each iteration, which is used in a trust region procedure for adjusting the variables. When Q is revised, the new Q interpolates F at m points, the value m = 2n + 1 being recommended. The remaining freedom in the new Q is taken up by minimizing the Frobenius norm of the change to ?2Q. Only one interpolation point is altered on each iteration. Thus, except for occasional origin shifts, the amount of work per iteration is only of order (m+n)2, which allows n to be quite large. Many questions were addressed during the development of NEWUOA, for the achievement of good accuracy and robustness. They include the choice of the initial quadratic model, the need to maintain enough linear independence in the interpolation conditions in the presence of computer rounding errors, and the stability of the updating of certain matrices that allow the fast revision of Q. Details are given of the techniques that answer all the questions that occurred. The software was tried on several test problems. Numerical results for nine of them are reported and discussed, in order to demonstrate the performance of the software for up to 160 variables.}, + year = {2006} +} + +@article{Pradera2012_FSS, + author = {Pradera, Ana and Beliakov, Gleb and Bustince, Humberto}, + title = {Aggregation functions and contradictory information}, + journal = {Fuzzy Sets and Systems}, + volume = {191}, + pages = {41-61}, + keywords = {Aggregation functions +Strong negations +Contradictory information +Bipolar aggregation}, + year = {2012} +} + + author = {Pradera, A. and Beliakov, G. and Bustince, H. and Fernandez, J.}, + title = {On (TS,N)-Fuzzy implications}, + pages = {93-98}, + year = {2011} +} + +@article{Pradera2002_ijar, + author = {Pradera, A. and Trillas, E. and Calvo, T.}, + title = {A general class of triangular norm-based aggregation operators: quasi-linear {T-S} operators}, + journal = {Intl. J. of Approximate Reasoning}, + volume = {30}, + pages = {57--72}, + year = {2002} +} + +@phdthesis{Prause1999_thesis, + author = {Prause, K.}, + title = {The Generalized Hyperbolic Model: Estimation, Financial Derivatives, and Risk Measures }, + university = {Albert-Ludwigs Universit\"at}, + type = {PhD Thesis}, + year = {1999} +} + + author = {Preisach, Christine and Burkhardt, Hans and Schmidt-Thieme, Lars and Decker, Reinhold and Verde, Rosanna and Irpino, Antonio}, + title = {A New Interval Data Distance Based on the Wasserstein Metric}, + booktitle = {Data Analysis, Machine Learning and Applications}, + series = {Studies in Classification, Data Analysis, and Knowledge Organization}, + publisher = {Springer Berlin Heidelberg}, + pages = {705-712}, + keywords = {Computer Science}, + year = {2008} +} + + author = {Press, A.H. and Teukolsky, S.A. and Vetterling, W.T. and Flannery, B.P.}, + title = {Numerical Recipes in Fortran 77: The Art of Scientific Computing}, + publisher = {Cambridge University Press}, + address = {New York}, + volume = {1}, + edition = {2nd}, + abstract = {FORTRAN subroutine library}, + keywords = {graduate text +standard text}, + year = {1996} +} + +@book{NR, + author = {Press, A.H. and Teukolsky, S.A. and Vetterling, W.T. and Flannery, B.P.}, + title = {Numerical Recipes in C: The Art of Scientific Computing }, + publisher = {Cambridge University Press}, + address = {New York}, + year = {2002} +} + + author = {Psarris, P. and Floudas, C. A.}, + title = {Robust Stability Analysis of Systems with Real Parametric Uncertainty - a Global Optimization Approach}, + journal = {International Journal of Robust and Nonlinear Control}, + volume = {5}, + number = {8}, + pages = {699-717}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA 0002}, + abstract = {This paper presents an optimization framework for the robustness analysis of linear and nonlinear systems with real parameter uncertainty. For linear systems, a nonlinear programming formulation for the exact calculation of the stability margin is presented. The potential of decomposition-based global optimization methods for the solution of this nonconvex problem is discussed. Next the concept of the stability margin is extended to a class of nonlinear systems. A nonlinear stability margin and a uniqueness margin are defined to address the effect of parametric uncertainty on the stability of a particular steady state, as well as on the number of steady states of the system. This analysis allows for the derivation of necessary and sufficient conditions for robust stability and robust uniqueness of the steady state of the system in the presence of parametric uncertainty. [References: 33] 33}, + keywords = {Robust stability analysis. Stability margin. Nonlinear stability +margin. Uniqueness margin. +Structured uncertainties. +Ai, robotics and automatic control. +Reprint available from: Floudas CA. PRINCETON UNIV, DEPT CHEM ENGN, +PRINCETON, NJ 08544, USA.}, + year = {1995} +} + + author = {Qi, Liqun and Sun, Defeng and Zhou, Guanglu}, + title = {A primal-dual algorithm for minimizing a sum of Euclidean norms}, + journal = {J. Comput. Appl. Math.}, + volume = {138}, + number = {1}, + pages = {127-150}, + note = {586836}, + year = {2002} +} + + author = {Qi, Liqun and Sun, Defeng and Zhou, Guanglu}, + title = {A primal-dual algorithm for minimizing a sum of Euclidean norms}, + journal = {Journal of Computational and Applied Mathematics}, + volume = {138}, + number = {1}, + pages = {127-150}, + note = {doi: DOI: 10.1016/S0377-0427(01)00357-0}, + keywords = {Primal-dual algorithm +Sum of norms +Semismooth +VLSL design +Euclidean facilities location +Steiner minimum trees}, + year = {2002} +} + + author = {Questier, F. and Walczak, B. and Massart, D.L. and Boucon, C. and de Jong, S.}, + title = {Feature selection for hierarchical clustering}, + journal = {Analytica Chimica Acta}, + volume = {466}, + number = {2}, + pages = {311-324}, + abstract = {Feature selection is a valuable technique in data analysis for information-preserving data reduction. This paper describes a feature selection approach for hierarchical clustering based on genetic algorithms using a fitness function that tries to minimize the difference between the dissimilarity matrix of the original feature set and the one of the reduced feature sets. Clustering trees based on reduced feature sets are comparable with those based on the complete feature set. Special measures to favor small reduced feature sets are discussed.}, + keywords = {journal +cluster analysis +analytical chemistry +optimisation +feature selection +genetic algorithm +hierarchical clustering}, + year = {2002} +} + + author = {Rabinowitz, F. Michael}, + title = {Algorithm 744: A stochastic algorithm for global optimization with constraints}, + journal = {ACM Transactions on Mathematical Software}, + volume = {21}, + number = {2}, + pages = {p194(20)}, + abstract = {A stochastic algorithm for determining the global optimum of an n-variabled function subject to common limitations is described. This algorithm, developed for moderate values of n, can also account for discontinuous objective and constraint functions. It can facilitate use of parallel processing. Comparison of the algorithm with Nelder-Mead Simplex algorithm and a Simulated Annealing Algorithm for nonlinear functions is discussed. Pseudocode listings are also given.}, + keywords = {Algorithms Analysis +Numerical analysis Technique +Mathematical optimization Technique +Mathematical software Standards}, + year = {1995} +} + + author = {Rabow, A. A. and Scheraga, H. A.}, + title = {Lattice Neural Network Minimization - Application of Neural Network Optimization for Locating the Global-Minimum Conformations of Proteins}, + journal = {Journal of Molecular Biology}, + volume = {232}, + number = {4}, + pages = {1157-1168}, + note = {Current Contents/Life Sciences. +Reprint available from: Rabow AA CORNELL UNIV BAKER LAB CHEM ITHACA, NY 14853 USA 0011}, + keywords = {Protein folding. Global optimization. Neural network optimization. +Lattice models. Chain-folding initiation sites. +Globular protein. Resolution. Chain. Model. Ribonuclease. +Simulations. Crambin. Nmr. +30 +Molecular biology and genetics. +Reprint available from: Rabow AA. CORNELL UNIV, BAKER LAB CHEM, ITHACA, +NY 14853, USA.}, + year = {1993} +} + +@article{ralescu-80, + author = {Ralescu, D. and Adams, G. }, + title = {The fuzzy integral}, + journal = {J. Math. Anal. Appl.}, + volume = {86}, + pages = {176-193}, + year = {1980} +} + +@article{Ramsay1988_SS, + author = {Ramsay, J.O.}, + title = {Monotone regression splines in action}, + journal = {Statistical Science}, + volume = {3}, + pages = {425-461}, + year = {1988} +} + + author = {Ratschek, H. and Rokne, J.}, + title = {New computer methods for global optimization}, + publisher = {Horwood; +Halsted Press}, + address = {Chichester, West Sussex, England +New York}, + note = {88023051 +H. Ratschek and J. Rokne. +Mathematics and its applications. +Includes index. +Bibliography: p. 199-221. +Mathematics and its applications (Chichester, England: 1988). Numerical analysis, statistics, and operational research.}, + keywords = {Mathematical optimization Data processing. +Interval analysis (Mathematics) Data processing.}, + year = {1988} +} + + author = {Reiter, G. and Castelein, G. and Hoerner, P. and Riess, G. and Sommer, J. U. and Floudas, G.}, + title = {Morphologies of diblock copolymer thin films before and after crystallization [Review]}, + journal = {European Physical Journal A}, + volume = {2}, + number = {4}, + pages = {319-334}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Reiter G CNRS, Inst Chim Surfaces and Interfaces 15 Rue Jean Starcky,BP 2488 F-68057 Mulhouse France CNRS, Inst Chim Surfaces and Interfaces F-68057 Mulhouse France Ecole Natl Super Chim F-68093 Mulhouse France Univ Freiburg D-79104 Freiburg Germany Fdn Res and Technol Hellas, Inst Elect Struct and Laser Heraklion 71110 Crete Greece 0003 Eur. Phys. J. E}, + abstract = {Spin-coated thin films of about 100 nm of low-molecular-weight hydrogenated poly(butadiene-b-ethyleneoxide) (PBh-PEO) diblock copolymers have been crystallized at various constant temperatures. Crystallization has been observed in real time by light microscopy. Detailed structural information was obtained by atomic force microscopy, mainly enabled by the large viscoelastic contrast between amorphous and crystalline regions. The behavior in thin films is compared to the bulk properties of the polymer. Crystallization started from an annealed microphase separated melt where optical microscopy indicated a lamellar orientation parallel to the substrate. A small difference in the length of the crystallizable block produced significantly different crystallization behavior, both in the bulk and in thin films. For thin films of the shortest diblock copolymer (45% PEO content) and for an undercooling larger than about 10 degrees, crystallization created vertically oriented lamellae. These vertical lamellae could be preferentially aligned over several micrometers when crystallization occurred close to a three-phase contact line. Annealing at temperatures closer to the melting point or keeping the sample at room temperature for several months allowed the formation of a lamellar structure parallel to the substrate. A tentative interpretation based on kinetically caused chain folding and relaxation within the crystalline state, with implications on general aspects of polymer crystallization, is presented. [References: 120] 120}, + keywords = {Atomic-force microscopy. Equilibrium melting temperature. Poly(ethylene +oxide) fractions. Polymer single-crystals. X-ray-scattering. +Block-copolymers. Microphase separation. Triblock copolymers. +Growth-rate. Syndiotactic polypropylene. +Applied Physics/Condensed Matter/Materials Science in Current +Contents(R)/Physical, Chemical and Earth Sciences. +2001 week 06}, + year = {2000} +} + +@article{Renaud2008_MCS, + author = {Renaud, J. and Levrat, E. and Fonteix, C.}, + title = {Weights determination of {OWA} operators by parametric identification}, + journal = {Mathematics and Computers in Simulation}, + volume = {77 }, + pages = {499?511}, + year = {2008} +} + + author = {Renders, Jean-Michel and Flasse, Stephane P.}, + title = {Hybrid methods using genetic algorithms for global optimization}, + journal = {IEEE Transactions on Systems, Man, and Cybernetics--Part B: Cybernetics}, + volume = {26}, + number = {2}, + pages = {p243(16)}, + abstract = {This paper discusses the trade-off between accuracy, reliability and computing time in global optimization. Particular compromises provided by traditional methods (Quasi-Newton and Nelder-Mead's Simplex methods) and Genetic Algorithms are addressed and illustrated by a particular application in the field of nonlinear system identification. Subsequently, new hybrid methods are designed, combining principles from Genetic Algorithms and "hill-climbing" methods in order to find a better compromise to the trade-off. Inspired by biology and especially by the manner in which living beings adapt themselves to their environment, these hybrid methods involve two interwoven levels of optimization, namely Evolution (Genetic Algorithms) and Individual Learning (Quasi-Newton), which cooperate in a global process of optimization. One of these hybrid methods appears to join the group of state-of-the-art global optimization methods: it combines the reliability properties of the Genetic Algorithms with the accuracy of Quasi-Newton method, while requiring a computation time only slightly higher than the latter.}, + keywords = {Mathematical optimization Research +Combinatorial optimization Research}, + year = {1996} +} + + author = {Rieping, W. and Habeck, M. and Bardiaux, B. and Bernard, A. and Malliavin, T.E. and Nilges, M.}, + title = {ARIA2: automated NOE assignment and data integration in NMR structure calculation }, + journal = {Bioinformatics }, + volume = {in press}, + year = {2006} +} + + author = {Rizos, A. K. and Floudas, G. and Brown, W.}, + title = {Local and Global Motions in Concentrated Solutions of Poly(Methyl Methacrylate) Bis(2-Ethylhexyl Phthalate)}, + journal = {Journal of Non-Crystalline Solids}, + volume = {172}, + number = {Part 2}, + pages = {790-793}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Rizos AK RES CTR CRETE POB 1527 GR-71409 IRAKLION GREECE UNIV CRETE DEPT CHEM GR-71409 IRAKLION GREECE MAX PLANCK INST POLYMER RES W-6500 MAINZ GERMANY UNIV UPPSALA INST PHYS CHEM S-75121 UPPSALA SWEDEN 0019}, + abstract = {Photon correlation spectra (PCS) of the polarized and depolarized component of the scattered light have been recorded in concentrated solutions of low molecular weight poly(methylmethacrylate) (PMMA) in bis(2 ethylhexyl phthalate) (DOP), in the temperature range 250-360 K. At high temperatures, T, above the glass transition temperature, T-g, PCS probes the concentration fluctuations, whereas at lower T the faster density fluctuations also appear in the same time window. Near T-g, the PCS in the depolarized mode detects orientation fluctuations in the mixture that exhibit very broad distributions of relaxation times (beta(KWW) approximate to 0.2). The results are described in terms of the Kohlrausch-Williams-Watts (KWW) relaxation function and discussed in terms of the coupling scheme of relaxation. [References: 14] 14}, + keywords = {Dynamic light-scattering. Poly(cyclohexyl methacrylate). Concentration +fluctuations. Relaxation spectroscopy. Dielectric-relaxation. +Temperature. Dependences. Density. System. +Applied physics/condensed matter. +Reprint available from: Rizos AK. RES CTR CRETE, POB 1527, GR-71409 +IRAKLION, GREECE.}, + year = {1994} +} + +@book{Robertson_book, + author = {Robertson, T. and Wright, F.T. and Dykstra, R.L.}, + title = {Order Restricted Statistical Inference}, + publisher = {Wiley}, + address = {Chichester ; New York}, + year = {1988} +} + +@book{Rockafellar1970_book, + author = {Rockafellar, R.T.}, + title = {Convex Analysis}, + publisher = {Princeton University Press}, + address = {Princeton}, + year = {1970} +} + +@article{RU2000_JR, + author = {Rockafellar, R.T. and Uryasev, S.}, + title = {Optimization of conditional value-at-risk}, + journal = {Journal of Risk}, + volume = {2}, + pages = {21-41}, + year = {2000} +} + +@article{RU2002_JBF, + author = {Rockafellar, R.T. and Uryasev, S.}, + title = {Conditional value-at-risk for general loss distributions}, + journal = {Journal of Banking and Finance}, + volume = {26}, + pages = {1443-1471}, + year = {2002} +} + + author = {Røgen, P. and Fain, B.}, + title = {Automatic classification of protein structure by using Gauss integrals}, + journal = {Proceedings of the National Academy of Science (USA)}, + volume = {100}, + number = {1}, + pages = {119-124}, + abstract = {We introduce a method of looking at, analyzing, and comparing protein structures. The topology of a protein is captured by 30 numbers inspired by Vassiliev knot invariants. To illustrate the simplicity and power of this topological approach, we construct a measure (scaled Gauss metric, SGM) of similarity of protein shapes. Under this metric, protein chains naturally separate into fold clusters. We use SGM to construct an automatic classification procedure for the CATH2.4 database. The method is very fast because it requires neither alignment of the chains nor any chain-chain comparison. It also has only one adjustable parameter. We assign 95.51% of the chains into the proper C (class), A (architecture), T (topology), and H (homologous superfamily) fold, find all new folds, and detect no false geometric positives. Using the SGM, we display a "map" of the space of folds projected onto two dimensions, show the relative locations of the major structural classes, and "zoom into" the space of proteins to show architecture, topology, and fold clusters. The existence of a simple measure of a protein fold computed from the chain path will have a major impact on automatic fold classification.}, + keywords = {journal +National Academy of Sciences (USA) +CATH protein database +scaled Gauss metric +structural genomics +knot theory}, + year = {2003} +} + + author = {Rogers, J. W. and Donnelly, R. A.}, + title = {Potential Transformation Methods for Large-Scale Global Optimization}, + journal = {SIAM Journal on Optimization}, + volume = {5}, + number = {4}, + pages = {871-891}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Rogers JW AUBURN UNIV DEPT MATH AUBURN, AL 36849 USA AUBURN UNIV DEPT CHEM AUBURN, AL 36849 USA 0008}, + abstract = {Several techniques for global optimization treat the objective function f as a force field potential. In the simplest case, trajectories of the differential equation mx = -del f sample regions of low potential while retaining the energy to surmount passes that might block the way to regions of even lower local minima. A potential transformation is an increasing function V:R --> R. It determines a new potential g = V(f) with the same minimizers as f, and new trajectories satisfying mx = -del g = -df/dV del f. We discuss a class of potential transformations that greatly increase the df attractiveness of low local minima and that provide, as a special case, a new approach to an equation proposed by Griewank for global optimization. Practical methods for implementing these ideas are discussed. [References: 36] 36}, + keywords = {Generalized descent. Global optimization. Newtonian dynamics. +Potential transformation methods. Pt methods. Snifr. +Multiple-minima problem. Molecular-dynamics. Conformational space. +Energy surfaces. Minimization. Algorithm. Mechanics. Search. +Mathematics. +Reprint available from: Rogers JW. AUBURN UNIV, DEPT MATH, AUBURN, AL +36849, USA.}, + year = {1995} +} + + author = {Rojnuckarin, A. and Floudas, C. A. and Rabitz, H. and Yetter, R. A.}, + title = {Optimal Control of a Plug Flow Reactor with a Complex Reaction Mechanism}, + journal = {Journal of Physical Chemistry}, + volume = {97}, + number = {45}, + pages = {11689-11695}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT MECH and AEROSP ENGN PRINCETON, NJ 08544 USA 0023}, + abstract = {Optimal control problems appear frequently in chemical reactor design. We study the application of a strategy belonging to the class known as gradient methods in function space to solve such problems by discretization of the function space and an iterative conjugate gradient algorithm. The algorithm is applied to a plug flow reactor model with various levels of reaction mechanism complexities. The examples, in which the properties of the algorithm are examined in detail, range from the control of the first-order reaction model of a hexane isomerization mechanism to the control of oscillation patterns and mechanistic re-routing in the oscillatory Belouzov-Zhabotinski reaction. The algorithm is successful in treating these highly nonlinear systems and hence provides a prospect of solving other complicated nonlinear optimal reactor control problems. [References: 19] 19}, + keywords = {Belousov-zhabotinsky reaction. Chaos. +Physical chemistry/chemical physics. +Reprint available from: Floudas CA. PRINCETON UNIV, DEPT CHEM ENGN, +PRINCETON, NJ 08544, USA.}, + year = {1993} +} + + author = {Rojnuckarin, A. and Floudas, C. A. and Rabitz, H. and Yetter, R. A.}, + title = {Methane Conversion to Ethylene and Acetylene - Optimal Control with Chlorine, Oxygen, and Heat Flux}, + journal = {Industrial and Engineering Chemistry Research}, + volume = {35}, + number = {3}, + pages = {683-696}, + note = {Current Contents/Engineering, Technology and Applied Sciences. +Reprint available from: Rabitz H PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT MECH and AEROSP ENGN PRINCETON, NJ 08544 USA 0006}, + abstract = {In this paper, an optimal control strategy is applied to the problem of finding the flux profiles for the conversion of methane to ethylene and acetylene in a plug flow reactor. A chlorine-catalyzed oxidative pyrolysis mechanism is used in the calculations, in which two mechanistic pathways to the C-2 products were examined. One involves CH3Cl and/or CH2Cl, and the other involves C2H6 and/or C2H5 as reaction intermediates. Optimal control designs were performed with respect to the final mass fractions of ethylene and acetylene in a plug flow reactor using heat, oxygen, and chlorine fluxes as controls. The simulation results show that for the temperatures (1200 K < T < 1900 K) and pressure (P = 1 atm) considered, C2H4 is formed initially, which is subsequently converted to C2H2. Because of the abundant supply of H-2 formed during the reaction, it is possible to reform C2H4 from C2H2 by controlled extraction of energy. The heat flux plays the most important role in determining the final concentration of the desired C-2 products by controlling the temperature and the rate of H-atom radical generation, and thus, the interconversion between C2H2 and C2H4 through the C2H3 radical. The solutions obtained, although not proven to be globally optimal, are of very high quality. More than 40% yield of the desired C-2 products, either ethylene or acetylene, can be obtained in all cases. [References: 32] 32}, + keywords = {Reaction-mechanism. Homogeneous pyrolysis. Oxidative-pyrolysis. Ch3cl. +Optimization. C2h2. +Chemical engineering. +Reprint available from: Rabitz H. PRINCETON UNIV, DEPT CHEM ENGN, +PRINCETON, NJ 08544, USA.}, + year = {1996} +} + +@inproceedings{Roubens-96, + author = {Roubens, M.}, + title = {Interaction between criteria and definition of weights in {MCDA} problems}, + booktitle = {44th Meeting of the European Working Group Multicriteria Aid for Decisions}, + address = {Brussels, Belgium}, + year = {1996} +} + +@book{Roubens1989_book, + author = {Roubens, M. and Vincke, P.}, + title = { Preference Modeling}, + publisher = {Springer}, + address = {Berlin}, + year = {1989} +} + +@article{Rousseeuw1984_JASA, + author = {Rousseeuw, P.J.}, + title = {Least median of squares regression}, + journal = {J. Amer. Statist. Assoc}, + volume = {79}, + pages = {871-880}, + year = {1984} +} + +@article{Rousseeuw1993_JASA, + author = {Rousseeuw, P.J. and Croux, C.}, + title = {Alternatives to the Median Absolute Deviation}, + journal = {J. Amer. Statist. Assoc}, + volume = {88}, + pages = {1273-1283}, + year = {1993} +} + +@book{Rousseeuw1987_book, + author = {Rousseeuw, P.J. and Leroy, A.M.}, + title = {Robust Regression and Outlier Detection}, + publisher = {Wiley}, + address = {New York}, + year = {2003} +} + +@article{Rousseeuw2006_DMKD, + author = {Rousseeuw, P.J. and Van Driessen, K.}, + title = {Computing LTS Regression for Large Data Sets }, + journal = {Data Mining and Knowledge Discovery}, + volume = {12}, + pages = {29-45}, + year = {2006} +} + + author = {RoyChowdhury, Pinaki and Singh, Y. P. and Chansarkar, R. A.}, + title = {Hybridization of Gradient Descent Algorithms with Dynamic Tunneling Methods for Global Optimization}, + journal = {IEEE Transactions on Systems, Man, and Cybernetics--Part A: Systems and Humans}, + volume = {30}, + number = {3}, + pages = {384}, + abstract = {An algorithm based on gradient descent techniques with dynamic tunneling methods for global optimization is proposed. The proposed algorithm consists of gradient descent for local search and a direct search scheme, based on dynamic tunneling technique, for repelling away from local minimum to find the point of next local descent. This search process applied repeatedly finds the global minimum of an objective function. The convergence properties of the proposed algorithm is validated experimentally on benchmark problems. A comparative computational results confirm the importance of dynamic tunneling in gradient descent techniques. +Index Terms--Dynamic tunneling, global optimization, Lipschitz condition.}, + year = {2000} +} + + author = {Rubinov, A.}, + title = {An Equilibrium in Dynamic Models of a Linearly Homogeneous Economy}, + journal = {Journal of Mathematical Economics}, + volume = {24}, + number = {2}, + pages = {179-200}, + abstract = {An approach for determining an equilibrium in dynamic models of a linearly homogeneous economy is proposed; at every time the participants find an equilibrium of a certain static model with fixed budgets in the framework of this approach. The dynamic nature of the model is used in forming the budgets. The existence of equilibrium is proved by the convex analysis only. [References: 8] 8}, + keywords = {Dynamic models of equilibrium. Equilibrium with fixed budgets. Linearly +homogeneous economy. +Economics. +Reprint available from: Rubinov A. BEN GURION UNIV NEGEV, DEPT MATH and +COMP SCI, IL-84105 BEER SHEVA, ISRAEL.}, + year = {1995} +} + +@article{Rubinov2001_Optimization, + author = {Rubinov, A. and Singer, I.}, + title = {Topical and sub-topical functions, downward sets and abstract convexity}, + journal = {Optimization}, + volume = {50}, + pages = {301-357}, + year = {2001} +} + +@article{Rubinov2008_MathProg, + author = {Rubinov, A. and Wu, Z. Y.}, + title = {Optimality conditions in global optimization and their applications }, + journal = {Mathematical Programming, B}, + pages = {in press DOI 10.1007/s10107-007-0142-4}, + year = {2006} +} + +@book{Rubinov2000_book, + author = {Rubinov, A.M.}, + title = {Abstract Convexity and Global Optimization}, + publisher = {Kluwer Academic Publishers}, + address = {Dordrecht; Boston}, + volume = {44}, + series = {Nonconvex optimization and its applications}, + keywords = {Mathematical optimization. +Convex programming.}, + year = {2000} +} + +@article{Rubinov1999_jgo, + author = {Rubinov, A. M. and Andramonov, M. Y.}, + title = {Minimizing increasing star-shaped functions based on abstract convexity}, + journal = {Journal of Global Optimization}, + volume = {15}, + number = {1}, + pages = {19-39}, + abstract = {We study a broad class of increasing non-convex functions whose level sets are star shaped with respect to infinity. We show that these functions (we call them ISSI functions) are abstract convex with respect to the set of min-type functions and exploit this fact for their minimization. An algorithm is proposed for solving global optimization problems with an ISSI objective function and its numerical performance is discussed. [References: 23] 23}, + keywords = {Abstract convexity. Global optimization. Increasing function. +Sets. +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +1999 week 37 +Reprint available from: Rubinov A.M. Univ Ballarat, Sch Informat Technol and +Math Sci, Ballarat, Vic 3353, Australia.}, + year = {1999} +} + + author = {Rubinov, A. M. and Glover, B. and Figures}, + title = {Reformulation of a problem of economic equilibrium Fukishima M, Qi LQ}, + journal = {Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods}, + volume = {22 PG. 335-354. 1999 [Figures]. REFORMULATION}, + pages = {NONSMOOTH}, + keywords = {Arrow-debreu equilibrium. Directional differentiability. Piecewise +smooth optimization. +None +Current Book Contents in Current Contents(R)/Engineering, Computing and +Technology. +1999 week 22 +Reprint available from: Rubinov AM. Univ Ballarat, Sch Informat Technol and +Math Sci, Ballarat, Vic 3353, Australia.}, + year = {1999} +} + + author = {Rubinov, A. M. and Glover, B. M.}, + title = {Duality for Increasing Positively Homogeneous Functions and Normal Sets}, + journal = {Rairo-Recherche Operationnelle-Operations Research}, + volume = {32}, + number = {2}, + pages = {105-123}, + abstract = {A nonlinear duality operation is defined for the class of increasing positively homogeneous functions defined on the positive orthant (including zero). This class of function and the associated class of normal sets are used extensively in Mathematical Economics. Various examples are provided along with a discussion of duality for a class of optimization problems involving increasing functions and normal sets. (C) Elsevier Paris. [References: 15]}, + keywords = {Increasing functions. Positively homogeneous functions. Duality. +Conjugacy operators. Normal sets. Mathematical economics. +Engineering mathematics.}, + year = {1998} +} + + author = {Rubinov, A. M. and Glover, B. M.}, + title = {Increasing convex-along-rays functions with applications to global optimization}, + journal = {Journal of Optimization Theory and Applications}, + volume = {102}, + number = {3}, + pages = {615-642}, + abstract = {Increasing convex-along-rays functions are defined within an abstract convexity framework. The basic properties of these functions including support sets and subdifferentials are outlined. Applications are provided to unconstrained global optimization using the concept of excess function. [References: 10] 10}, + keywords = {Abstract convexity. Min-type functions. Convex-along-rays functions. +Subdifferentials. Global optimum. Excess function. +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +1999 week 41 +0008 +J. Optim. Theory Appl}, + year = {1999} +} + +@book{Rubinov2000_book1, + author = {Rubinov, A. M. and Glover, B. M.}, + title = {Optimization and Related Topics}, + publisher = {Kluwer Academic Publishers}, + address = {Boston}, + keywords = {Mathematical optimization.}, + year = {2000} +} + + author = {Rubinov, A. M. and Glover, B. M. and Yang, X. Q.}, + title = {Decreasing functions with applications to penalization}, + journal = {SIAM Journal on Optimization}, + volume = {10}, + number = {1}, + pages = {289-313}, + abstract = {The theory of increasing positively homogeneous functions defined on the positive orthant is applied to the class of decreasing functions. A multiplicative version of the inf-convolution operation is studied for decreasing functions. Modified penalty functions for some constrained optimization problems are introduced that are in general nonlinear with respect to the objective function of the original problem. As the perturbation function of a constrained optimization problem is decreasing, the theory of decreasing functions is subsequently applied to the study of modified penalty functions, the zero duality gap property, and the exact penalization. [References: 19] 19}, + keywords = {Decreasing functions. Iph functions. Multiplicative inf-convolution. +Modified penalty functions. Exact penalization. +Constrained optimization. Convex. +Mathematics in Current Contents(R)/Physical, Chemical and Earth Sciences. +2000 week 06 +Reprint available from: Rubinov AM. Univ Ballarat, Sch Informat Technol and +Math Sci, Ballarat, Vic 3353, Australia.}, + year = {1999} +} + + author = {Rubinov, A. M. and Singer, I.}, + title = {Best approximation by normal and conormal sets}, + journal = {Journal of Approximation Theory}, + volume = {107}, + number = {2}, + pages = {212-243}, + abstract = {The aim of the present paper is to develop a theory of best approximation by elements of so-called normal sets and their complements-conormal sets in the non-negative orthant R-+(I) of a finite-dimensional coordinate space R-I endowed with the max-norm. A normal respectively. conormal) set arises as the set of all solutions of a system of inequalities f(alpha)(x) less than or equal to 0 (alpha is an element ofA). x is an element of R-+(I) (respectively. f(alpha)(x) greater than or equal to 0 (alpha is an element of A). x is an element of R-+(I)), where f(alpha) is an increasing function and A is an arbitrary set of. indices. We consider there sets as analogues tin a certain sense) of convex sets, and we use the so-called min-type functions as analogues of linear functions. We show that many results on best approximation by convex and reverse convex sets and corresponding separation theory (but not all of them) have analogues in the case under consideration. At the same time there are no convex analogues for many results related to best approximation by normal sets. (C) 2000 Academic Press. [References: 11] 11}, + keywords = {Mathematics in Current Contents(R)/Physical, Chemical and Earth Sciences. +2001 week 08}, + year = {2000} +} + + author = {Rubinov, A. M. and Uderzo, A.}, + title = {On global optimality conditions via separation functions}, + journal = {Journal of Optimization Theory and Applications}, + volume = {109}, + number = {2}, + pages = {345-370}, + abstract = {The paper examines some axiomatic definitions of separation functions that can be employed fruitfully in the analysis of side-constrained extremum problems. A study of their general properties points out connections with abstract convex analysis and recent generalizations of Lagrangian approaches to duality and exact penalty methods. Many concrete examples are brought out. [References: 10] 10}, + keywords = {Separation functions. Theorems of the alternative. Abstract convexity. +Duality. Side-constrained optimization. Image space analysis. +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +2001 week 28}, + year = {2001} +} + + author = {Rubinov, A. M. and Vladimirov, A. A.}, + title = {Differences of convex compacta and metric spaces of convex compacta with applications: A survey}, + booktitle = {Quasidifferentiability and Related Topics}, + pages = {263-296}, + keywords = {Differences of convex compact sets. ---difference. D-difference. +D-metric. Bp-metric. D-regular sets. +None +Current Book Contents in Current Contents(R)/Physical, Chemical and Earth +Sciences. +2001 week 02 +Reprint available from: Rubinov AM. Univ Ballarat, Sch Informat Technol and +Math Sci, Ballarat, Vic 3353, Australia.}, + year = {2000} +} + + author = {Rubinov, A. M. and Zaslavski, A. J.}, + title = {Existence and uniqueness of a solution for a minimization problem with a generic increasing function}, + journal = {Journal of the Australian Mathematical Society Series A-Pure Mathematics and Statistics}, + volume = {67}, + number = {Part 1}, + pages = {85-103}, + abstract = {In this paper we study the existence and uniqueness of a solution for minimization problems with generic increasing functions in an ordered Banach space X. The standard approaches are not suitable in such a setting. We propose a new type of perturbation adjusted for the problem under consideration, prove the existence and point out sufficient conditions providing the uniqueness of a solution. These results are proved by assuming that the space X enjoys the following property: each decreasing norm-bounded sequence has a limit. We supply a counterexample, which shows that this property is essential and give a modification of obtained results for the space C(T), which does not possess this property. [References: 9] 9}, + keywords = {Increasing function. Optimization. Generic property. Ordered banach +space. +Mathematics in Current Contents(R)/Physical, Chemical and Earth Sciences. +1999 week 38 +Reprint available from: Rubinov AM. Univ Ballarat, Sch Informat Technol and +Math Sci, Ballarat, Vic 3353, Australia.}, + year = {1999} +} + + author = {Rubinov, A. R. and Timkovsky, V. G.}, + title = {Non-Similarity Combinatorial Problems}, + journal = {Biosystems}, + volume = {30}, + number = {1-3}, + pages = {81-92}, + abstract = {Similarity problems intensively investigated in computational molecular biology have the following two stringology models: find the longest string included in any string of a given finite language, and find the shortest string including every string of a given finite language. These two problems are exemplified by the two well-known pairs of problems, the longest common subsequence (or substring) problem and the shortest common supersequence (or superstring) problem. interpretations. In this paper we consider opposite problems connected with string non-inclusion relations: find the shortest string included in no string of a given finite language and find the longest string including no string of a given finite language. The predicate ''string alpha is not included in string beta'' is interpreted either as ''alpha is not a subsequence of beta'' or as ''alpha is not a substring of beta''. The main purpose is to determine the complexity status of the non-similarity problems. Using graph approaches, we present NP-hardness proofs for the first interpretation and polynomial-time algorithms for the second one. Special cases of the problems, and related issues are discussed. [References: 16] 16}, + keywords = {Molecular biology and genetics. +Reprint available from: Rubinov AR. NATL TRANSPORT INST, DEPT TRANSPORTAT +CONTROL, 10 TRETYA MYTISHCHINSKAYA ST, MOSCOW 129851.}, + year = {1993} +} + +@book{Rudin191_book, + author = {Rudin, W.}, + title = {Functional Analysis}, + publisher = {McGraw-Hill}, + address = {New York}, + year = {1991} +} + + author = {Runkler, T. A. and Bezdek, J. C.}, + title = {Function approximation with polynomial membership functions and alternating cluster estimation}, + journal = {Fuzzy Sets and Systems}, + volume = {101}, + number = {2}, + pages = {207-218}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Runkler TA Siemens AG, Corp Technol D-81730 Munich Germany Siemens AG, Corp Technol D-81730 Munich Germany Univ W Florida, Dept Comp Sci Pensacola, FL 32514 USA 0002 Fuzzy Sets Syst}, + abstract = {Nonlinear functions are often approximated using local linear models. Sets of local linear models can be represented as a first-order Takagi Sugeno (TS) system. Triangular and trapezoidal left-hand side membership functions are not compatible with TS systems because they lead to non-differentiable input-output characteristics. We develop a method to determine parameters of piecewise quadratic membership functions to obtain characteristics which exactly match the rule centers and the corresponding slopes. The right-hand side parameters are obtained using (i) fuzzy c-elliptotypes alternating optimization and (ii) alternating cluster estimation. In our experiments the smoothest and most accurate approximations are obtained with piecewise quadratic membership functions and alternating cluster estimation. (C) 1999 Elsevier Science B.V. All rights reserved. [References: 12] 12}, + keywords = {Function approximation. Membership function extraction. Takagi-sugeno +model. Clustering. Elliptotypes. Alternating cluster estimation. +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +1999 week 01 +Reprint available from: Runkler TA. Siemens AG, Corp Technol, D-81730 +Munich, Germany, .}, + year = {1999} +} + + author = {Rusiecki, Andrzej and Rutkowski, Leszek and Tadeusiewicz, Ryszard and Zadeh, Lotfi and Zurada, Jacek}, + title = {Robust MCD-Based Backpropagation Learning Algorithm +Artificial Intelligence and Soft Computing – ICAISC 2008}, + series = {Lecture Notes in Computer Science}, + publisher = {Springer Berlin / Heidelberg}, + volume = {5097}, + pages = {154-163}, + year = {2008} +} + + author = {Rusiecki, Andrzej and Sandoval, Francisco and Prieto, Alberto and Cabestany, Joan and Graña, Manuel}, + title = {Robust LTS Backpropagation Learning Algorithm +Computational and Ambient Intelligence}, + series = {Lecture Notes in Computer Science}, + publisher = {Springer Berlin / Heidelberg}, + volume = {4507}, + pages = {102-109}, + year = {2007} +} + + author = {Ryckaert, J.-P.}, + title = {Special geometrical constraints in the molecular dynamics of chain molecules}, + journal = {Mol. Phys.}, + volume = {55}, + number = {3}, + pages = {549-556}, + keywords = {constrained dynamics; holonomic constraints}, + year = {1985} +} + + author = {Ryckaert, J.P. and Ciccotti, G. and Berendsen, H.J.C.}, + title = {Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes}, + journal = {J. Comput. Phys.}, + volume = {23}, + pages = {327-341}, + keywords = {MD; Shake algorithm; holonomic constraints; Verlet algorithm}, + year = {1977} +} + + author = {Ryckaert, J.-P. and Bellemans, A.}, + title = {Molecular dynamics of liquid alkanes}, + journal = {Discuss. Faraday Soc.}, + volume = {66}, + pages = {95}, + year = {1978} +} + +@book{Saaty1980_book, + author = {Saaty, T.L.}, + title = {The Analytic Hierarchy Process}, + publisher = {McGraw-Hill}, + address = { New York}, + year = {1980} +} + +@article{Saekeang1979, + author = {Saekeang, C. and Chu, P.L.}, + title = {Nondestructive determination of refractive index profile of an optical fiber: backward light scattering method}, + journal = {Applied Optics}, + volume = {18}, + pages = {1110-1116}, + year = {1979} +} + + author = {Sahinidis, N. V. and Tawarmalani, M.}, + title = {Applications of global optimization to process and molecular design}, + journal = {Computers and Chemical Engineering}, + volume = {24}, + number = {9-10}, + pages = {2157-2169}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Sahinidis NV Univ Illinois, Dept Chem Engn 600 S Mathews Ave Urbana, IL 61801 USA Univ Illinois, Dept Chem Engn Urbana, IL 61801 USA Univ Illinois, Dept Mech and Ind Engn Urbana, IL 61801 USA 0010 Comput. Chem. Eng}, + abstract = {The purpose of this paper is to review some recent results that demonstrate the importance of identifying global optima of MINLP formulations. We present two global optimization 'success stories' based on the application of global optimization techniques to two design problems. The first application deals with the design of just-in-time flowshops. On a collection of nine problem instances with only four degrees of freedom, global optimization provides solutions that average 17% cost savings compared to designs identified earlier in the literature using local search techniques. The second application deals with design at the molecular level and involves a considerably larger design space for identifying a replacement of Freon. The problem is difficult and has been approached by numerous research groups in the past. Global optimization identifies many novel molecular structures. (C) 2000 Elsevier Science Ltd. All rights reserved. [References: 37] 37}, + keywords = {Global optimization. Branch and bound. Range contraction. Finiteness. +Convex enclosers. +Property prediction uncertainty. Polymer design. Solvents. +Chemical Engineering in Current Contents(R)/Engineering, Computing and +Technology. +2000 week 44 +Reprint available from: Sahinidis NV. Univ Illinois, Dept Chem Engn, 600 +S Mathews Ave, Urbana, IL 61801, USA.}, + year = {2000} +} + +@article{Salibian2008, + author = {Salibian-Barrera, M. and Willems, G. and Zamar, R.}, + title = {The Fast-t Estimator for Regression}, + journal = {Journal of Computational and Graphical Statistics}, + volume = {17}, + number = {3}, + pages = {659-682}, + abstract = {Yohai and Zamar's t-estimators of regression have excellent statistical properties but are nevertheless rarely used in practice because of a lack of available software and the general impression that t-estimators are difficult to approximate. We will show, however, that the computational difficulties of approximating t-estimators are similar in nature to those of the more popular S-estimators. The main goal of this article is to compare an approximating algorithm for t-estimators based on random resampling with some alternative heuristic search algorithms. We show that the former is not only simpler, but that when enhanced by local improvement steps it generally outperforms the consider edheuristic search algorithms, even when the seheuristic algorithms also incorporate local improvement steps. Additionally, we show that the random resampling algorithm for approximating t-estimators has favorable statistical properties compared to the analogous and widely used algorithms for S- and least trimmed squares estimators.}, + year = {2008} +} + +@article{Salibian2006, + author = {Salibian-Barrera, M. and Yohai, V.J.}, + title = {A fast algorithm for S-regression estimates}, + journal = {Journal of Computational and Graphical Statistics}, + volume = {15}, + pages = {414-427}, + year = {2006} +} + +@article{Yohai2008_AS, + author = {Salibian-Barrera, M. and Yohai, V.J.}, + title = {High breakdown point robust regression with censored data}, + journal = {Annals of Statistics}, + volume = {36}, + pages = {118-146}, + year = {2008} +} + +@inproceedings{Saminger2004_IPMU, + author = {Saminger, S.}, + title = {Aggregation of bi-capacities}, + booktitle = {10th Int. Conf. on Information Processing and Management of Uncertainty }, + address = {Perugia, Italy}, + pages = {335--342}, + year = {2004} +} + +@article{Saminger2003_Kyb, + author = {Saminger, S. and Mesiar, R.}, + title = {A general approach to decomposable bi-capacities}, + journal = {Kybernetika}, + volume = {39}, + pages = {631-642}, + year = {2003} +} + +@article{Saminger2007_TFS, + author = {Saminger-Platz, S. and Mesiar, R. and Dubois, D.}, + title = {Aggregation Operators and Commuting}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {15 }, + pages = {1032-1045}, + year = {2007} +} + +@article{Santo2008_IEEE, + author = {Santo, B. and Adee, A. }, + title = {Multicore Made Simple}, + journal = {IEEE Spectrum }, + volume = {46}, + pages = {32-36}, + year = {2008} +} + +@article{Sapidis1988_CAGD, + author = {Sapidis, N. S. and Kaklis, P. D.}, + title = {An algorithm for constructing convexity and monotonicity preserving splines in tension }, + journal = {Comp. Aided Geom. Des.}, + volume = {5}, + pages = {127-137}, + year = {1988} +} + +@article{Sap, + author = {Sapidis, N.S. and Kaklis, P.D.}, + title = {An algorithm for constructing convexity and monotonicity preserving splines in tension}, + journal = {Comp.Aided Geom. Design}, + volume = {5}, + pages = {127-137}, + year = {1988} +} + +@article{SapKak1988, + author = {Sapidis, N. S. and Kaklis, P. D.}, + title = {An algorithm for constructing convexity and monotonicity-preserving splines in tension}, + journal = {Computer Aided Geometric Design}, + volume = {5}, + pages = {127-137}, + keywords = {Exponential spline in tension +convexity-admissible data sets +convexity- (monotonicity-) preserving interpolants}, + year = {1988} +} + +@article{SapKakLouk1988, + author = {Sapidis, N. S. and Kaklis, P. D. and Loukakis, T. A.}, + title = {A method for computing the tension parameters in convexity-preserving spline-in-tension interpolation}, + journal = {Numer. Math.}, + volume = {54}, + pages = {179-192}, + year = {1988} +} + +@inproceedings{Satish2009, + author = {Satish, N. and Harris, M. and Garland, M.}, + title = {Designing Efficient Sorting Algorithms for Manycore GPUs}, + booktitle = {IEEE International Parallel and Distributed Processing Symposium}, + address = {Rome}, + pages = {DOI: 10.1109/IPDPS.2009.5161005 }, + year = {2009} +} + +@incollection{Sauer1994, + author = {Sauer, T.}, + title = {Time series prediction by using delay coordinate embedding}, + booktitle = {Time Series Prediciton}, + editor = {Weigend, A.S. and Gershenfeld, N.A.}, + publisher = {Addison-Wesley}, + address = {Reading, MA}, + pages = {175-193}, + year = {1994} +} + +@inproceedings{Saukas_conf, + author = {Saukas, E.L. and Song, S.W.}, + title = {Efficient selection algorithms on distributed memory computers}, + booktitle = {ACM/IEEE Conference on Supercomputing }, + address = {San Jose, CA}, + publisher = {IEEE}, + pages = {1-26}, + year = {1998} +} + + author = {Saupe, D. and Hamzaoui, R. and Hartenstein, H.}, + title = {Fractal image compression: an introductory overview}, + booktitle = {Fractal Models for Image Synthesis, Encoding, and Analysis, SIGGRAPH '96 +Course Notes XX}, + editor = {Saupe, D. and Hart, J.}, + address = {New Orleans}, + year = {1996} +} + + author = {Schaefer, Marvin}, + title = {A mathematical theory of global program optimization}, + publisher = {Prentice-Hall}, + address = {Englewood Cliffs, N.J.,}, + note = {72013785 +Prentice-Hall series in automatic computation. +Bibliography: p. 190-194.}, + keywords = {Compiling (Electronic computers) +Mathematical optimization.}, + year = {1973} +} + +@incollection{Scheraga1992_rev, + author = {Scheraga, H.A.}, + title = {Predicting three-dimensional structure of oligopeptides}, + booktitle = {Reviews in Computational Chemistry}, + editor = {Lipkowitz, K.B. and Boyd, D.B.}, + publisher = {VCH Publishers}, + address = {New York}, + volume = {3}, + pages = {73-142}, + note = {ISBN 3-527-27845-1}, + keywords = {standard review +computational chemistry +geometry optimization +molecular mechanics (MM) +molecular structure +molecular modelling +amino acid +protein +peptide}, + year = {1992} +} + + author = {Scheraga, H. A.}, + title = {The Multiple Minima Problem in Protein Folding}, + journal = {Polish Journal of Chemistry}, + volume = {68}, + number = {5}, + pages = {889-891}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Scheraga HA CORNELL UNIV BAKER LAB CHEM ITHACA, NY 14853 USA 0003}, + abstract = {In order to calculate the most stable conformation of a polypeptide or protein, it is necessary to generate the chain in an arbitrary conformation, calculate its energy, and minimize the energy. These procedures present no insurmountable problems. However, the minimization algorithm leads only to the nearest local minimum. Since the multi-dimensional energy surface contains many minima (the multiple-minima problem), it is necessary to surmount this difficulty in order to be able to compute a protein structure. Several procedures have been developed to solve this problem, and some of these are summarized here. [References: 40] 40}, + keywords = {Peptides. Peptide conformation computing. +Diffusion equation method. Monte-carlo method. Statistical-mechanical +procedure. Coiled-coil conformation. Interchain interactions. Native +conformation. Pattern-recognition. Collagen models. Relaxing +dimensionality. Global optimization. +Chemistry. +Reprint available from: Scheraga HA. CORNELL UNIV, BAKER LAB CHEM, +ITHACA, NY 14853, USA.}, + year = {1994} +} + +@misc{ECEPPAK, + author = {Scheraga, H.A. and Ripoll, D.R. and Liwo, A. and Czaplewski, C.}, + title = {ECEPPAK (ECEPP Package for Conformational Analysis of Polypeptides) and ANALYZE Programs}, + publisher = {Cornell University}, + abstract = {The ECEPPAK program for the conformational search of polypeptides is based on the ECEPP/3 force field. The functions of the program include energy calculation and minimization and global conformational search using the Electrostatically Driven Monte Carlo (EDMC) method. The search can be constrained using experimental information e.g., the distance constraints from NMR measurements. The program has been extensively parallelized, which allows the user to carry out the conformational search even of comparatively large +polypeptides in real time. The companion program, ANALYZE, allows the user to classify the conformations by means of cluster analysis and fit the statistical weights of the conformations to best fit the experimental observables.}, + keywords = {empirical conformational energy program for peptides and proteins (ECEPP) +electrostatically driven Monte Carlo (EDMC) method +ECEPP/3 force field +geometry optimization +molecular mechanics (MM) +molecular modelling +molecular structure}, + +} + +@book{Schittkowski2003_book, + author = {Schittkowski, K.}, + title = {Numerical Data Fitting in Dynamical Systems : a Practical Introduction with Applications and Software }, + publisher = {Kluwer Academic Publishers}, + address = {Dordrecht ; Boston}, + year = {2003 } +} + + author = {Schleyer, P.v.R.}, + title = {Encyclopedia of Computational Chemistry}, + publisher = {John Wiley and Sons}, + abstract = {In its short (30 year) history, computational chemistry has become one of the mainstays of modern industrial and academic chemistry. Computer methods are used to solve chemical problems that would be intractable or even impossible via experimental methods. Today, computer chemistry is acknowledged to be a major subdivision of chemistry, e.g. in drug design, molecular models can be simulated to predict which are the active compounds and how they will "fit" the receptors in the brain in order to make them effective. The Encyclopedia of Computational Chemistry (ECC) has been conceived to provide an appropriate, comprehensive reference work to describe the many aspects of this young discipline. Designed to fill the gap between one-volume textbooks and multi-volume series published over many years, this will be the most modern, complete and authoritative reference work on the subject. The rapid emergence of computational chemistry as a new discipline with applications throughout chemistry means that the Encyclopedia will fill an important role in providing information for teachers and students as well as for active researchers.}, + keywords = {computational chemistry +quantum chemistry +molecular modelling}, + year = {1998} +} + + author = {Schlick, T.}, + title = {Optimization methods in computational chemistry}, + booktitle = {Reviews in Computational Chemistry}, + editor = {Lipkowitz, K.B. and Boyd, D.B.}, + publisher = {VCH Publishers}, + address = {New York}, + volume = {3}, + pages = {1-71}, + note = {ISBN 3-527-27845-1}, + keywords = {standard review +computational chemistry +geometry optimization +molecular mechanics (MM) +molecular structure +molecular modelling}, + year = {1992} +} + + author = {Schlick, T.}, + title = {Molecular Modeling and Simulation: An Interdisciplinary Guide}, + publisher = {Springer}, + address = {New York}, + year = {2002} +} + +@article{Schmeidler-86, + author = {Schmeidler, D.}, + title = {Integral representation without additivity}, + journal = {Proc. of the Amer. Math. Soc.}, + volume = {97}, + pages = {255-261}, + year = {1986} +} + + author = {Schoen, F.}, + title = {Global Optimization in Action - Continuous and Lipschitz Optimization - Algorithms, Implementations and Applications - Pinter,Jd}, + journal = {Journal of the Operational Research Society}, + volume = {48}, + number = {4}, + pages = {449-450}, + note = {Current Contents/Engineering, Technology and Applied Sciences Current Contents/Social and Behavioral Sciences +Reprint available from: Schoen F UNIV FLORENCE FLORENCE ITALY}, + keywords = {Engineering management/general. Management.}, + year = {1997} +} + +@article{Schoenberg1964, + author = {Schoenberg, I. J.}, + title = {Spline Functions and the Problem of Graduation}, + journal = {Proceedings of the National Academy of Sciences of the United States of America}, + volume = {52}, + number = {4}, + pages = {947-950}, + year = {1964} +} + + author = {Schulte, C.M.}, + title = {Genetic algorithms for prototype-based clustering}, + booktitle = {EUFIT'94}, + address = {Aachen, Germany}, + pages = {913-921}, + year = {1994} +} + +@book{Schumaker1981_book, + author = {Schumaker, L.L.}, + title = {Spline functions: Basic theory}, + publisher = {Wiley}, + address = {New York}, + year = {1981} +} + +@article{Schumaker1983, + author = {Schumaker, L.L.}, + title = {On Shape Preserving Quadratic Spline Interpolation}, + journal = {SIAM Journal on Numerical Analysis}, + volume = {20}, + pages = {854-864}, + abstract = {In this paper we discuss the design of algorithms for interpolating discrete data using C1-quadratic splines in such a way that the monotonicity and/or convexity of the data is preserved. The analysis culminates in an interactive algorithm which takes full advantage of the flexibility which quadratic splines permit.}, + year = {1983} +} + + author = {Schweiger, C. A. and Floudas, C. A.}, + title = {Optimization framework for the synthesis of chemical reactor networks}, + journal = {Industrial and Engineering Chemistry Research}, + volume = {38}, + number = {3}, + pages = {744-766}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Floudas CA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA 0019 Ind. Eng. Chem. Res}, + abstract = {The reactor network synthesis problem involves determining the type, size, and interconnections of the reactor units, optimal concentration and temperature profiles, and the heat load requirements of the process. A general framework is presented for the synthesis of optimal chemical reactor networks via an optimization approach. The possible design alternatives are represented via a process superstructure which includes continuous stirred-tank reactors and cross-flow reactors along with mixers and splitters that connect the units. The superstructure is mathematically modeled using differential and algebraic constraints, and the resulting problem is formulated as an optimal control problem. The solution methodology for addressing the optimal control formulation involves the application of a control parametrization approach where the selected control variables are discretized in terms of time-invariant parameters. The dynamic system is decoupled from the optimization and solved as a function of the time-invariant parameters. The algorithmic framework is implemented in the optimization package MINOPT, which is used as a tool for solving the reactor network synthesis problem. The proposed approach is applicable to general problem formulations, and its utility is illustrated through the application to numerous examples including both constant and variable density problems, isothermal and nonisothermal operation, and complex reaction mechanisms with the kinetic and thermodynamic data provided by Chemkin. [References: 50] 50}, + keywords = {Attainable region. Path constraints. Systems. Strategies. Operation. +Design. +Chemical Engineering in Current Contents(R)/Engineering, Computing and +Technology. +1999 week 13 +Reprint available from: Floudas CA. Princeton Univ, Dept Chem Engn, +Princeton, NJ 08544, USA, .}, + year = {1999} +} + +@article{Sch, + author = {Schweikert, D.G.}, + title = {An interpolation curve using a spline in tension}, + journal = {J. Math. Phys. }, + volume = {45}, + pages = {312-317}, + year = {1966} +} + +@article{Schweikert1966, + author = {Schweikert, D.G.}, + title = {An interpolation curve using a spline in tension}, + journal = {J. Math. Phys.}, + volume = {45}, + pages = {312-317}, + year = {1966} +} + +@article{Schweizer1961_debrecen, + author = {Schweizer, B. and Sklar, A.}, + title = {Associative functions and statistical triangle inequalities}, + journal = {Publ. Math. Debrecen}, + volume = {8}, + pages = {169-186}, + year = {1961} +} + +@book{Schweizer1983_book, + author = {Schweizer, B. and Sklar, A.}, + title = {Probabilistic metric spaces}, + publisher = {North-Holland}, + address = {New York}, + year = {1983} +} + +@article{Schyns2010_CSDA, + author = {Schyns, M. and Haesbroeck, G. and Critchley, F.}, + title = {RelaxMCD: Smooth optimisation for the Minimum Covariance Determinant estimator}, + journal = {Comput. Stat. Data Anal.}, + volume = {54}, + number = {4}, + pages = {843-857}, + note = {1698643}, + year = {2010} +} + +@book{Scott1992_book, + author = {Scott, D.W.}, + title = {Multivariate Density Estimation}, + publisher = {John Wiley & Sons}, + address = {New York}, + year = {1992} +} + +@article{Scott1998_FSS, + author = {Scott, M.J. and Antonsson, E.K.}, + title = {Aggregation functions for engineering design trade-offs}, + journal = {Fuzzy Sets and Systems}, + volume = {99 }, + pages = {253-264}, + year = {1998} +} + +@book{Sedgewick, + author = {Sedgewick, R.}, + title = {Algorithms}, + publisher = {Addison-Wesley}, + address = {Reading, MA}, + edition = {2nd}, + year = {1988} +} + + author = {Sedgwick, K. J. and Pfeffer, F. M. and Lim, K.F.}, + title = {Indole-based frameworks for the recognition of anions}, + booktitle = {22nd Royal Australian Chemical Institute Organic Conference and the 6th RACI Conference on Physical Chemistry}, + address = {Adelaide, South Australia}, + abstract = {The design and synthesis of molecules and supramolecules that can bind, identify and signal the presence of anions is of current interest in organic, analytical and environmental chemistry. We have previously designed and synthesized a new family of [3]polynorbornane frameworks exhibiting conformationally preorganized (cleft-like) aromatic thiourea receptors for anion recognition. These show excellent affinity for the biologically relevant dihydrogen phosphate (H2PO4-) and dihydrogen pyrophosphate (H2P2O72-) anions. Hydrogen bonding between the anion and the receptor results in changes in the 1H-NMR spectrum of the receptor and thus the extent of interaction between the two species can be monitored. This paper describes the design and synthesis of a new family of receptors, using indole, amide and thiourea moieties, linked by bridges of different lengths. Whilst examples exist where the pyrrole N-H is used for anion recogition, these are the first examples of synthetic molecules designed to employ the indole N-H for anion recognition. }, + keywords = {Royal Australian Chemical Institute (RACI) +geometry optimization +molecular modelling +molecular structure}, + year = {2007} +} + + author = {Selim, S. Z. and Al-Sultan, K.S.}, + title = {A simulated annealing algorithm for the clustering problem}, + journal = {Pattern Recognition}, + volume = {24}, + pages = {1003-1008}, + year = {1991} +} + +@book{Sen1982, + author = {Sen, A.}, + title = {Choice, Welfare and Measurement}, + publisher = {Harward University Press}, + address = {Cambridge, Massachusetts}, + year = {1982} +} + +@incollection{Sergeyev2003_inbook, + author = {Sergeyev, Y. D.}, + title = {Finding the minimal root of an equation: applications and algorithms based on Lipschitz condition}, + booktitle = {Global Optimization - Selected Case Studies}, + editor = {Pintér, J.}, + publisher = {Kluwer Academic Publishers}, + pages = {in press}, + year = {2003} +} + +@article{Sethi1981, + author = {Sethi, I.K.}, + title = {A Fast Algorithm for Recognizing Nearest Neighbors,}, + journal = {IEEE Trans. Syst. Man, and Cyber.}, + volume = {11}, + pages = { 245-249}, + year = {1981} +} + + author = {Sexton, R. and Dorsey, R. and Johnson, J.}, + title = {Toward global optimization of neural networks: A comparison of the genetic algorithm and backpropagation}, + journal = {Decision Support Systems}, + volume = {22}, + number = {2}, + pages = {171-185}, + year = {1998} +} + + author = {Sexton, R. and Dorsey, R. and Johnson, J.}, + title = {Optimization of neural networks: A comparative analysis of the genetic algorithm and simulated annealing}, + journal = {European Journal of Operational Research}, + volume = {114}, + number = {3}, + pages = {589-601}, + year = {1999} +} + + author = {Sexton, Randall S. and Dorsey, Robert E. and Johnson, John D.}, + title = {Beyond Backpropagation: Using Simulated Annealing for Training Neural Networks}, + journal = {Journal of End User Computing}, + volume = {11}, + number = {3}, + pages = {3}, + note = {Text available}, + keywords = {Algorithm +Technology overview}, + year = {1999} +} + +@book{Shafer-76, + author = {Shafer, G. }, + title = {A Mathematical Theory of Evidence}, + publisher = {Princeton University press}, + address = {Princeton}, + year = {1976} +} + +@book{knnbook2006, + author = {Shakhnarovich, G. and Darrell, T. and Indyk, P.}, + title = {Nearest-neighbor methods in learning and vision : theory and practice }, + publisher = {MIT Press}, + address = {Cambridge, MA}, + year = {2006} +} + + author = {Sham, S. and Calzolai, L. and Wang, P.L. and Bren, K. and Haarklau, H. and Brereton, P.S. and Adams, M.W.W. and La Mar, G.N.}, + title = {A solution NMR molecular model for the aspartate-ligated, cubane cluster containing ferredoxin from the hyperthermophilic archeaon Pyrococcus furiosus}, + journal = {Biochemistry}, + volume = {41}, + number = {41}, + pages = {12498-12508}, + abstract = {A solution molecular model for the conformationally dynamically heterogeneous Pyrococcus furiosus ferredoxin with an intact disulfide bond has been constructed on the basis of reported H-1 NMR spectral parameters using distance geometry and simulated annealing protocols. Conventional long-mixing time NOESY and H-bonding constraints have been augmented by previously reported short-mixing time NOESY, steady-state NOE, and cluster paramagnetism-induced relaxation. The family of 15 structures with inconsequential violations exhibited low rms deviations for backbone atoms for the overwhelming majority of the residues, including the cluster ligating loop with the unprecedented ligated Asp14. Larger rms deviations were observed across the disulfide bond, but closer inspection revealed that the 15 structures can be factored into 10 substructures exhibiting an "S" or right-handed disulfide orientation and 5 exhibiting an "R" or left-handed disulfide orientation. The remainder of the structure is indistinguishable for the two disulfide orientations but confirms stabilizing extensions of secondary structural elements in the lengthening of the long helix and both the lengthening and incorporation of a third strand into the beta-sheet involving the termini, with these extensions interacting strongly in a modular fashion through the rings of Tyr46 and Trp2. These extensions of stabilizing interactions in Pyrococcus furiosus Fd, however, lead to strong destabilization of the disulfide bond and destabilization of the highly conserved first and last beta-turns in the sequence. It is concluded that the structural alternations in Pyrococcus Fd relative to other hyperthermostable Fds are not to increase thermostability but to place "stress" on the disulfide bond and render it more reducible. The possible physiological implications of this unique reducible disulfide bond are discussed.}, + keywords = {iron-sulfur proteins +archaeon thermococcus-litoralis +4 redox states +secondary structure +4-iron ferredoxin +crystal-structure +Thermotoga-maritima +nuclear magnetic resonance (NMR) +H-1-nmr spectroscopy +Desulfovibrio-gigas +electron transfer +nuclear Overhauser effect (NOE) +NOESY spectra}, + year = {2002} +} + + author = {Shang, Y. and Wah, B.W.}, + title = {Global Optimization for Neural Network Training}, + journal = {IEEE Computer}, + volume = {29}, + pages = {45-54}, + year = {1996} +} + +@article{Shepetukha2001_MCM, + author = {Shepetukha, Y. and Olson, D.L.}, + title = {Comparative Analysis of Multiattribute Techniques Based on Cardinal and Ordinal Inputs}, + journal = {Mathematical and Computer Modelling}, + volume = {34}, + pages = {229-241}, + year = {2001} +} + + author = {Shi, Q. Z. and Hagiwara, I. and Takashima, F.}, + title = {Global optimization method to locate multiple local optima with response surface approximation methodology}, + journal = {JSME International Journal Series A-Solid Mechanics and Material Engineering}, + volume = {44}, + number = {1}, + pages = {175-184}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Shi QZ Tokyo Inst Technol, Fac Engn, Meguro Ku 2-12-1 Ookayama Tokyo 1528552 Japan Tokyo Inst Technol, Fac Engn, Meguro Ku Tokyo 1528552 Japan Tokyo Inst Technol, Grad Sch, Meguro Ku Tokyo 1528552 Japan 0024 JSME Int. J. Ser. A-Solid Mech. Mat. Eng}, + abstract = {A considerable number of functional evaluations may be required in the process of optimization. Although approximation models constructed by response surface methodology can significantly reduce functional evaluations, the design accuracy may be strongly dependent on the type of activation functions and designs used. In this paper, we propose techniques to search the design space containing the global optimal design using designs by conditioned random seeds, and techniques for determining more accurate approximations by employing a sequential approach called the most probable optimal design (MPOD) method. The MPOD method is a response surface methodology based on the holographic neural network, which uses the exponential function as an activation function. In the MPOD method, extrapolation is employed to make the technique available for general application in structural optimization. The formula to estimate the necessary functional evaluations under certain conditions is expressed. Application examples show that the MPOD method is an effective methodology, which is expected to determine the optimal design with multiple local optima. [References: 16] 16}, + keywords = {Nonlinear problem. Neural network. Finite-element method. Numerical +analysis. Buckling. Optimal design. Response surface methodology. +Extrapolation technique. Global optimal design. +Mechanical Engineering in Current Contents(R)/Engineering, Computing and +Technology. +2001 week 15}, + year = {2001} +} + + author = {Shimojima, K. and Fukuda, T. and Arai, F.}, + title = {Self-tuning fuzzy inference based on spline function}, + booktitle = {3rd Int. Conference on Fuzzy Systems}, + publisher = {IEEE}, + volume = {1}, + pages = {690-695}, + year = {1994} +} + + author = {Shiyou, Yang and Guangzheng, Ni and Yan, Li and Baoxia, Tian and Ronglin, Li}, + title = {An universal tabu search algorithm for global optimization of multimodal functions with continuous variables in electromagnetics}, + journal = {IEEE Transactions on Magnetics}, + volume = {34}, + number = {5}, + pages = {p2901(4)}, + abstract = {An universal tabu search algorithm for the optimization of functions with continuous variables is presented based on the tabu method so far used. Essentially, the improvements include the transition criterion for different states, the determination of the step vector, the cancellation of tabu list, the stop criteria, and the restart from the optimum etc.. The numerical performances of the present algorithm are investigated using a benchmark problem and the geometry optimization of the multisection arc pole shoe in large salient pole synchronous generators. +Index terms - Inverse problem, Global optimization, Stochastic algorithm, SA algorithm, Tabu search technique.}, + keywords = {Algorithms Usage +Synchronous electric motors Research +Electric generators Research +Electromagnetism Research +Magneto-electric machines Research}, + year = {1998} +} + + author = {Shor}, + +} + +@article{Shubert1972_SIAM, + author = {Shubert, B.}, + title = {A sequential method seeking the global maximum of a function}, + journal = {SIAM J. Numer. Anal.}, + volume = {9}, + pages = {379-388}, + year = {1972} +} + + author = {Shukla, K. K. and Raghunath}, + title = {An efficient global algorithm for supervised training of neural networks}, + journal = {Computers and Electrical Engineering}, + volume = {25}, + number = {3}, + pages = {195(2)}, + abstract = {Training an artificial neural network involves the use of an efficient learning algorithm to program the weights and thresholds to implement the desired input - output mapping. In this paper we present a new optimization strategy based on the method of covering a feasible set that efficiently locates the global solution on the multimodal performance surface of a neural network. Performance bounds of the new algorithm are presented. Simulation results on Rumelhart's logic function test suite demonstrate the superiority of our algorithm to the backpropagation method and its faster modifications viz. Quickprop algorithm. +Keywords: Neural networks; Backpropagation; Adaptive search; Covering; Global optimization; Steepest descent; Learning algorithm}, + keywords = {Algorithms Usage +Neural networks Research}, + year = {1999} +} + + author = {Shyi-Ming, Chen and Li-Wei, Lee}, + title = {Fuzzy Multiple Criteria Hierarchical Group Decision-Making Based on Interval Type-2 Fuzzy Sets}, + journal = {Systems, Man and Cybernetics, Part A: Systems and Humans, IEEE Transactions on}, + volume = {40}, + number = {5}, + pages = {1120-1128}, + keywords = {arithmetic +computational complexity +decision support systems +fuzzy set theory +Mendel method +Wu method +arithmetic operations +fuzzy multiple criteria hierarchical group decision-making +fuzzy preference relations +interval type-2 fuzzy sets +time complexity}, + +} + +@phdthesis{Shyu1984_thesis, + author = {Shyu, Y.-H. }, + title = { Absolute continuity in the $\tau$-operations}, + university = {Illinois Institute of Technology}, + type = {PhD}, + year = {1984} +} + +@article{Sibson1980_proc, + author = {Sibson, R.}, + title = {A vector identity for the Dirichlet tesselation.}, + journal = {Mathematical Proceedings of the Cambridge Philosophical Society}, + volume = {87}, + pages = {151-155}, + year = {1980} +} + +@incollection{Sibson1981_inbook, + author = {Sibson, R.}, + title = {A brief description of natural neighbor interpolation}, + booktitle = {Interpreting Multivariate Data}, + editor = {Barnett, V.}, + publisher = {John Wiley}, + address = {Chichester}, + pages = {21-36}, + year = {1981} +} + +@article{Sicilia2003_kyb, + author = {Sicilia, M.A. and Garcia Barriocanal, E. and Calvo, T.}, + title = {An inquiry-based method for Choquet integral-based aggregation of interface usability parameters}, + journal = {Kybernetica}, + volume = {39}, + pages = {601-614}, + year = {2003} +} + +@book{Sikorski2001_book, + author = {Sikorski, K.}, + title = {Optimal Solution of Nonlinear Equations}, + publisher = {Oxford University Press}, + address = {Oxford}, + year = {2001} +} + +@article{Silvert1979_IEEE, + author = {Silvert, W.}, + title = {Symmetric summation: A class of operations on fuzzy sets}, + journal = {IEEE Transactions on Systems, Man and Cybernetics}, + volume = {9}, + pages = {659--667}, + year = {1979} +} + +@article{Sintorn2008_JPDC, + author = {Sintorn, E. and Assarson, U.}, + title = {Fast Parallel GPU-Sorting Using a Hybrid Algorithm}, + journal = {J. of Parallel and Distributed Computing}, + volume = {68}, + pages = {1381-1388}, + year = {2008} +} + +@article{Sio1997_NPLet, + author = {Sio, K.C. and Lee, C.K.}, + title = {Estimation of the Lipschitz Norm with Neural Networks}, + journal = {Neural Processing Letters}, + volume = {6}, + pages = {99-108}, + year = {1997} +} + + author = {Sippl, M.J. and Némethy, G. and Scheraga, H.A.}, + title = {Intermolecular potentials from crystal data. 6. Determination of empirical potentials for O-H…O=C hydrogen bonds from packing configurations}, + journal = {Journal of Physical Chemistry}, + volume = {88}, + number = {25}, + pages = {6231-6233}, + keywords = {empirical conformational energy program for peptides and proteins (ECEPP) +ECEPP/2 force field +geometry optimization +molecular mechanics (MM) +molecular modelling +molecular structure}, + year = {1984} +} + +@article{Sklar1959, + author = {Sklar, A.}, + title = {Fonctions de repartition a n dimensions et leurs marges}, + journal = {Publ. Inst. Statist. Univ. Paris}, + volume = {8}, + pages = {229-231}, + year = {1959} +} + + author = {Smith-Brown, M.J. and Kominos, D and Levy, R.M.}, + title = {Global folding of proteins using a limited number of distance constraints}, + journal = {Protein Eng.}, + volume = {6}, + pages = {605-614}, + year = {1993} +} + +@article{Smolyak1963, + author = {Smolyak, S.A.}, + title = {Quadrature and interpolation formulas for tensor products of certain classes of functions}, + journal = {Math. USSR Doklady}, + volume = {4}, + pages = {240-243}, + year = {1963} +} + +@article{Sobol1977, + author = {Sobol, I.}, + title = {The production of points uniformly distributed in a multidimensional cube}, + journal = {USSR Computational Mathematics and Mathematical Physics}, + volume = {16 }, + pages = {236-242}, + year = {1977} +} + +@article{Dombi1986_EJOR, + author = {Solymosi, T. and Dombi, J.}, + title = {A method for determining the weights of criteria: the centralized weights}, + journal = {Europ. J. Oper. Res.}, + volume = {26}, + pages = {35-41}, + year = {1986} +} + +@incollection{Dombi1992_inbook, + author = {Solymosi, T. and Dombi, J.}, + title = {Fitting functions to data with error bounds: Fuzzy regression with {ERRGO}}, + booktitle = { Fuzzy Regression Analysis}, + editor = {Kacprzyk, J. and M., Fedrizzi}, + publisher = {Omnitech Press}, + address = {Warsaw }, + pages = {101-115}, + year = {1992} +} + +@article{Spath1969, + author = {Sp\"ath, H.}, + title = {Exponential spline interpolation}, + journal = {Computing}, + volume = {4}, + pages = {225-233}, + keywords = {Computer Science}, + year = {1969} +} + + author = {Stander, B.T. and Hart, J.C.}, + title = {A Lipschitz method for accelerated volume rendering}, + booktitle = {1994 Symposium of volume visualization}, + address = {New York}, + publisher = {IEEE}, + pages = {107-114}, + year = {1995} +} + + author = {Stephens, C. P. and Baritompa, W.}, + title = {Global optimization requires global information}, + journal = {Journal of Optimization Theory and Applications}, + volume = {96}, + number = {3}, + pages = {575-588}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Stephens CP UNIV CANTERBURY DEPT MATH and STAT CHRISTCHURCH 1 NEW ZEALAND}, + abstract = {There are many global optimization algorithms which do not use global information. We broaden previous results, showing limitations on such algorithms, even if allowed to run forever. We show that deterministic algorithms must sample a dense set to find the global optimum value and can never be guaranteed to converge only to global optimizers. Further, analogous results show that introducing a stochastic element does not overcome these limitations. An example is simulated annealing in practice. Our results show that there are functions for which the probability of success is arbitrarily small. [References: 20]}, + keywords = {Global optimization. Convergence. Stochastic algorithms. Deterministic +algorithms. +Algorithm. Maximum. +Engineering mathematics.}, + year = {1998} +} + +@article{Stromberg2000_JASA, + author = {Stromberg, A.J. and Hossjer, O. and Hawkins, D. M.}, + title = {The Least Trimmed Differences Regression Estimator and Alternatives}, + journal = {J. Amer. Statist. Assoc}, + volume = {95}, + pages = {853-864}, + year = {2000} +} + +@article{Stromberg1992, + author = {Stromberg, A. J. and Ruppert, D.}, + title = {Breakdown in Nonlinear Regression}, + journal = {J. of the American Statistical Association}, + volume = {87}, + number = {420}, + pages = {991-997}, + note = {ArticleType: research-article / Full publication date: Dec., 1992 / Copyright © 1992 American Statistical Association}, + abstract = {The breakdown point is considered an important measure of the robustness of a linear regression estimator. This article addresses the concept of breakdown in nonlinear regression. Because it is not invariant to nonlinear reparameterization, the usual definition of the breakdown point in linear regression is inadequate for nonlinear regression. The original definition of breakdown due to Hampel is more suitable for nonlinear problems but may indicate breakdown when the fitted values change very little. We introduce breakdown functions, which measure breakdown of the fitted values. Using the breakdown functions, we introduce a new definition of the breakdown point. For the linear regression model, our definition of the breakdown point coincides with the usual definition for linear regression as well as with Hampel's definition. For most nonlinear regression functions, we show that the breakdown point of the least squares estimator is 1/n. We prove that for a large class of unbounded regression functions, the breakdown point of the least median of squares or the least trimmed sum of squares estimator is close to 1/2. For monotonic regression functions of the type g(α + β x), where g is bounded above and/or below, we establish upper and lower bounds for the breakdown points that depend on the data.}, + year = {1992} +} + +@book{Strongin2000_book, + author = {Strongin, R. G. and Sergeyev, Y. D.}, + title = {Global optimization with non-convex constraints: sequential and parallel algorithms}, + publisher = {Kluwer Academic}, + address = {Dordrecht; London}, + series = {Nonconvex optimization and its applications; v.45.}, + keywords = {Mathematical optimization. +Nonconvex programming.}, + year = {2000} +} + + author = {Stuart, S.J. and Berne, B.J.}, + title = {Surface curvature effects in the aqueous ionic solvation of the chloride ion}, + journal = {J. Phys. Chem.}, + volume = {103}, + pages = {10300-10307}, + year = {1999} +} + + author = {Stutz, C. and Runkler, T. A.}, + title = {Fuzzy c-Mixed Prototype Clustering}, + booktitle = {Fuzzy-Neuro-Systems'98}, + editor = {Brauer, W.}, + series = {Proceedinds in artificial intelligence}, + address = {Munchen}, + volume = {7}, + pages = {122-129}, + year = {1998} +} + + author = {Suarez, Alberto and Lutsko, James F.}, + title = {Globally Optimal Fuzzy Decision Trees for Classification and Regression}, + journal = {IEEE Transactions on Pattern Analysis and Machine Intelligence}, + volume = {21}, + number = {12}, + pages = {1297}, + abstract = {A fuzzy decision tree is constructed by allowing the possibility of partial membership of a point in the nodes that make up the tree structure. This extension of its expressive capabilities transforms the decision tree into a powerful functional approximant that incorporates features of connectionist methods, while remaining easily interpretable. Fuzzification is achieved by superimposing a fuzzy structure over the skeleton of a CART decision tree. A training rule for fuzzy trees, similar to backpropagation in neural networks, is designed. This rule corresponds to a global optimization algorithm that fixes the parameters of the fuzzy splits. The method developed for the automatic generation of fuzzy decision trees is applied to both classification and regression problems. In regression problems, it is seen that the continuity constraint imposed by the function representation of the fuzzy tree leads to substantial improvements in the quality of the regression and limits the tendency to overfitting. In classification, fuzzification provides a means of uncovering the structure of the probability distribution for the classification errors in attribute space. This allows the identification of regions for which the error rate of the tree is significantly lower than the average error rate, sometimes even below the Bayes misclassification rate. +Index Terms--Automatic learning, decision trees, fuzzy set theory, global optimization, backpropagation, nonparametric regression, classification.}, + keywords = {Fuzzy sets Analysis +Regression analysis Models +Algorithms Usage +United States}, + year = {1999} +} + +@phdthesis{Sugeno1974, + author = {Sugeno, M.}, + title = {Theory of Fuzzy Integrals and Applications}, + university = {Tokyo Inst. of Technology}, + type = {PhD}, + year = {1974} +} + +@article{Sukharev1976, + author = {Sukharev, A.G. }, + title = {Optimal search for the roots of a function satisfying a Lipschitz condition}, + journal = {U.S.S.R. Comput. Math. and Math. Phys.}, + volume = {16}, + pages = {17--26}, + year = {1976} +} + +@article{Sukharev1978, + author = {Sukharev, A.G.}, + title = {Optimal method of constructing best uniform approximaiton for functions of a certain class}, + journal = {U.S.S.R. Comput. Math. and Math. Phys.}, + volume = {18}, + number = {1}, + pages = {21-31}, + year = {1978} +} + +@article{Sukharev1986, + author = {Sukharev, A.G.}, + title = {On the existence of optimal affine methods for approximating linear functionals}, + journal = {J. Complexity}, + volume = {2}, + pages = {317-322}, + year = {1986} +} + +@book{Sukharev1992, + author = {Sukharev, A.G.}, + title = {Minimax Models in the Theory of Numerical Methods}, + publisher = {Kluwer Academic Publishers}, + address = {Dordrecht}, + volume = {21}, + series = {Theory and Decision Library Series B}, + year = {1992} +} + + author = {Sultan, S.M. and Almuaibed, A.M. and Townshend, A.}, + title = {Flow injection chemiluminescence determination of medazepam}, + journal = {Fresenius Journal of Analytical Chemistry}, + volume = {362}, + pages = {167-169}, + note = {Two line flow injection manifold, line one H2SO4, line two permanganate. 25mL injection loop into line one. +Poor detection limit (1.85 x 10-5M) could probably be enhanced with the use of a computer to collect data rather than a chart recorder, also a red sensitive PMT may achieve a better detection limit. In a similar vein to our own groups experiments, decreasing permanganate concentration resulted in increasing CL peak heights. H2SO4 concentration had no significant effect on CL peak heights. As expected flow rates had an effect. Calibration curve not shown. The proposed analysis procedure was not compared with another analytical procedure, therefore its applicability to real samples is unknown.}, + abstract = {A new flow injection chemiluminescence method for the assay of medazepam is explored. The method involves the use of permangante in sulfuric acid for the oxidation of medazepam with the emission of chemiluminescence detected by a photomultiplier tube. A simplex procedure was employed for optimising the conditions for high sensitivity detection, which were found to be 1.03x10-3 mol/L permanganate, 0.153 mol/L sulfuric acid and 3.43 mL/min flow rate. The linear calibration range was 3.7 x 10-5 to 1.7 x 10-3 mol/L. The detection limit (3s) and the sample throughput were 1.85 x 10-5 mol/L and 100 per hour, respectively. The relative standard deviation for 5 replicate determinations of 1.9 x 10-4 mol/L medazepam was 0.15%. Common excipients (starch, glucose, maltose, lactose) used in pharmaceutical preparations had no effect. [References: 20]}, + keywords = {Chemiluminescence/ FIA/ permanganate}, + year = {1998} +} + + author = {Susnow, R. and Nachbar, R.B. and Schutt, C. and Rabitz, H.}, + title = {Sensitivity of molecular structure to intramolecular potentials}, + journal = {J. Phys. Chem.}, + volume = {95}, + pages = {8585-8597}, + year = {1991} +} + +@article{Takagi1985, + author = {Takagi, T. and Sugeno, M.}, + title = {Fuzzy identification of systems and its application to modeling and control}, + journal = {IEEE Transactions on Systems, Man and Cybernetics}, + volume = {15}, + pages = {116-132}, + year = {1985} +} + + author = {Takaoka, T}, + title = {Theory of Trinomial Heaps}, + booktitle = {Computing and Combinatorics}, + editor = {Du, D.-Z. and Eades, P. and Estivill-Castro, V. and Lin, X. and Sharma, A.}, + address = {Sydney}, + publisher = {Springer}, + pages = {362-372}, + year = {2000} +} + +@article{Tan2010, + author = {Tan, C. and Chen, X.}, + title = {Intuitionistic fuzzy {C}hoquet integral operator for multi-criteria decision making}, + journal = {Expert Syst. with Applications}, + volume = {37}, + pages = {149-157}, + year = {2010} +} + + author = {Thapngam, T. and Shui, Yu and Wanlei, Zhou and Beliakov, G.}, + title = {Discriminating DDoS attack traffic from flash crowd through packet arrival patterns}, + booktitle = {Computer Communications Workshops (INFOCOM WKSHPS), 2011 IEEE Conference on}, + pages = {952-957}, + keywords = {computer network security +invasive software +telecommunication traffic +DDoS attack traffic discrimination +Pearson correlation coefficient +botnets +flash crowd +packet arrival patterns +packet transmission strategies +worms}, + year = {2011} +} + +@article{Thiessen1911, + author = {Thiessen, A.H.}, + title = {Precipitation averages for large areas}, + journal = {Monthly Weather Report}, + volume = {39}, + pages = {1082-1084}, + year = {1911} +} + +@article{Thole1979_FSS, + author = {Thole, U. and Zimmermann, H.-J. and Zysno, P.}, + title = {On the suitability of minimum and product operators for the intersection of fuzzy sets}, + journal = {Fuzzy Sets and Systems}, + volume = {2}, + pages = {167-180}, + year = {1979} +} + +@article{lasso1996, + author = {Tibshirani, R. }, + title = {Regression shrinkage and selection via the lasso}, + journal = {J. Royal. Statist. Soc B.}, + volume = {58}, + pages = {267-288}, + year = {1996} +} + +@book{Tikhonov1977, + author = {Tikhonov, A. and Arsenin, V.}, + title = {Solutions of ill-posed problems}, + publisher = {Winston and Sons}, + address = {Washington}, + year = {1977} +} + +@article{Tiskin2009_LNCS, + author = {Tiskin, A.}, + title = {Parallel Selection by Regular Sampling}, + journal = {LNCS}, + volume = {6272}, + pages = {393-399}, + year = {2009} +} + + author = {Tofallis, C.}, + title = {Introduction to Global Optimization - Horst,R, Padalos,Pm, Thoai,Nv}, + journal = {Journal of the Operational Research Society}, + volume = {47}, + number = {7}, + pages = {962}, + note = {Current Contents/Engineering, Technology and Applied Sciences Current Contents/Social and Behavioral Sciences. +Reprint available from: Tofallis C UNIV HERTFORDSHIRE HATFIELD HERTS ENGLAND 0014}, + keywords = {Engineering management/general +Management. +Reprint available from: Tofallis C. UNIV HERTFORDSHIRE, HATFIELD, HERTS, +ENGLAND.}, + year = {1996} +} + + author = {Torda, A.E. and van Gunsteren, W.F.}, + title = {Molecular modelling using NMR data}, + booktitle = {Reviews in Computational Chemistry}, + editor = {Lipkowitz, K.B. and Boyd, D.B.}, + publisher = {VCH Publishers}, + address = {New York}, + volume = {3}, + pages = {143-172}, + note = {ISBN 3-527-27845-1}, + keywords = {standard review +computational chemistry +geometry optimization +molecular mechanics (MM) +molecular structure +molecular modelling +nuclear magnetic resonance (NMR)}, + year = {1992} +} + +@book{Torn1989_book, + author = {Törn, A. and Zilinskas, A.}, + title = {Global optimization}, + publisher = {Springer-Verlag}, + address = {Berlin; New York}, + keywords = {Mathematical optimization. +Stochastic processes.}, + year = {1989} +} + +@article{Torra1997_IJIS, + author = {Torra, V.}, + title = {The weighted OWA operator}, + journal = {Int. J. Intelligent Systems}, + volume = {12}, + pages = {153-166}, + year = {1997} +} + +@inproceedings{Torra1998_IPMU, + author = {Torra, V.}, + title = {On some relationships between WOWA operator and the Choquet integral}, + booktitle = {IPMU 1998}, + address = {Paris}, + pages = {818-824}, + year = {1998} +} + + author = {Torra, V.}, + title = {On the learning of weights in some aggregation operators: The weighted mean and OWA operators}, + journal = {Mathware and Soft Computing}, + volume = {6}, + pages = {249-265}, + year = {1999} +} + + +@article{Torra2002_TFS, + author = {Torra, V.}, + title = {Learning weights for the quasi-weighted means}, + journal = {IEEE Trans. on Fuzzy Syst.}, + volume = {10}, + pages = {653-666}, + year = {2002} +} + +@article{Torra2004_TFS, + author = {Torra, V.}, + title = {OWA operators in data modeling and reidentification}, + journal = {IEEE Trans. on Fuzzy Syst.}, + volume = {12}, + pages = {652-660}, + year = {2004} +} + +@article{Torra2007_TFS, + author = {Torra, V. and Narukawa, Y.}, + title = {A View of Averaging Aggregation Operators}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {15}, + pages = {1063-1067}, + year = {2007} +} + +@book{Torra2007_book, + author = {Torra, V. +Narukawa, Y. }, + title = {Modeling Decisions. Information Fusion and Aggregation Operators}, + publisher = {Springer}, + address = {Berlin, Heidelberg}, + year = {2007} +} + +@article{Touati2010, + author = {Touati, F. and Idres, M. and Kahlouche, S.}, + title = {A Robust Method for Relative Gravity Data Estimation with High Efficiency}, + journal = {Surv Geophys}, + volume = {31}, + pages = {69-83}, + abstract = {When gravimetric data observations have outliers, using standard least squares +(LS) estimation will likely give poor accuracies and unreliable parameter estimates. One of +the typical approaches to overcome this problem consists of using the robust estimation +techniques. In this paper, we modified the robust estimator of Gervini and Yohai (2002) +called REWLSE (Robust and Efficient Weighted Least Squares Estimator), which combines +simultaneously high statistical efficiency and high breakdown point by replacing the +weight function by a new weight function. This method allows reducing the outlier impacts +and makes more use of the information provided by the data. In order to adapt this +technique to the relative gravity data, weights are computed using the empirical distribution +of the residuals obtained initially by the LTS (Least Trimmed Squares) estimator +and by minimizing the mean distances relatively to the LS-estimator without outliers. The +robustness of the initial estimator is maintained by adapted cut-off values as suggested by +the REWLSE method which allows also a reasonable statistical efficiency. Hereafter we +give the advantage and the pertinence of REWLSE procedure on real and semi-simulated +gravity data by comparing it with conventional LS and other robust approaches like M- and +MM-estimators.}, + year = {2010} +} + + author = {Townshend, A. and Wheatly, R.A.}, + title = {Oxidative chemiluminescence assay of 2,4-dinitrophenylhydrazine}, + journal = {Analyst}, + volume = {123}, + number = {5}, + pages = {1041-1046}, + note = {Manganese(II) observed to diminish chemiluminescence.}, + abstract = {This paper describes the development of an assay for 2,4-dinitrophenylhydrazine suitable for application to the determination of carbonyl compounds. Complete factorial design was used to investigate the effects of solvents and carrier on the oxidative chemiluminescence of phenylhydrazines in flow injection analysis. 2,4-dinitrophenylhydrazine gave a better analyte:blank signal than other phenylhyddrazines. Aqueous propan-2-ol was found to be the preferred solvent and aqueous formic acid containing no sensitiser the preferred carrier solution. Rhodamine B sensitiser enhanced all signals but, by it's effect on blank signals, reduced the signal to blank ratio. Simplex optimisation was carried out on six variables. The criterion was (A-B)/B where A and B are the analyte and blank signals, respectively; conditions giving analyte signals of relative standard deviation >10% were wliminated whatever the value of (A-B)/B. The optimum conditions were fine tuned by univariate exploration and emerged as 22% propan-2-ol in the sample, 0.75M formic acid carrier, 5.0x10-5M permanganate and 0.041M sulfuric acid as oxidant, 3.25 ml/min total flow rate and the water bath at 40C. These conditions can be explained in terms of a combination of flow rate and factors known to increase the rate of oxidation of 2,4-dinitrophenylhydrazine. The effects of formic acid carrier andpropan-2-ol solvent are best understood in terms of their effects in enhancing the signal by energy transfer and diminishing it by competition for permanganate. The log-log calibration for 2,4-dinitrophenylhydrazine in optimum conditions was linear (r=0.9972, n=10) from 1x10-7 to 2x10-5M; the detectivity was calculated at three standard deviations above blank was 1.1x10-7M (1.1pmol analyte). The method was found to be subject to interference from common metial ions from V to Zn in the periodic table, especially Fe(II), though EDTA largely corrected the latter effect. [References:16]}, + keywords = {Flow injection/ chemiluminescence/ permanganate/ phenylhydrazine}, + year = {1998} +} + +@book{Traub1980_book, + author = {Traub, J.F. and Wozniakowski, H.}, + title = {A General Theory of Optimal Algorithms}, + publisher = {Academic Press}, + address = {New York}, + year = {1980} +} + + author = {Trillas}, + +} + +@article{Trillas1979, + author = {Trillas, E.}, + title = {Sobre funciones de negaci\'{o}n en la teor\'{\i }a de los subconjuntos difusos}, + journal = {Stochastica}, + volume = {III}, + number = {1}, + pages = {47-59 (in Spanish) Reprinted (English version) in Advances of Fuzzy Logic, S. Barro et al. (eds), Universidad de Santiago de Compostela 31--43, 1998.}, + year = {1979} +} + +@inproceedings{Troiano2005_IFSA, + author = {Troiano, L. and Yager, R.}, + title = {A meaure of dispersion for {OWA} operators}, + booktitle = {Proc. of the 11th IFSA World Congress}, + editor = {Liu, Y. and Chen, G. and Ying, M.}, + address = {Beijing China}, + publisher = {Tsinghua University Press and Springer}, + pages = {82-87}, + year = {2005} +} + +@inproceedings{Troiano2005_EUSFLAT, + author = {Troiano, L. and Yager, R.}, + title = {On some properties of mixing {OWA} operators with t-norms and t-conorms}, + booktitle = {EUSFLAT 2005}, + editor = {Montseny, E. and Sobrevilla, P.}, + address = {Barcelona, Spain}, + publisher = {European Society for Fuzzy Logic and Technology}, + volume = {II}, + pages = {1206-1212}, + year = {2005} +} + +@article{Troiano2005_IJUFKS, + author = {Troiano, L. and Yager, R.}, + title = {Recursive and Iterative {OWA} Operators}, + journal = {Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems}, + volume = {13}, + pages = {579-599}, + year = {2005} +} + +@incollection{Troiano2006_LNAI, + author = {Troiano, L. and Yager, R.}, + title = {On the relationship between the quantifier threshold and {OWA} operators}, + booktitle = {Modeling Decisions for Artificial Intelligence}, + editor = {Torra, V. and Narukawa, Y. and Valls, A. and Domingo-Ferrer, J.}, + publisher = {Springer}, + address = {Heidelberg}, + volume = {LNAI 3885}, + pages = {215-226}, + year = {2006} +} + + author = {Trosset, Jean-Yves and Scheraga, Harold A.}, + title = {Reaching the global minimum in docking simulations: a Monte Carlo energy minimization approach using Bezier splines}, + journal = {Proceedings of the National Academy of Sciences of the United States}, + volume = {95}, + number = {14}, + pages = {p8011(5)}, + abstract = {The docking problem faces two major challenges: the global optimization of a multivariable function, such as the energy, and the ability to discriminate between true and false positive results, i.e., native from nonnative structures based on the input energy function. Among all energy evaluation tools, only a local energy-minimization method using an accurate enough potential function is able to discriminate between native and normative structures. To meet these requirements, a Monte Carlo with energy-minimization method has been incorporated into a new ECEPP/3 docking program. The efficiency of the simulation results from the use of an energy-grid technique based on Bezier splines and from a simplification of the receptor by switching on the energy of only important residues of the active site. Simulations of a thrombin-inhibitor complex show that the global minimum of the energy function was reached in every independent run within less than 3 min of time on an IBM RX 6000 computer. For comparison, 10 standard independent Monte Carlo simulations with [10.sup.6] steps in each were carried out. Only three of them led to a conformation close to the x-ray structure. The latter simulations required an average of 24 min and about 10 hr with and without the grid, respectively. Another important result is that the Bezier spline technique not only speeds up the calculation by reducing the number of operations during the energy evaluation but also helps in reaching the global minimum by smoothing out the potential energy surface.}, + keywords = {Ligand binding (Biochemistry) Research +Thrombin Research +Monte Carlo method Usage}, + year = {1998} +} + +@article{Tsadiras1999_FSS, + author = {Tsadiras, A.K. and Margaritis, K.G. }, + title = {The MYCIN certainty factor handling function as uninorm operator and its use as a threshold function in artificial neurons}, + journal = {Fuzzy Sets and Systems}, + volume = {93}, + pages = {263--274}, + year = {1999} +} + +@book{Tsay2002_book, + author = {Tsay, R.S.}, + title = {Analysis of Financial Time Series}, + publisher = {Wiley}, + address = {New-York}, + year = {2002} +} + +@incollection{Uncu2007_inbook, + author = {Uncu, O and Elghoneimy, E. and Gruver, W.A. and Kotak, D.B. and Fleetwood, M.}, + title = {Identifying aggregation weights of decision criteria: {A}pplication of fuzzy systems to wood product manufacturing}, + booktitle = {Forging New Frontiers: Fuzzy Pioneers I}, + editor = {Nikravesh, M. and Kacprzyk, J. and Zadeh, L.}, + publisher = {Springer}, + address = {Berlin, New York}, + pages = {415-435 }, + year = {2007} +} + +@article{Uranus2001, + author = {Uranus, H.P. and Tjia, M.O.}, + title = {Refractive index profile reconstruction of planar waveguides from its mode intensity using characteristic matrix mehod}, + journal = {J. Nonlinear Optical Physics and Material}, + volume = {10}, + pages = {169-180}, + year = {2001} +} + +@article{Utreras1991_CA, + author = {Utreras, F. and Varas, M.L.}, + title = {Monotone interpolation of scattered data in R^s}, + journal = {Constr. Approx.}, + volume = {7}, + pages = {49-68}, + year = {1991} +} + +@article{Utreras1981b, + author = {Utreras, F.I.}, + title = {Optimal smoothing of noisy data using spline functions}, + journal = {SIAM J.Sci. Statist. Comput.}, + volume = {2}, + pages = {349-362}, + year = {1981} +} + +@article{Utreras1985, + author = {Utreras, F.I.}, + title = {Smoothing noisy data under monotonicity constraints existence, characterization and convergence rates}, + journal = {Numerische Mathematik}, + volume = {47}, + number = {4}, + pages = {611-625}, + keywords = {Mathematics and Statistics}, + year = {1985} +} + + author = {Vacca, J.}, + title = {The World's 20 Greatest Unsolved Problems}, + publisher = {Prentice Hall}, + address = {Upper Saddle River (NJ)}, + note = { +Table of Contents +I. ASTRONOMY AND COSMOLOGY. + 1. Astronomy: The Mystery of Dark Matter. + 2. Cosmology: The Creation of the Universe. + 3. Theoretical Cosmology and Particle Physics: The Cosmological Constant Problem. +II. PHYSICS AND ASTROPHYSICS. + 4. Gravity: The Construction of a Consistent Quantum Theory of Gravity. + 5. Particle Physics: The Mechanism that Makes Fundamental Mass. + 6. Particle Physics and Astrophysics: The Solar Neutrino Problem. + 7. Astrophysics: The Source of Gamma Ray Bursts. + 8. Theoretical High-Energy Physics: The Unification of the Basic Forces. + 9. Solid State Physics: The Mechanism Behind High-Temperature Superconductors. +III. BIOLOGY AND PALEONTOLOGY. +10. Biology: How the Basic Processes of Life Are Carried Out by DNA and Proteins. +11. Biology: Protein Folding. +12. Paleontology: How Present-Day Microbiological Information Can Be Used to Reconstruct "The Ancient Tree of Life". +IV. NEUROSCIENCE. +13. Free Will. +14. Consciousness. +V. GEOLOGY. +15. The Dynamics of the Inner Earth. +16. Earthquake Predicting. +VI. CHEMISTRY. +17. How Microscopic Atomic Forces Produce Various Macroscopic Behaviors. +18. The Fabrication and Manipulation of Carbon-Based Structures (Fullerenes). +VII. ENERGY. +19. Electrical Energy: Free Energy--The Quantum Mechanical Vacuum. +20. Nuclear Fusion and Waste.}, + abstract = {Today's greatest scientific minds discuss the most intriguing unsolved scientific questions. +* Input from over 60 brilliant scientists selected by their colleagues. +* Topics include: The Beginnings of the Universe, Earthquake Prediction and the Mystery of Darkmatter. +* For the curious, the technical and the general science reader. +The World's 20 Greatest Unsolved Problems provides a step-by-step discussion of 20+ of the greatest unsolved problems in science. Given this wealth of unsolved problems in science, the author interviewed some 60 scientists (including the great physicist and cosmologist Dr. Stephen Hawking) to predict what unanswered questions and/or unsolved problems will dominate their fields over the next 20 years. Almost 100 researchers were surveyed to find these scientists, asking for nominations of the persons who are the best-of-the-best in their respective fields around the globe, and who have demonstrated a once-in-a-generation insight. The book is organized into eight parts composed of 21 chapters and four appendices, which includes an extensive glossary of scientific terms and acronyms at the back. Whether it's physicist Hideo Mabuchi's discoveries about the interface between quantum mechanics and everyday life or conservation biologist Gretchen Daily's rigorous assessments of ecosystems and economics, this new generation of scientists are probing the frontiers of knowledge, and have already shown the promise (or the work) that makes senior scientists applaud in awe.}, + keywords = {book}, + year = {2004} +} + + author = {Van Eyk, J. and Dunn, M.J.}, + title = {Proteomic and Genomic Analysis of Cardiovascular Disease}, + publisher = {Wiley}, + note = {Table of Contents: +GENOMICS +Large scale expression profiling in cardiovascular disease using microarrays: prospects and pitfalls +Global Genomic Analyses of Cardiovascular Disease: A Potential Map or Blind Alley? +Heart Failure: A Genomics Perspective +Experimental application of the genomic microarray analysis of both human and animal models of heart failure +Gene Profiling in the Heart by Subtractive Hybridization +DNA Mircoarray Gene Profiling: A Tool for the Elucidation of Cardioprotective Genes +Pitfalls Associated With cDNA Microarrays; +A Cautionary Tale +Application of Biologic Skepticism to Analysis of Expression Phenotypes +Genes involved in atherosclerosis and plaque formation +PROTEOMICS +Proteomics of the Cardiovascular Disease - A Step Beyond Genomics +Mass spectrometry - A Powerful Analytical Tool +Differential Expression Proteomic Analysis Using Isotope Coded Affinity Tags +Protein chip technology in proteomics analysis +Recent Applications of Functional Proteomics: investigations in smooth muscle cell physiology +Gene Expression Profiling in Pulmonary and Systemic Vascular Cells Exposed to Biomechanical Stimuli +Identification of Targets of Phosphorylation in Heart Mitochondria +Proteomic Characterization of Protein Kinase C Signaling Tasks in the Heart +Identification of Secreted Oxidative Stress-Induced Factors (SOXF) and Associated Proteins: +Proteomics in Vascular Biology +Myofilament proteomics: understanding contractile dysfunction in cardiorespiratory disease +FUTURE PERSPECTIVES +Genomics Perspective for Drug Discovery +Proteomics: A Post-Genomic Platform for Drug Discovery and Development}, + abstract = {This book is the very first one focusing on the proteomic and genomic analysis of cardiovascular disease, the number one killer in the industrial world. These new research approaches have already revealed new and exciting discoveries that will eventually aid in the development of new diagnostic markers and new therapeutic approaches for the control and treatment of heart disease. + +Organized in two parts the book describes the potentials but also the limitations of these technologies. The various strategies and technical aspects that will assist the growing number of researchers in the cardiovascular area attempting to utilize these approaches are highlighted. Also the transition into clinical applications is covered. Thus, the book offers a wonderful opportunity to educate and inform graduate students, post-doctoral fellows but also professional researchers in academia and industry about the new developments in this area.}, + year = {2003} +} + + author = {Van Hentenryck, Pascal and Michel, Laurent and Deville, Yves}, + title = {Numerica: a modeling language for global optimization}, + publisher = {MIT Press}, + address = {Cambridge, Mass.}, + note = {97000990 +Pascal Van Hentenryck, Laurent Michel, Yves Deville. +Includes bibliographical references (p. [203]-206) and index.}, + keywords = {Mathematical optimization. +Nonlinear programming.}, + year = {1997} +} + + author = {Vanderbei, R. J.}, + title = {Extension of Piyavskii's algorithm to continuous global optimization}, + journal = {Journal of Global Optimization}, + volume = {14}, + number = {2}, + pages = {205-216}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Vanderbei RJ Princeton Univ, Sch Engn and Appl Sci Princeton, NJ 08544 USA Princeton Univ, Sch Engn and Appl Sci Princeton, NJ 08544 USA 0006 J. Glob. Optim}, + abstract = {We use the simple, but little-known, result that a uniformly continuous function on a convex set is epsilon-Lipschitz (as defined below) to extend Piyavskii's algorithm for Lipschitz global optimization to the larger domain of continuous (not-necessarily-Lipschitz) global optimization. [References: 12] 12}, + keywords = {Global optimization. Lipschitz continuity. Piyavskii's algorithm. +Uniform continuity. +Univariate lipschitz functions. +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +1999 week 24 +Reprint available from: Vanderbei RJ. Princeton Univ, Sch Engn and Appl +Sci, Princeton, NJ 08544, USA, .}, + year = {1999} +} + +@book{Vanderbei1996_book, + author = {Vanderbei, R.J.}, + title = {Linear Programming: Foundations and Extensions}, + publisher = {Kluwer Academic Publishers}, + address = {Boston}, + year = {2001} +} + + author = {Vandev, D.L. and Neykov, N.M.}, + title = {About regression estimators with high breakdown point}, + journal = {Statistics}, + volume = {32}, + pages = {111-129}, + year = {1998} +} + + author = {Vapnik, V.}, + title = {The nature of statistical learning theory}, + publisher = {Springer}, + address = {New York}, + year = {1996} +} + + author = {Vasconcelos, J. A. and Saldanha, R. R. and Krahenbuhl, L. and Nicolas, A.}, + title = {Genetic algorithm coupled with a deterministic method for optimization in electromagnetics}, + journal = {IEEE Transactions on Magnetics}, + volume = {33}, + number = {2}, + pages = {p1860(5)}, + abstract = {In this paper, a hybrid technique for global optimization based on the genetic algorithm and a deterministic method is presented. A potential advantage of the hybrid method compared to the genetic algorithm is that global optimization can be performed more efficiently. An intrinsic problem of the hybrid techniques is related to the moment of stopping the stochastic routine to hunch the deterministic one. This is investigated using some natural criteria for the commutation between the two methods. The results show that it is possible to gain in efficiency and in accuracy but the criterion is usually problem dependent. Finally, to show the solution of a real problem, the hybrid algorithm is coupled to a 2D code based on the boundary element method to optimize a connector of 145 kV GIS.}, + keywords = {Electromagnetism Research +Mathematical optimization Usage +Algorithms Usage}, + year = {1997} +} + + author = {Vassiliadis, V. S. and Floudas, C. A.}, + title = {The Modified Barrier Function Approach for Large-Scale Optimization}, + journal = {Computers and Chemical Engineering}, + volume = {21}, + number = {8}, + pages = {855-874}, + note = {Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Floudas CA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA PRINCETON UNIV DEPT CHEM ENGN PRINCETON, NJ 08544 USA}, + abstract = {This paper studies the modified barrier function approach for large-scale nonlinear constrained optimization. Following a review of the recent literature on modified barrier function approaches for nonlinear optimization, the steps of a proposed algorithm are examined in full detail. The basic steps of this algorithm comprise an outer iteration, in which the Lagrange multipliers and various penalty parameters are updated, and an inner iteration, in which an unconstrained nonlinear optimization problem is solved. The algorithm presented has been implemented in a general-purpose routine which is denoted as MBFSOL. Numerical results are presented for a variety of problems, from small to very large-scale. The examples show the effectiveness of the algorithm in very large problems, particularly in bound constrained case studies of up to many thousands of variables and severe ill-conditioning. (C) 1997 Elsevier Science Ltd. [References: 25]}, + keywords = {Chemical engineering.}, + year = {1997} +} + + author = {Vila, J. and Williams, R.L. and Vásquez, M. and Scheraga, H.A.}, + title = { (solvation model: solvent-accessible surface model)}, + journal = {Proteins Struct. Funct. Genet.}, + volume = {10}, + pages = {199}, + keywords = {journal +solvation model +solvent-accessible surface model}, + year = {1991} +} + + author = {Vilesov, A. D. and Floudas, G. and Pakula, T. and Melenevskaya, E. Y. and Birshtein, T. M. and Lyatskaya, Y. V.}, + title = {Lamellar Structure Formation in the Mixture of 2 Cylinder-Forming Block Copolymers}, + journal = {Macromolecular Chemistry and Physics}, + volume = {195}, + number = {7}, + pages = {2317-2326}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Pakula T MAX PLANCK INST POLYMER RES POSTFACH 3148 D-55021 MAINZ GERMANY MAX PLANCK INST POLYMER RES POSTFACH 3148 D-55021 MAINZ GERMANY RUSSIAN ACAD SCI INST MACROMOLEC CPDS ST PETERSBURG 199004 RUSSIA 0004}, + abstract = {Two cylinder-forming polystyrene-block-polybutadiene block copolymers of type A-B with antisymmetric composition (polymer P1 with A:B = 3:1 (w/w) and polymer P2 with A:B = 1:3 (w/w)) and their binary mixture were studied by small-angle X-ray scattering (SAXS) and transmission electron microscopy (TEM) in order to determine the microphase structure. The cylindrical microstructure is confirmed for both copolymers, whereas, in the mixture, both techniques have unambiguously shown that a regular lamellar structure is obtained at the polymer-polymer composition P1:P2 = 1:1 (ratio of the numbers of chains). Qualitatively, the same results are obtained for corresponding systems simulated by the cooperative motion algorithm (CMA). Direct observations of the structure as well as the cooperative structure factors determined in the strong segregation limit for the simulated systems indicated lamellar structures in the blend of composition P1:P2 = 1:1, in contrast to the microfibrillar morphology of the copolymers. The simulation additionally indicated a polymer-polymer microseparation. The experimental and simulation results are compared with theoretical predictions based on the self consistent field theory. [References: 15] 15}, + keywords = {Supermolecular structures. Diblock copolymers. Monte-carlo. 2-block. +Layers. Chains. +Organic chemistry/polymer science. +Reprint available from: Pakula T. MAX PLANCK INST POLYMER RES, POSTFACH +3148, D-55021 MAINZ, GERMANY.}, + year = {1994} +} + + author = {Vivas, N. and Laguerre, M. and Glories, Y. and Bourgeois, G. and Vitry, C.}, + title = {Structure simulation of two ellagitannins from Quercus robur L}, + journal = {Phytochemistry}, + volume = {39}, + number = {5}, + pages = {1193-1199}, + abstract = {Two major ellagitannins from Quercus robur, vescalagin and castalagin, were studied by H-1 NMR and LSI-mass spectrometry, and molecular mechanics. A plausible 3D-structure is proposed for each of the two diastereoisomers. These structures were the most stable ones found after a conformational analysis study and their calculated NMR spectra are in good accordance with measured ones.}, + keywords = {Quercus robur +Fagaceae +oak +ellagitannins +vescalagin +castalagin +molecular mechanics (MM) +nuclear magnetic resonance (NMR) +molecular modelling +molecular structure +conformation +conformational analysis +hydrolyzable tannins +polyphenols}, + year = {1995} +} + +@book{Voss2002_book, + author = {Voss, S. and Woodruff, D.}, + title = {Optimization Software Class Libraries}, + publisher = {Kluwer Academic Publishers}, + address = {Boston, Dordrecht}, + year = {2002} +} + +@article{Vu2012_TSMC, + author = {Vu, H.Q. and Li, G. and Sukhorukova, N. and Beliakov, G. and Liu, S. and Philippe, C. and Amiel, H. and Ugon, A.}, + title = {K-complex Detection using a Hybrid-Synergic Machine Learning method}, + journal = {IEEE Trans. on Systems, Man, Cybernetics, Part C}, + volume = {in press}, + year = {2012} +} + + author = {Wahba, G}, + title = {Spline models for observational data}, + publisher = {SIAM}, + address = {Philadelphia}, + year = {1990} +} + +@article{Waldron1998_SIAM, + author = {Waldron, S.}, + title = {The error of linear interpolation at the vertices of a simplex}, + journal = {SIAM J. Numer. Anal.}, + volume = {35}, + pages = {1191-1200}, + year = {1998} +} + + author = {Wales, D. J. and J., Doye}, + title = {Global optimization by basin-hopping at the lowest energy structures of Lennard-Jones clusters containing up to 110 atoms}, + journal = {J. Phys. Chem.}, + volume = {101}, + pages = {5111-5116}, + year = {1997} +} + +@article{Wales1999_sc, + author = {Wales, D. J. and Scheraga, H. A.}, + title = {Review: Chemistry - Global optimization of clusters, crystals, and biomolecules}, + journal = {Science}, + volume = {285}, + number = {5432}, + pages = {1368-1372}, + note = {Current Contents(R)/Agriculture, Biology and Environmental Sciences Current Contents(R)/Life Sciences Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Wales DJ Univ Chem Labs Lensfield Rd Cambridge CB2 1EW England Univ Chem Labs Cambridge CB2 1EW England Cornell Univ, Baker Lab Chem and Chem Biol Ithaca, NY 14853 USA 0032 Science}, + abstract = {Finding the optimal solution to a complex optimization problem is of great importance in many fields, ranging from protein structure prediction to the design of microprocessor circuitry. Some recent progress in finding the global minima of potential energy functions is described, focusing on applications of the simple "basin-hopping" approach to atomic and molecular clusters and more complicated hypersurface deformation techniques for crystals and biomolecules. These methods have produced promising results and should enable Larger and more complex systems to be treated in the future. [References: 102] 102}, + keywords = {Lennard-jones clusters. Diffusion equation method. Multiple-minima +problem. Classical density distribution. Modified genetic algorithm. +Lowest-energy structures. Protein-folding problem. Monte-carlo method. +Atomic clusters. Geometry optimization. +Multidisciplinary in Current Contents(R)/Agricultural, Biology and +Environmental Sciences +Multidisciplinary in Current Contents(R)/Life Sciences +Multidisciplinary in Current Contents(R)/Physical, Chemical and Earth +Sciences. +1999 week 38 +Reprint available from: Wales DJ. Univ Chem Labs, Lensfield Rd, Cambridge +CB2 1EW, England.}, + year = {1999} +} + +@article{Walker1974_Ellett, + author = {Walker, A.J.}, + title = {New fast method for generating discrete random numbers with arbitrary frequency distributions}, + journal = {Electron. Lett.}, + volume = {10}, + pages = {127-128}, + year = {1974} +} + + author = {Walters, F.H. and Parker, L.R., Jnr. and Morgan, S.L. and Deming, S.N.}, + title = {Sequential Simplex Optimization}, + publisher = {CRC Press}, + address = {Boca Raton, FL}, + keywords = {simplex optimisation}, + year = {1991} +} + +@incollection{Wan1994, + author = {Wan, E.A.}, + title = {Time series prediciton by using a connectionist network with internal delay lines}, + booktitle = {Time Series Prediciton}, + editor = {Weigend, A.S. and Gershenfeld, N.A.}, + publisher = {Addison-Wesley}, + address = {Reading, MA}, + pages = {195-217}, + year = {1994} +} + + author = {Wang, Chuan and Principe, Jose C.}, + title = {Training Neural Networks with Additive Noise in the Desired Signal}, + journal = {IEEE Transactions on Neural Networks}, + volume = {10}, + number = {6}, + pages = {1511}, + abstract = {A new global optimization strategy for training adaptive systems such as neural networks and adaptive filters [finite or infinite impulse response (FIR or IIR)] is proposed in this paper. Instead of adding random noise to the weights as proposed in the past, additive random noise is injected directly into the desired signal. Experimental results show that this procedure also speeds up greatly the backpropagation algorithm. The method is very easy to implement in practice, preserving the backpropagation algorithm and requiring a single random generator with a monotonically decreasing step size per output channel. Hence, this is an ideal strategy to speed up supervised learning, and avoid local minima entrapment when the noise variance is appropriately scheduled. +Index Terms--Adaptive filters, global optimization, neural networks, speaker identification, training algorithms.}, + keywords = {Neural networks Research +Noise generators (Electronics) Design and construction +Algorithms Usage +United States}, + year = {1999} +} + +@article{Wang1998_JIFS, + author = {Wang, W. and Wang, Z. and Klir, G.J.}, + title = {Genetic algorithms for determining fuzzy measures from data}, + journal = {J. Intell. Fuzzy Systems}, + volume = {6}, + pages = {171-183}, + year = {1998} +} + +@article{Wang2005_IS, + author = {Wang, Y.M. and Parkan, C.}, + title = {A minimax disparity approach for obtaining {OWA} operator weights}, + journal = {Inform. Sci.}, + volume = {175}, + pages = {20-29}, + year = {2005} +} + +@book{Wang1992_book, + author = {Wang, Z. and Klir, G.}, + title = {Fuzzy Measure Theory}, + publisher = {Plenum Press}, + address = {New York}, + year = {1992} +} + +@article{Wang2000_FSS, + author = {Wang, Z. and Leung, K.S. and Wang, J.}, + title = {Determining nonnegative monotone set functions based on {S}ugeno's integral: an application of genetic algorithms}, + journal = {Fuzzy Sets and Systems }, + volume = {112 }, + pages = {155-164}, + year = {2000} +} + + author = {Warren, J. and Beliakov, G. and van der Zwaag, B.}, + title = {Fuzzy logic in clinical practice decision support systems}, + booktitle = {33nd Hawai'i International Conference on Systems Science}, + address = {Hawaii}, + publisher = {IEEE Computer Society Press}, + year = {2000} +} + + author = {Warren, J. and Noone, J. and Smith, B. and Ruffin, R. and Frith, P. and van der Zwaag, B. and Beliakov, G. and Frankel, H.}, + title = {Automated Attention Flags in Chronic Disease Care Planning}, + journal = {Ausralian Medical Journal}, + volume = {175}, + pages = {308-312}, + year = {2001} +} + +@article{Wass2006_SC, + author = {Wass, J.}, + title = {Global optimization with Maple - an add-on toolkit for the experienced scientist}, + journal = {Scientific Computing}, + volume = {June 2006}, + pages = {16}, + year = {2006} +} + +@book{Watson1992_book, + author = {Watson, D. F.}, + title = {Contouring: A Guide to the Analysis and Display of Spatial Data}, + publisher = {Pergamon Press}, + address = {Oxford}, + year = {1992} +} + +@article{Watson2000_JCAM, + author = {Watson, G.A.}, + title = {Approximation in normed linear spaces}, + journal = {J. Comp. Appl. Math.}, + volume = {121}, + pages = {1-36}, + year = {2000} +} + +@book{Weaver1999_book, + author = {Weaver, N.}, + title = {Lipschitz Algebras}, + publisher = {World Scientific}, + address = {Singapore}, + year = {1999} +} + +@article{Weber1983_FSS, + author = {Weber, S.}, + title = {A general concepts on fuzzy connectives, negations and implications based on t--norms and t--conorms}, + journal = {Fuzzy Sets and Systems}, + volume = {11}, + pages = {115-134}, + year = {1983} +} + +@article{weber-84, + author = {Weber, S.}, + title = {Measures of fuzzy sets and measures on fuzziness}, + journal = {Fuzzy Sets and Systems}, + volume = {13}, + pages = {114-138}, + year = {1984} +} + +@book{Webster2000_book, + author = {Webster, D.M.}, + title = {Protein Structure Prediction: Methods and Protocols}, + publisher = {Humana}, + address = {Totowa (NJ)}, + keywords = {protein +conformation +molecular modelling}, + year = {2000} +} + +@article{Wei2010, + author = {Wei, G}, + title = {Some induced geometric aggregation operators with intuitionistic fuzzy +information and their application to group decision making}, + journal = {Applied Soft Computing}, + volume = {in press}, + year = {2010} +} + +@book{Weigend1994_book, + author = {Weigend, A.S. and Gershenfeld, N.A.}, + title = {Time Series Prediction}, + publisher = {Addison-Wesley}, + address = {Reading, MA}, + year = {1994} +} + +@book{CRCEncyclopedia2002, + author = {Weisstein, E. W. }, + title = {CRC Concise Encyclopedia of Mathematics}, + publisher = {CRC Press}, + address = {Boca Raton}, + year = {2002} +} + +@article{Weiszfeld, + author = {Weiszfeld, E. }, + title = {Sur le point pour lequel la somme des distances de n points donnes est minimum}, + journal = {Tohoku Math. Journal}, + volume = {43}, + pages = {355--386}, + year = {1937} +} + + author = {Wells, J. R. and Ting, K. M. and Murshed, M. and Beliakov, G.}, + title = {Analysis of Runtime Performance using Heap Data Structure for the Cutting Angle Global Optimisation Algorithm}, + booktitle = {6th Intl. Conf. on Computer and Informatin Technology}, + address = {Dhaka, Bangladesh}, + pages = {in press}, + year = {2003} +} + + author = {Westerberg, K. M. and Floudas, C. A.}, + title = {Dynamics of peptide folding: Transition states and reaction pathways of solvated and unsolvated tetra-alanine}, + journal = {Journal of Global Optimization}, + volume = {15}, + number = {3}, + pages = {261-297}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Westerberg KM Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA 0003 J. Glob. Optim}, + abstract = {A new approach is proposed for enclosing all stationary states, including saddle points of all orders, of a potential energy surface based on the alpha BB deterministic branch and bound global optimization algorithm. This method is based on rigorous optimization methods and offers a theoretical guarentee of enclosing all solutions to the equation del V = 0. This method is applied to the ECEPP/3 (Empirical Conformational Energy Program for Peptides) potential energy surfaces of unsolvated and solvated tetra-alanine. By analyzing the topography of the potential energy surfaces, we calculate reaction pathways, transition rate matrices, time-evolution of occupation probabilities, and rate disconnectivity graphs, and we identify appropriate criteria for the selection of a reaction coordinate. [References: 18] 18}, + keywords = {Global optimization. Dynamics. Peptide folding. Tetra-alanine. +Potential-energy surfaces. Differentiable constrained nlps. Global +optimization method. Stationary-points. Alpha-bb. Algorithm. Systems. +Walking. +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +2000 week 04 +Reprint available from: Westerberg KM. Princeton Univ, Dept Chem Engn, +Princeton, NJ 08544, USA, .}, + year = {1999} +} + + author = {Westerberg, K. M. and Floudas, C. A.}, + title = {Locating all transition states and studying the reaction pathways of potential energy surfaces}, + journal = {Journal of Chemical Physics}, + volume = {110}, + number = {18}, + pages = {9259-9295}, + note = {Current Contents(R)/Physical, Chemical and Earth Sciences. +Reprint available from: Floudas CA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA Princeton Univ, Dept Chem Engn Princeton, NJ 08544 USA 0049 J. Chem. Phys}, + abstract = {We propose a new method for calculating all stationary states, including saddle points of all orders, of a potential energy surface based on the alpha BB deterministic branch and bound global optimization algorithm. This method is based on rigorous optimization methods and offers a theoretical guarantee of enclosing all solutions to the equation del V=0. We apply this method to Murrel-Sorbie analytic potential energy surfaces of HCN, HSiN, HBO, and CS2, and to the Empirical Conformational Energy Program for Peptides (ECEPP/3) potential energy surfaces of alanine, alanine dipeptide, and tetra-alanine. For alanine, alanine dipeptide, and tetra-alanine, we proceed to analyze the topography of the potential energy surface by calculating reaction pathways, transition rate matrices, time-evolution of occupation probabilities, and rate disconnectivity graphs. (C) 1999 American Institute of Physics. [S0021-9606(99)50818-0]. [References: 35] 35}, + keywords = {Differentiable constrained nlps. Global optimization method. Structure +prediction. Stationary-points. Alanine dipeptide. Aqueous-solution. +Alpha-bb. Dynamics. Algorithm. Peptides. +Physical Chemistry/Chemical Physics in Current Contents(R)/Physical, +Chemical and Earth Sciences. +1999 week 22 +Reprint available from: Floudas CA. Princeton Univ, Dept Chem Engn, +Princeton, NJ 08544, USA, .}, + year = {1999} +} + +@article{White1976, + author = {White, J.M. and Heidrich, P.F.}, + title = {Optical waveguide refractive index profiles determined from measurement of mode indices: a simple analysis}, + journal = {Applied Optics}, + volume = {15}, + pages = {151-155}, + year = {1976} +} + + author = {Whyte, A.R. and Lim, K.F. and Gilbert, R.G. and Hase, W.L.}, + title = {The calculation and interpretation of average collisional energy transfer parameters}, + journal = {Chem. Phys. Lett.}, + volume = {152}, + number = {4,5}, + pages = {377-381}, + keywords = {journal +collisional energy transfer (CET) +molecular dynamics (MD) +quasiclassical trajectory (QCT)}, + year = {1988} +} + + author = {Wider, G.}, + title = {Structure determination of biological macromolecules in solution using nuclear magnetic resonance spectroscopy}, + journal = {Biotechniques}, + volume = {29}, + number = {6}, + pages = {1278}, + note = { Reprint available from: + Wider G + ETH Honggerberg, Inst Mol Biol & Biophys + CH-8093 Zurich + Switzerland}, + abstract = {A detailed understanding of the function of a biological macromolecule requires knowledge of its three-dimensional structure. Most atomic-resolution structures of biological macromolecules have been solved either by X-ray diffraction in single crystals or by nuclear magnetic resonance (NMR) in solution. This review surveys the method of NMR structure determination. First, a brief introduction to NMR and its basic concepts is presented. The main part of the article deals with the individual steps necessary for apr NMR structure determination. At the end, the discussion turns to considerations on the influence of the molecular size of the macromolecules on the structure determination by NMR. New techniques al-e discussed that greatly enhance the possibilities of applying NMR to large molecular systems.}, + keywords = {journal +review +nuclear magnetic resonance (NMR) +molecular shape +molecular structure +geometry optimization +protein-structure determination +nuclear Overhauser effect (NOE) +distance geometry}, + year = {2000} +} + +@article{Wilcox2004, + author = {Wilcox, R.R.}, + title = {Some results on extensions and modifications of the Theil-Sen regression estimator}, + journal = {British Journal of Mathematical and Statistical Psychology}, + volume = {57}, + number = {2}, + pages = {265-280}, + abstract = {Many robust regression estimators have been proposed that have a high, finite-sample breakdown point, roughly meaning that a large porportion of points must be altered to drive the value of an estimator to infinity. But despite this, many of them can be inordinately influenced by two properly placed outliers. With one predictor, an estimator that appears to correct this problem to a fair degree, and simultaneously maintain good efficiency when standard assumptions are met, consists of checking for outliers using a projection-type method, removing any that are found, and applying the Theil – Sen estimator to the data that remain. When dealing with multiple predictors, there are two generalizations of the Theil – Sen estimator that might be used, but nothing is known about how their small-sample properties compare. Also, there are no results on testing the hypothesis of zero slopes, and there is no information about the effect on efficiency when outliers are removed. In terms of hypothesis testing, using the more obvious percentile bootstrap method in conjunction with a slight modification of Mahalanobis distance was found to avoid Type I error probabilities above the nominal level, but in some situations the actual Type I error probabilities can be substantially smaller than intended when the sample size is small. An alternative method is found to be more satisfactory. }, + year = {2004} +} + + author = {Wilkinson, Barry and Allen, C. Michael}, + title = {Parallel programming: techniques and applications using networked workstations and parallel computers}, + publisher = {Prentice Hall}, + address = {Upper Saddle River, N.J.}, + note = {98027241 +Barry Wilkinson, Michael Allen. +Pt. I. Basic Techniques. Ch. 1. Parallel Computers. Ch. 2. Message-Passing Computing. Ch. 3. Embarrassingly Parallel Computations. Ch. 4. Partitioning and Divide-and-Conquer Strategies. Ch. 5. Pipelined Computations. Ch. 6. Synchronous Computations. Ch. 7. Load Balancing and Termination Detection. Ch. 8. Programming with Shared Memory -- Pt. II. Algorithms and Applications. Ch. 9. Sorting Algorithms. Ch. 10. Numerical Algorithms. +"An Alan R. Apt book." +Includes bibliographical references and index.}, + abstract = {Designed for an undergraduate computer science student or professional, this text covers the techniques of parallel programming in a practical manner that enables students to write and evaluate their parallel programs. Supported by the National Science Foundation and exhaustively class-tested, it is the first text of its kind that does not require access to a special multiprocessor system, concentrating instead on parallel programs that can be executed on networked workstations using freely available parallel software tools.}, + keywords = {Parallel programming (Computer science)}, + year = {1999} +} + +@article{Willemans1996_NA, + author = {Willemans, K. and Dierckx, P.}, + title = {Smoothing scattered data with a monotone Powell-Sabin spline surface}, + journal = {Numerical Algorithms}, + volume = {12}, + pages = {215-232}, + year = {1996} +} + + author = {Winter, G.}, + title = {Genetic algorithms in engineering and computer science}, + publisher = {New York: J. Wiley}, + address = {Chichester, West Sussex, England;}, + note = {96177148 +Gb95-97617 +edited by G. Winter ... [et al.] +Includes bibliographical references.}, + keywords = {Neural networks (Computer science) +Genetic algorithms. +Artificial intelligence.}, + year = {1995} +} + + author = {Wladkowski, B.D. and Lim, K.F. and Allen, W.D. and Brauman, J.I.}, + title = {The SN2 identity exchange reaction ClCH2CN + Cl– Æ Cl– + ClCH2CN: experiment and theory}, + journal = {J. Am. Chem. Soc.}, + volume = {114}, + number = {23}, + pages = {9136-9153}, + keywords = {ion-molecule +Fourier-transform ion cyclotron resonance (FT-ICR) +Rampsberger-Rice-Kassel-Marcus (RRKM)}, + year = {1992} +} + + author = {Wolf, Matthew D. and Landman, Uzi}, + title = {Genetic algorithms for structural cluster optimization}, + journal = {Journal of Physical Chemistry A}, + volume = {102}, + number = {30}, + pages = {6129(9)}, + abstract = {A study was conducted relating to research on the development of optimization strategies particularly global optimization strategies in the field of physical sciences. The study examined in some detail the use of genetic algorithms for atomic and molecular cluster structural optimization through systematic observations of Lennard-Jones clusters with as many as 100 atoms. Several further extensions for improving the performance of genetic algorithms in such investigations are suggested.}, + keywords = {Algorithms Analysis +Structural optimization Case studies +Molecular structure Research +Atomic structure Research}, + year = {1998} +} + +@article{Wolfe1976, + author = {Wolfe, P.H.}, + title = {Finding the nearest point in a polytope}, + journal = {Math. Progr.}, + volume = {11}, + pages = {128-149}, + year = {1976} +} + + author = {Wong, Kit Po and Fan, Bei and Chang, C. S. and Liew, A. C.}, + title = {Multi-objective generation dispatch using bi-criterion global optimization}, + journal = {IEEE Transactions on Power Systems}, + volume = {10}, + number = {4}, + pages = {p1813(7)}, + abstract = {This paper proposes a bi-criterion global optimisation approach to determine the most appropriate generation dispatch solution taking into account fuel costs, environmental costs and security requirements of power networks. The approach is based on the simulated annealing technique and the formation of a bi-criterion objective function. Its effectiveness is demonstrated through an example, in which the sample test system is a 3-area interconnected and longitudinal system. Keywords: generation dispatch, multi-objective global optimisation, simulated annealing, security constraints}, + keywords = {Electric power systems Load dispatching +Electric power production Models +Multiple criteria decision making Technique +Mathematical optimization Technique}, + year = {1995} +} + +@article{Wood1991_CMA, + author = {Wood, G. R.}, + title = {Multidimensional bisection applied to global optimization}, + journal = {Computers Math. Applic.}, + volume = {21}, + pages = {161-172}, + year = {1991} +} + +@article{Wood1996_JOGO, + author = {Wood, G. R. and Zhang, B.P.}, + title = {Estimation of the Lipschitz constant of a function}, + journal = {J. Global Optim.}, + volume = {8}, + pages = {91--103}, + year = {1996} +} + +@book{Wright1997_book, + author = {Wright, S.J.}, + title = {Primal-Dual Interior-Point Methods}, + publisher = {SIAM Publications}, + address = {Philadelphia}, + year = {1997} +} + + author = {Wu, D. and Wu, Z.J.}, + title = {An updated geometric build-up algorithm for solving the molecular distance geometry problem with sparse distance data}, + journal = {Journal of Global Optimization}, + keywords = {global optimization +distance geometry +Protein structure determination +numerical linear algebra and optimization +molecular structure +distance geometry +protein structure determination +numerical linear algebra +optimization}, + year = {2003, submitted} +} + +@article{Wu2007_KIS, + author = {Wu, Xindong and Kumar, Vipin and Quinlan, J. Ross and Ghosh, Joydeep and Yang, Qiang and Motoda, Hiroshi and McLachlan, Geoffrey J. and Ng, Angus and Liu, Bing and Yu, Philip S. and Zhou, Zhi-Hua and Steinbach, Michael and Hand, David J. and Steinberg, Dan}, + title = {Top 10 algorithms in data mining}, + journal = {Knowl. Inf. Syst.}, + volume = {14}, + number = {1}, + pages = {1-37}, + note = {1327436}, + year = {2007} +} + +@article{Grabisch2007_FSS, + author = {Xie, L. and Grabisch, M.}, + title = {The core of bicapacities and bipolar games}, + journal = {Fuzzy Sets and Systems}, + volume = {158}, + pages = {1000-1012}, + year = {2007} +} + +@article{Xu2010_IS, + author = {Xu, Z.}, + title = {Choquet integrals of weighted intuitionistic fuzzy information}, + journal = {Inf. Sciences}, + volume = {in press}, + year = {2010} +} + +@article{Xu2008_EJOR, + author = {Xu, Z. and Chen, J.}, + title = {Some models for deriving the priority weights from interval fuzzy preference relations}, + journal = {Europ. J. Oper. Res.}, + volume = {184 }, + pages = {266-280}, + year = {2008} +} + + author = {Xu, Z. and Huang, H. X. and Pardalos, P. M. and Xu, C. X.}, + title = {Filled functions for unconstrained global optimization}, + journal = {Journal of Global Optimization}, + volume = {20}, + number = {1}, + pages = {49-65}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Xu Z Univ Florida, Dept Ind and Syst Engn Gainesville, FL 32611 USA Univ Florida, Dept Ind and Syst Engn Gainesville, FL 32611 USA Tsing Hua Univ, Dept Math Sci Beijing 100084 Peoples R China Xian Jiao Tong Univ, Fac Sci Xian 710049 Peoples R China 0003 J. Glob. Optim}, + abstract = {This paper is concerned with filled function techniques for unconstrained global minimization of a continuous function of several variables. More general forms of filled functions are presented for smooth and non-smooth optimization problems. These functions have either one or two adjustable parameters. Conditions on functions and on the values of parameters are given so that the constructed functions have the desired properties of filled functions. [References: 13] 13}, + keywords = {Global optimization. Local minimizer. Filled function. Basin. Hill. +Minimizers. Variables. +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +2001 week 25}, + year = {2001} +} + +@article{XuYager2006, + author = {Xu, Z. and Yager, R.}, + title = {Some geometric aggregation operators based on intuitionistic fuzzy sets}, + journal = {Int. J. General Syst.}, + volume = {35}, + pages = {417-433}, + year = {2006 } +} + +@article{Xu2005_IJIS, + author = {Xu, Z.S.}, + title = {An overview of methods for determining OWA weights}, + journal = {Int. J. Intelligent Systems}, + volume = {20}, + number = {843-865}, + year = {2005} +} + +@article{Xu2002_IJIS, + author = {Xu, Z.S. and Da, Q.L.}, + title = {The ordered weighted geometric averaging operator}, + journal = {Int. J. Intelligent Systems}, + volume = {17}, + pages = {709-716}, + year = {2002} +} + +@article{Yager1978_FSS, + author = {Yager, R.}, + title = { Fuzzy decision making using unequal objectives}, + journal = {Fuzzy Sets and Systems}, + volume = {1}, + pages = {87-95}, + year = {1978} +} + +@article{Yager1980_FSS, + author = {Yager, R.}, + title = {On a general class of fuzzy connectives}, + journal = {Fuzzy Sets and Systems}, + volume = {4}, + pages = {235-242}, + year = {1980} +} + +@article{Yager1988_tsmc, + author = {Yager, R.}, + title = {On ordered weighted averaging aggregation operators in multicriteria decision making}, + journal = {IEEE Transactions on Systems, Man and Cybernetics}, + volume = {18}, + pages = {183-190}, + year = {1988} +} + +@article{Yager1991_FSS, + author = {Yager, R.}, + title = {Connectives and quantifiers in fuzzy sets}, + journal = {Fuzzy Sets and Systems}, + volume = {40}, + pages = {39-76}, + year = {1991} +} + +@article{Yager1993_fss, + author = {Yager, R.}, + title = {Families of OWA operators}, + journal = {Fuzzy Sets and Systems}, + volume = {59}, + pages = {125-148}, + year = {1993} +} + +@article{Yager1995_IS, + author = {Yager, R.}, + title = {Measures of entropy and fuzziness related to aggregation operators}, + journal = {Inform. Sci.}, + volume = {82}, + pages = {147-166}, + year = {1995} +} + +@article{Yager1996_FSSa, + author = {Yager, R.}, + title = {Constrained {OWA} aggregation}, + journal = {Fuzzy Sets and Systems}, + volume = {81}, + pages = {89-101}, + year = {1996} +} + +@article{Yager1996_IJIS, + author = {Yager, R.}, + title = {Quantifier guided aggregation using OWA operators}, + journal = {Int. J. Intelligent Systems}, + volume = {11}, + pages = {49-73}, + year = {1996} +} + +@article{Yager1996_IJIS, + author = {Yager, R.}, + title = {Quantifier guided aggregation using {OWA} operators}, + journal = {Int. J. Intelligent Systems}, + volume = {11}, + pages = {49-73}, + year = {1996 } +} + +@article{Yager1997_IJIS, + author = {Yager, R.}, + title = {Intelligent agents for World Wide Web advertising decisions}, + journal = {Int. J. Intelligent Systems}, + volume = {12}, + pages = {379-390}, + year = {1997} +} + +@article{Yager1998_IJAR, + author = {Yager, R.}, + title = {Fusion of ordinal information using weighted median aggregation}, + journal = {Int. J. Approx. Reasonin}, + volume = {18}, + pages = {35-52}, + year = {1998} +} + +@article{Yager1998_tfs, + author = {Yager, R.}, + title = {Including importances in OWA aggregations using fuzzy systems modeling}, + journal = {IEEE Transactions on Fuzzy Systems}, + volume = {6}, + pages = {286-294}, + year = {1998} +} + +@article{Yager2001_fss, + author = {Yager, R.}, + title = {Uninorms in fuzzy systems modeling}, + journal = {Fuzzy Sets and Systems}, + volume = {122}, + pages = {167-175}, + year = {2001} +} + +@article{Yager2002_TSMS, + author = {Yager, R.}, + title = {Using Fuzzy Methods to Model Nearest Neighbor Rules}, + journal = {IEEE Trans. on Syst., Man, and Cybernetics}, + volume = {32}, + pages = {512-525}, + year = {2002} +} + +@article{Yager2003_FSS, + author = {Yager, R.}, + title = {Induced aggregation operators}, + journal = {Fuzzy Sets and Systems}, + volume = {137}, + pages = {59-69}, + year = {2003} +} + +@article{Yager2003_TFS, + author = {Yager, R.}, + title = {Noble reinforcement in disjunctive aggregation operators}, + journal = {IEEE Trans. on Fuzzy Syst.}, + volume = {11}, + pages = {754-767}, + year = {2003} +} + +@article{Yager2004_FODM, + author = {Yager, R.}, + title = {Generalized OWA Aggregation operators}, + journal = {Fuzzy Optimization and Decision Making}, + volume = {3}, + pages = {93-107}, + year = {2004} +} + +@article{Yager2004_fss, + author = {Yager, R.}, + title = {On the determination of strength of belief for decision support under uncertainty -- Part II: fusing strengths of belief }, + journal = {Fuzzy Sets & Systems}, + volume = {142}, + pages = {129-142}, + year = {2004} +} + +@article{Yager2004_IJIS, + author = {Yager, R.}, + title = {Weighted triangular norms using generating functions}, + journal = {Int. J. Intelligent Systems}, + volume = {19}, + pages = {217-231}, + year = {2004} +} + +@article{Yager2005_IJIS, + author = {Yager, R.}, + title = {Extending multicriteria decision making by mixing t-norms and {OWA} Operators}, + journal = {Int. J. Intelligent Systems}, + volume = {20 }, + pages = {453-474}, + year = {2005} +} + +@article{Yager2007_SC, + author = {Yager, R.}, + title = {Centered OWA operators}, + journal = {Soft Computing}, + volume = {11}, + pages = {631-639}, + year = {2007} +} + +@article{Yager2007_TFS, + author = {Yager, R.}, + title = {Using Stress Functions to Obtain {OWA} Operators}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {15}, + pages = {1122 -1129}, + year = {2007} +} + +@article{Yager2009_IJGS, + author = {Yager, R.}, + title = {{OWA} aggregation of intuitionistic fuzzy sets}, + journal = {Int. J. General Syst.}, + volume = {38}, + pages = {617-641}, + year = {2009} +} + +@article{BeliakovTFS_2010, + author = {Yager, R. and Beliakov, G.}, + title = {OWA operators in regression problems}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {18}, + pages = {106-113}, + year = {2010} +} + + author = {Yager, R. and Beliakov, G. and James, S.}, + title = {On generalized Bonferroni Means}, + booktitle = {EUROFUSE Workshop Preference Modeling and Decision Analysis}, + address = {Pamplona, Spain}, + year = {2009} +} + +@book{Yager1994_book, + author = {Yager, R. and Filev, D.}, + title = {Essentials of Fuzzy Modelling and Control}, + publisher = {J. Wiley \& Sons}, + address = {New York}, + year = {1994} +} + +@book{Yager1997_book, + author = {Yager, R. and Kacprzyk, J.}, + title = {The ordered weighted averaging operators. Theory and Applications.}, + publisher = {Kluwer}, + address = {Boston}, + year = {1997} +} + + author = {Yager, R. and Kacprzyk, J. and Beliakov, G. }, + title = {Recent Developments in the Ordered Weighted Averaging Operators:Theory and Practice}, + publisher = {Springer}, + address = {Heidelberg, Berlin, New York}, + volume = {in press}, + year = {2011} +} + +@article{Yager1996_fss, + author = {Yager, R. and Rybalov, A.}, + title = {Uninorm aggregation operators}, + journal = {Fuzzy Sets and Systems}, + volume = {80}, + pages = {111-120}, + year = {1996} +} + +@article{Yager1997_IJGS, + author = {Yager, R. and Rybalov, A.}, + title = {Understanding the median as a fusion operator}, + journal = {Int. J. General Syst.}, + volume = {26}, + pages = {239-263}, + year = {1997} +} + +@article{Yager2010_TFS, + author = {Yager, R. R.}, + title = {Norms Induced from {OWA} Operators}, + journal = {IEEE Trans. on Fuzzy Systems}, + volume = {18}, + number = {1}, + pages = {57-66}, + keywords = {functional analysis +fuzzy set theory +mathematical operators +Minkowski norm +OWA +Ordered Weighted Averaging operators +buoyancy property +nonpositive second derivative +weight generating function}, + year = {2010} +} + + author = {Yajima, Y.}, + title = {Positive semidefinite relaxations for distance geometry problems}, + journal = {Japan Journal of Industrial & Applied Mathematics}, + volume = {19}, + number = {1}, + pages = {87-112}, + abstract = {We consider distance geometry problems for determining r-dimensional coordinates of n points from a given set of the distances between the points. This problem is a fundamental problem in molecular biology for finding the structure of proteins from NMR (Nuclear Magnetic Resonance) data. +We formulate the problem as the minimization of an error function defined by the sum of the absolute differences, which is a typical nonconvex optimization problem. We show that this problem can be reduced into a concave quadratic minimization problem. We propose positive semidefinite relaxations as well as local search procedures for this problem. Our numerical results show that we can generate acceptable solutions of the problem with up to 800 points.}, + keywords = {Distance geometry +molecular conformation +positive semidefinite programming}, + year = {2002} +} + +@article{Yamai2002_EMS, + author = {Yamai, Y. and Yoshiba, T. }, + title = {On the validity of Value-at-Risk: Comparative analyses with expected shortfall}, + journal = {Monetary and Economic Studies}, + volume = {20}, + pages = {57-85}, + year = {2002} +} + + author = {Yao, X.}, + title = {Evolving Artificial Neural Networks}, + journal = {Proceedings of the IEEE}, + volume = {87}, + number = {9}, + pages = {1423-1447}, + year = {1999} +} + +@inproceedings{warpsort, + author = {Ye, X. and Fan, D. and Lin, W. and Yuan, N. and Ienne, P.}, + title = {High performance comparison-based sorting algorithm on many-core {GPU}s}, + booktitle = {IEEE International Parallel and Distributed Processing Symposium (IPDPS)}, + publisher = {IEEE Computer Society}, + volume = {http://lap.epfl.ch/webdav/site/lap/shared/publications/YeApr10_HighPerformanceComparisonBasedSortingAlgorithmOnManyCoreGpus_IPDPS10.pdf}, + year = {2010} +} + + author = {Yee, A. and Chang, X. and Pineda-Lucena, A. and Wu, B. and Semesi, A. and Le, B. and Ramelot, T. and Lee, G.M. and Bhattacharyya, S. and Gutierrez, P. and Denisov, A. and Lee, C.H. and Cort, J.R. and Kozlov, G. and Liao, J. and Finak, G. and Chen, L. and Wishart, D. and Lee, W. and McIntosh, L.P. and Gehring, K. and Kennedy, M.A. and Edwards, A.M. and Arrowsmith, C.H.}, + title = {An NMR approach to structural proteomics}, + journal = {Proceedings of the National Academy of Science (USA)}, + volume = {99}, + number = {4}, + pages = {1825-1830}, + abstract = {The influx of genomic sequence information has led to the concept of structural proteomics, the determination of protein structures on a genome-wide scale. Here we describe an approach to structural proteomics of small proteins using NMR spectroscopy. Over 500 small proteins from several organisms were cloned, expressed, purified, and evaluated by NMR. Although there was variability among proteomes, overall 20% of these proteins were found to be readily amenable to NMR structure determination. NMR sample preparation was centralized in one facility, and a distributive approach was used for NMR data collection and analysis. Twelve structures are reported here as part of this approach, which allowed us to infer putative functions for several conserved hypothetical proteins.}, + keywords = {journal +National Academy of Sciences (USA) +nuclear magnetic resonance (NMR) +protein +1H-15N heteronuclear single quantum coherence (HSQC) spectra}, + year = {2002} +} + +@article{Yohai1987_AS, + author = {Yohai, V.J.}, + title = {High breakdown-point and high efficiency robust estimates for regression}, + journal = {Annals of Statistics}, + volume = {15}, + pages = {642-656}, + year = {1987} +} + +@article{Yohai1987, + author = {Yohai, V.J.}, + title = {High Breakdown-Point and High Efficiency Robust Estimates for Regression}, + journal = {The Annals of Statistics}, + volume = {15}, + number = {2}, + pages = { 642-656}, + year = {1987} +} + +@article{Yohai1988_JASA, + author = {Yohai, V.J. and Zamar, R.H.}, + title = {High breakdown-point estimates of regression by means of the minimization of an efficient scale}, + journal = {Journal of the American Statistical Association}, + volume = {83}, + pages = {406-413}, + year = {1988} +} + +@article{Yohai1988, + author = {Yohai, V.J. and Zamar, R.H.}, + title = {High Breakdown-Point Estimates of Regression by Means of the Minimization of an Efficient Scale}, + journal = {Journal of the American Statistical Association}, + volume = {83}, + number = { 402}, + pages = {406-413}, + year = {1988} +} + + author = {Yokokawa, F. and Sameshima, H. and In, Y. and Minoura, K. and Ishida, T. and Shioiri, T.}, + title = {Total synthesis and conformational studies of ceratospongamide, a bioactive cyclic heptapeptide from marine origin}, + journal = {Tetrahedron}, + volume = {58}, + number = {40}, + pages = {8127-8143}, + abstract = {The first total synthesis of cis,cis-ceratospongamide (cyclo[L-Pro-L-Ile-Me-oxazoline-L-Phe-L-Pro-thiazole-L-Phe-]) was accomplished and confirmed by X-ray crystal analysis. The heating of cis,cis-ceratospongamide in DMSO converted it not to the trans,trans isomer but to the trans,trans-[D-allo-Ile]-ceratospongamide, which was confirmed by total synthesis. Its solution conformation was constructed by the dynamic simulated annealing method using ROE cross peaks, revealing a rounded and flat ring structure which is in contrast with the slim and tight structure of cis,cis isomer. The results shows that the trans,trans-[D-allo-Ile] isomer is the main thermal product of cis,cis-ceratospongamide.}, + keywords = {journal +cis,cis-ceratospongamide +trans,trans-[d-allo-ile] ceratospongamide +thermodynamic isomerization +synthesis +conformation +efficient synthesis +distance geometry +organic synthesis +amino acid +didemnin-b +peptide +nuclear magnetic resonance (NMR)}, + year = {2002} +} + + author = {Yoon, J.-M. and Gad, Y. and Wu, Zhijun}, + title = {Mathematical modeling of protein structure using distance geometry}, + institution = {Department of Computational and Applied Mathematics, Rice University}, + number = {Technical Report TR00-24}, + month = {24 July 2000}, + abstract = {The paper reviews methods for structure determination with interatomic distances and explores possible improvement of the methods and ways of combining them with potential energy minimization.}, + keywords = {distance geometry +potential energy surface (PES) +nuclear magnetic resonance (NMR) +singular value decomposition (SVD) +global minimum +global optimization +review}, + year = {2000} +} + +@book{Young2001_book, + author = {Young, D.}, + title = {Computational Chemistry: A Practical Guide for Applying Techniques to Real World Problems}, + publisher = {John Wiley and Sons}, + abstract = {A complete bench-top guide to basic and advanced techniques used to solve real world research problems. + +Thanks to the proliferation of inexpensive, easy-to-use computational chemistry programs, the average laboratory chemist now has access to powerful tools once reserved solely for highly trained specialists. Computational Chemistry was designed specifically to enable chemists to add computational chemistry techniques to their working arsenal. + +This book supplies the expert advice and guidance needed to confidently choose and successfully apply the correct computational chemistry techniques to an array of real world scientific problems. Computational chemist David Young provides clear-cut descriptions and step-by-step instructions for solving technical problems. He explores basic techniques in the field with a focus on their relative strengths and limitations. In addition, Young treats a range of advanced techniques from an easy-to-understand, nonmathematical standpoint, including transition structures, reaction coordinates, reaction rates, convergence problems, QM/MM, solvation, nonlinear optical properties, relativistic effects, mesoscale methods, and more. + +Computational Chemistry features: +- Prioritized lists of methods for attacking difficult computational chemistry problems +- Brief critical reviews of most commercially available software packages, assessing each for its overall effectiveness and practical utility +- A review of the material from the perspective of various chemical systems (such as organic molecules, inorganics, biomolecules, polymers, liquids, or solids)}, + keywords = {quantum mechanics +ab initio quantum calculations +molecular mechanics (MM) +semiempirical theory +quantitative structure-property relationship (QSPR) +quantitative structure-activity relationship (QSAR) +quality control (QC)}, + year = {2001} +} + + author = {Zabinsky, Z. B.}, + title = {Stochastic methods for practical global optimization}, + journal = {Journal of Global Optimization}, + volume = {13}, + number = {4}, + pages = {433-444}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Zabinsky ZB Univ Washington Seattle, WA 98195 USA Univ Washington Seattle, WA 98195 USA 0008 J. Glob. Optim}, + abstract = {Engineering design problems often involve global optimization of functions that are supplied as 'black box' functions. These functions may be nonconvex, nondifferentiable and even discontinuous. In addition, the decision variables may be a combination of discrete and continuous variables. The functions are usually computationally expensive, and may involve finite element methods. An engineering example of this type of problem is to minimize the weight of a structure, while limiting strain to be below a certain threshold. This type of global optimization problem is very difficult to solve, yet design engineers must find some solution to their problem - even if it is a suboptimal one. Sometimes the most difficult part of the problem is finding any feasible solution. Stochastic methods, including sequential random search and simulated annealing, are finding many applications to this type of practical global optimization problem. Improving Hit-and-Run (MR) is a sequential random search method that has been successfully used in several engineering design applications, such as the optimal design of composite structures. A motivation to IHR is discussed as well as several enhancements. The enhancements include allowing both continuous and discrete variables in the problem formulation. This has many practical advantages, because design variables often involve a mixture of continuous and discrete values. IHR and several variations have been applied to the composites design problem. Some of this practical experience is discussed. [References: 38] 38}, + keywords = {Adaptive search. Global optimization. Multi-disciplinary optimization. +Simulated annealing. +Random search techniques. Pure adaptive search. +Engineering Mathematics in Current Contents(R)/Engineering, Computing and +Technology. +1999 week 10 +Reprint available from: Zabinsky ZB. Univ Washington, Seattle, WA 98195, +USA, .}, + year = {1998} +} + +@article{Zabinsky2002_IJCOR, + author = {Zabinsky, Z. B. and Kristinsdottir, B.P. and Smith, R.L.}, + title = {Optimal estimation of univariate black box Lipschitz functions with upper and lower error bounds}, + journal = {Int. J. of Computers and Operations Research}, + year = {2002} +} + + author = {Zabinsky, Z. B. and Wood, G. R. and Steel, M. A. and Baritompa, W. P.}, + title = {Pure Adaptive Search for Finite Global Optimization}, + journal = {Mathematical Programming}, + volume = {69}, + number = {3}, + pages = {443-448}, + note = {Current Contents/Physical, Chemical and Earth Sciences. +Reprint available from: Zabinsky ZB UNIV WASHINGTON IND ENGN PROGRAM FU-20 SEATTLE, WA 98195 USA CENT QUEENSLAND UNIV DEPT MATH and COMP ROCKHAMPTON QLD AUSTRALIA UNIV CANTERBURY DEPT MATH and STAT CHRISTCHURCH 1 NEW ZEALAND 0006}, + abstract = {Pure Adaptive Search is a stochastic algorithm which has been analyzed for continuous global optimization. When a uniform distribution is used in PAS, it has been shown to have complexity which is linear in dimension, We define strong and weak variations of PAS in the setting of finite global optimization and prove analogous results. Ln particular, for the n-dimensional lattice (1,...,k)(n), the expected number of iterations to find the global optimum is linear in n. Many discrete combinatorial optimization problems, although having intractably large domains, have quite small ranges. The strong version of PAS for all problems, and the weak version of PAS for a limited class of problems, has complexity the order of the size of the range. [References: 6] 6}, + keywords = {Global optimization. Discrete optimization. Algorithm complexity. +Random search. Markov chains. +Mathematics. +Reprint available from: Zabinsky ZB. UNIV WASHINGTON, IND ENGN PROGRAM, +FU-20, SEATTLE, WA 98195.}, + year = {1995} +} + +@article{Zadeh1965_ic, + author = {Zadeh, L.}, + title = {Fuzzy sets}, + journal = {Information and Control}, + volume = {8}, + pages = {338-353}, + year = {1965} +} + +@article{Zadeh1975_IS, + author = {Zadeh, L.}, + title = {The concept of a linguistic variable and its application to approximte reasoning. {P}art {I}}, + journal = {Inform. Sci.}, + volume = {8}, + pages = {199-249}, + year = {1975} +} + +@article{Zadeh1975_IS2, + author = {Zadeh, L.}, + title = {The concept of a linguistic variable and its application to approximte reasoning. {P}art {II}}, + journal = {Inform. Sci.}, + volume = {8}, + pages = {301-357}, + year = {1975} +} + +@article{Zadeh1975_IS3, + author = {Zadeh, L.}, + title = {The concept of a linguistic variable and its application to approximte reasoning. {P}art {III}}, + journal = {Inform. Sci.}, + volume = {9}, + pages = {43-80}, + year = {1975} +} + +@article{zadeh-78, + author = {Zadeh, L.}, + title = {Fuzzy sets as a basis for a theory of possibility}, + journal = {Fuzzy Sets and Systems}, + volume = {1}, + pages = {3-28}, + year = {1978 } +} + +@incollection{Zadeh1985, + author = {Zadeh, L.}, + title = {The role of fuzzy logic in the management of uncertainty in expert systems}, + booktitle = {Approximate Reasoning in Expert Systems}, + editor = {Gupta, M.M. and Kandel, A. and Bandler, W. and Kiszka, J.B.}, + publisher = {Elsevier}, + address = {North-Holland}, + year = {1985} +} + + author = {Zarghami, M. and Szidarovszky, F. and Ardakanian, R.}, + title = {Sensitivity analysis of the OWA operator}, + journal = {Ieee Transactions on Systems Man and Cybernetics Part B-Cybernetics}, + volume = {38}, + number = {2}, + pages = {547-552}, + note = {ISI Document Delivery No.: 274VC +Times Cited: 1 +Cited Reference Count: 19 +Zarghami, Mahdi Szidarovszky, Ferenc Ardakanian, Reza +IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC}, + abstract = {The successful design and application of the ordered weighted averaging (OWA) method as a decision-making tool depend on the efficient computation of its order weights. The most popular methods for determining the order weights are the fuzzy linguistic quantifiers approach and the minimal variability method, which give different behavior patterns for the OWA. These two methods will be first analyzed in detail by using sensitivity analysis on the outputs of the OWA with respect to the optimism degree of the decision maker, and then the two methods will be compared. The fuzzy linguistic quantifiers approach gives more information about the behavior of the OWA outputs in comparison to the minimal variability method. However, in using the minimal variability method, the OWA has a linear behavior with respect to the optimism degree, and, therefore, it has better computation efficiency. Since maximizing the combined goodness measure and minimizing its sensitivity to optimism degree are conflicting objectives, a new composite measure of goodness will be defined to have more reliability in obtaining optimal solutions. The theoretical results will be illustrated in a water resources management problem.}, + keywords = {fuzzy linguistic quantifiers +minimal variability method +optimism +degree +ordered weighted averaging (OWA) operator +sensitivity analysis +MULTICRITERIA DECISION-MAKING +MATHEMATICAL-THEORY +WEIGHTS +COMMUNICATION}, + year = {2008} +} + + author = {Zhai, J. H. and Yan, Y. B. and Jin, G. F. and Wu, M. X.}, + title = {Global/Local United Search Algorithm for Global Optimization}, + journal = {Optik}, + volume = {108}, + number = {4}, + pages = {161-164}, + note = {Current Contents/Physical, Chemical and Earth Sciences Current Contents/Engineering, Technology and Applied Sciences +Reprint available from: Zhai JH TSING HUA UNIV DEPT PRECIS INSTRUMENTS BEIJING 100084 PEOPLES REPUBLIC OF CHINA}, + abstract = {A new global optimization method, which embeds the genetic search and simulated annealing concept into the ''hill-climbing'' methods, has been presented for the design of diffractive phase plates. The new algorithm combines the global exploration properties of Genetic/Annealing algorithms and the accurate exploitation power of the ''hill-climbing'' algorithms, resulting in quickly converging to the global optimum. [References: 5]}, + keywords = {Applied physics/condensed matter/materials science. Optics and acoustics.}, + year = {1998} +} + + author = {Zhang, C. and Hou, J.T. and Kim, S.H.}, + title = {Fold prediction of helical proteins using torsion angle dynamics and predicted restraints}, + journal = {Proceedings of the National Academy of Science (USA)}, + volume = {99}, + number = {6}, + pages = {3581-3585}, + abstract = {We describe a procedure for predicting the tertiary folds of a-helical proteins from their primary sequences. The central component of the procedure is a method for predicting interhelical contacts that is based on a helix-packing model. Instead of predicting the individual contacts, our method attempts to identify the entire patch of contacts that involve residues regularly spaced in the sequences. We use this component to glue together two powerful existing methods: a secondary structure prediction program, whose output serves as the input to the contact prediction algorithm, and the tortion angle dynamics program, which uses the predicted tertiary contacts and secondary structural states to assemble three-dimensional structures. In the final step, the procedure uses the initial set of simulated structures to refine the predicted contacts for a new round of structure calculation. When tested against 24 small to medium-sized proteins representing a wide range of helical folds, the completely automated procedure is able to generate native-like models within a limited number of trials consistently.}, + keywords = {journal +National Academy of Sciences (USA) +nuclear magnetic resonance (NMR) +nuclear Overhauser effect (NOE) +distance geometry +molecular dynamics (MD) +constraint}, + year = {2002} +} + + author = {Zhang, X. M. and Chen, Y. Q.}, + title = {Ray-guided global optimization method for training neural networks}, + journal = {Neurocomputing}, + volume = {30}, + number = {1-4}, + pages = {333-337}, + note = {Current Contents(R)/Engineering, Computing and Technology. +Reprint available from: Chen YQ Nanyang Technol Univ, Sch Elect and Elect Engn Block S1 Singapore 639798 Singapore Nanyang Technol Univ, Sch Elect and Elect Engn Singapore 639798 Singapore 0028 Neurocomputing}, + abstract = {A novel method for globally searching to find the good minima is proposed in this paper. Starting from a local minimum, the weight space around it is scanned with the process being guided by terrain-independent emanating rays. During the search, starting points for further exploration are identified and used to find corresponding local minima. Based on the correct classification rate (CCR) on the validation data, the best minimum is found. (C) 2000 Elsevier Science B.V. All rights reserved. [References: 7] 7}, + keywords = {AI, Robotics, and Automatic Control in Current Contents(R)/Engineering, +Computing and Technology. +2000 week 01 +Reprint available from: Chen YQ. Nanyang Technol Univ, Sch Elect and Elect +Engn, Block S1, Singapore 639798, Singapore.}, + year = {2000} +} + + author = {Zhang, Xiang-Sun}, + title = {Neural networks in optimization}, + publisher = {Kluwer Academic Publishers}, + address = {Boston, Mass.}, + series = {Nonconvex optimization and its applications; v. 46.}, + note = {00060537 +by Ziang-Sun Zhang. +Includes bibliographical references and index.}, + keywords = {Mathematical optimization Data processing. +Neural networks (Computer science)}, + year = {2000} +} + + author = {Zhao, H. and Xu, Z. and Ni, M. and Liu, S.}, + title = {Generalized Aggregation Operators for +Intuitionistic Fuzzy Sets}, + journal = {Int. J. Intelligent Syst.}, + volume = {25}, + pages = {1-30}, + year = {2010} +} + +@book{Zimmermann1996_book, + author = {Zimmermann, H.-J.}, + title = {Fuzzy set theory - and its applications}, + publisher = {Kluwer}, + address = {Boston}, + year = {1996} +} + +@article{Zimmermann1980_fss, + author = {Zimmermann, H.-J. and Zysno, P.}, + title = {Latent connectives in human decision making}, + journal = {Fuzzy Sets and Systems}, + volume = {4}, + pages = {37-51}, + year = {1980} +} + +@article{Zioutas2005, + author = {Zioutas, G. and Avramidis, A. and Pitsoulis, L.}, + title = {A Penalized Trimmed Squares Method for Deleting Outliers in Robust Regression}, + abstract = {We consider the problem of identifying multiple outliers in linear regression models. In robust regression the unusual observations should be removed from the sample in order to obtain better fitting for the rest of the observations. Based on the LTS estimate, we propose a penalized trimmed square estimator PTS, where penalty costs for discarding outliers are inserted into the loss function. We search for suitable penalty costs for multiple high-leverage outliers, which are based on robust leverage and scale. Thus, the best fit for the majority of the data is obtained after eliminating only outliers from the data set. The robust estimation is obtained by minimizing the loss function with a mathematical programming technique, computationally suitable for small sample data. The computational load and the effectiveness of the new procedure are improved by using the idea of e-insensitive tube from support vectors machine regression. The PTS loss function is transformed to an e-Insensitive, where small errors are ignored, and the mathematical formula gains the sparseness property. The good performance of the PTS estimator allows identification of multiple outliers avoiding masking or swamping effects. We conduct benchmark examples and a simulation study to investigate the procedure’s efficiency for robust estimation and power as outlier detection. As a result, the performance of both types of PTS is superior to other methods and is worth the extra computational load.}, + year = {2005} +} + + author = {Zou, Mou-Yan and Zou, Xi}, + title = {Global Optimization: An Auxiliary Cost Function Approach}, + journal = {IEEE Transactions on Systems, Man, and Cybernetics--Part A: Systems and Humans}, + volume = {30}, + number = {3}, + pages = {347}, + abstract = {An efficient and practical solution to a class of global function optimization is proposed. The new algorithm consists of a stochastic search of initial guesses and a gradient-based solution-finding algorithm. The key idea is to introduce an auxiliary cost function that can indicate whether the gradient-based solution-finding process goes toward a global minimum of the cost function and that helps us to prevent the process from going to local minima. Simulation examples are used to show the mechanism, power, and restrictions of the approach. +Index Terms--Auxiliary cost function, global optimization, optimization.}, + year = {2000} +} + +@article{Mammadov2008, + author = {Zukerman, M. and Mammadov, M. and Tan, L. and Ouveysi, I. and H., Lachlan A. L.}, + title = {To be fair or efficient or a bit of both}, + journal = {Computers & Operations Research}, + volume = {35}, + number = {12}, + pages = {3787-3806}, + note = {doi: 10.1016/j.cor.2007.02.007}, + keywords = {Non-linear programming +Utility optimization +Fairness +Efficiency-fairness tradeoff +Bandwidth allocation}, + year = {2008} +} diff --git a/BookGPU/Chapters/chapter11/ch11.tex b/BookGPU/Chapters/chapter11/ch11.tex new file mode 100644 index 0000000..8a8d54c --- /dev/null +++ b/BookGPU/Chapters/chapter11/ch11.tex @@ -0,0 +1,486 @@ + +\chapterauthor{Gleb Beliakov}{School of Information Technology, Deakin University, Burwood 3125, Australia} +\chapterauthor{Shaowu Liu}{School of Information Technology, Deakin University, Burwood 3125, Australia} + + +\chapter{Parallel Monotone Spline Interpolation and Approximation on GPUs} + +\section{Introduction} \label{ch11:Introduction} + +Monotonicity preserving interpolation and approximation have received substantial attention in the last thirty years because of their numerous applications in computer aided design, statistics and machine learning \cite{Dierckx1995_book,Kvasov2000_book,deboor2001_book}. Constrained splines are particularly popular because of their flexibility in modelling different geometrical shapes, sound theoretical properties and availability of numerically stable algorithms \cite{Dierckx1995_book,Schumaker1981_book,deboor2001_book}. +% It is surprising though that few parallel spline algorithms are available. +In this work we examine parallelisation and adaptation for GPUs of a few algorithms of monotone spline interpolation and data smoothing, which arose in the context of estimating probability distributions. + +Estimating cumulative probability distribution functions (cdf) from data is quite common in data analysis. In our particular case we faced this problem in the context of partitioning univariate data with the purpose of efficient sorting. It was required to partition large data sets into chunks of approximately equal size, so that these chunks could be sorted independently and subsequently concatenated. In order to do that, empirical cdf of the data was used to find the quantiles, which served to partition the data. Cdf was estimated from the data based on a number of pairs $(x_i,y_i), i=1,\ldots,n$, where $y_i$ was the proportion of data no larger than $x_i$. As data could come from a variety of distributions, a distribution-free nonparametric fitting procedure was required to interpolate the above pairs. Needless to say that the whole process was aimed at GPU, and hence the use of CPU for invoking serial algorithms had to be minimised. + +The above mentioned application is one of many examples (e.g. mass spectrography \cite{Kearsley_2006}, global warming data \cite{Yohai} and so on) where univariate data needs to be fitted by monotonicity preserving interpolants. Of course, cdf is a monotone increasing function, whose inverse, called quantile function, can be used to calculate the quantiles. Spline interpolation would be the most suitable nonparametric method to fit the cdf, except that polynomial splines do not preserve monotonicity of the data, as illustrated on Figure \ref{ch11:fig1}. + +The failure of splines to preserve monotonicity has prompted fundamental research in this area since 1960s. One of the first methods to remedy this problem were splines in tension by Schweikert \cite{Sch}, where a tension parameter controlled the shape of exponential splines \cite{Spath1969}. Later on several monotonicity preserving polynomial spline algorithms were proposed \cite{Schumaker1983,PasRoul1977,AndElf1987,Andersson1991_JAT,McAllister1981_ACM,PasRoul1977}. These algorithms typically rely on introducing additional spline knots between the abscissae of the data. Algorithmic developments are active to this day, see for example \cite{Kvasov2000_book,Abbas2011}. + +When in addition to the pairs $(x_i, y_i)$ the slopes of the function are available, i.e., the data comes in triples $(x_i, y_i, p_i)$, the interpolation problem is called Hermite, and the Hermite splines are used. However, even when the sequence $y_i$ is increasing and the slopes $p_i$ are non-negative, cubic Hermite splines may still fail to be monotone, as illustrated in Figure \ref{ch11:fig2}. Thus monotone Hermite splines are needed \cite{Gregory1982}. + +Another issue with monotone approximation is noisy data. In this case, inaccuracies in the data make the input sequence $y_i$ itself non-monotone, and hence monotone spline interpolation algorithms will fail. Monotone spline smoothing algorithms are available, e.g. \cite{Andersson1991_JAT,Elfving1989_NM}. Such algorithms are based on solving a quadratic (or another convex) programming problem numerically, and have not been yet adapted to parallel processing. + +In this work we examined several monotone spline fitting algorithms, and selected the ones that we believe are most suitable for parallelisation on GPUs. We paid attention to numerical efficiency in terms of numerical calculations and memory access pattern, and favoured one-pass algorithms. We also looked at smoothing noisy data, and developed a parallel version of the Minimum Lower Sets algorithm for isotonic regression problem \cite{Best1990, Robertson_book}. + +The rest of the chapter is organised as follows. Section \ref{ch11:splines} discusses monotone spline interpolation methods and presents two parallel algorithms. Section \ref{ch11:smoothing} deals with smoothing problem. It presents isotonic regression problem and discusses the Pool Adjacent Violators (PAV) and Minimum Lower Sets (MLS) algorithms. Combined with monotone spline interpolation, the parallel MLS method makes it possible to build a monotone spline approximation to noisy data entirely on GPU. Section \ref{ch11:conc} concludes. + +\begin{figure}[h] +\centering +\includegraphics[angle=0,width=8cm]{Chapters/chapter11/gregory1_plot1.pdf} +\caption{Cubic spline (solid) and monotone quadratic spline (dashed) interpolating monotone data from \cite{Gregory1982}. Cubic spline fails to preserve monotonicity of the data.} +\label{ch11:fig1} +\end{figure} + +\begin{figure}[h] +\centering +\includegraphics[angle=00,width=8cm]{Chapters/chapter11/gregory1_plot2_b.pdf} +\caption{Hermite cubic spline (solid) and Hermite rational spline interpolating monotone data from \cite{Gregory1982} with non-negative prescribed slopes. Despite non-negative slopes, Hermite cubic spline is not monotone.} +\label{ch11:fig2} +\end{figure} + +\section{Monotone splines} \label{ch11:splines} + +Splines are piecewise continuous functions very popular in numerical approximation and computer aided design \cite{deboor2001_book,Dierckx1995_book}. An example of a spline is broken line interpolation. Typically polynomial splines are used, and the first (and often second) derivatives of the polynomial pieces are required to match at the knots. The knots of the splines are usually the abscissae of the input data, although this condition is not always required (e.g., splines with free knots \cite{Jupp_1978,Dierckx1995_book,Beliakov2003_amc}). + +Polynomial splines are often represented in the B-spline basis, in which case their coefficients are computed from the input data by solving a banded system of linear equations \cite{Lyche1973, Dierckx1995_book, deboor2001_book}. Tridiagonal systems arise in cubic spline interpolation, while pentadiagonal systems arise in cubic spline smoothing \cite{Lyche1973}. Spline possess important extremal properties \cite{Holladay1957,Lyche1973}, in particular splines of degree $2m-1$ are the most ``smooth" functions that interpolate (or approximate, in the least squares sense) the data. The smoothness term is Tihkonov regularisation functional, the $L_2$ norm of the $m$-th derivative of the interpolant \cite{Lyche1973}. + +When the data are known to come from a monotone function, the interpolant needs to be monotone as well. Even if the sequence of data ordinates $y_i, i=1,\ldots,n$ is non-decreasing, cubic (and higher degree) interpolating splines are not necessarily monotone, an example is shown in Figure \ref{ch11:fig1}. To deal with the problem of extraneous inflection points, Schweikert \cite{Sch} proposed splines in tension, which are piecewise exponential functions. Splines in tension were further explored in \cite{Spath1969, SapKak1988, SapKakLouk1988} and many subsequent works. + +\subsection{Monotone quadratic splines} + +For polynomial splines, monotone or otherwise constrained splines were developed in \cite{Schumaker1983,AndElf1987,Andersson1991_JAT,McAllister1981_ACM,PasRoul1977}. Two monotone quadratic spline algorithms were published in the early 1980s \cite{McAllister1981_ACM, Schumaker1983}. Both algorithms are based on introducing additional interpolation knots under certain conditions, to facilitate preservation of monotonicity of the data. McAllister and Roulier's algorithm \cite{McAllister1981_ACM} introduces at most two extra knots between two neighbouring data, while Schumaker's algorithm \cite{Schumaker1983} introduces only one extra knot. In addition, Schumaker's algorithm is one pass, which is particularly suited for parallelisation, as no system of equations needs to be solved. While parallel tridiagonal linear systems solvers have been developed for GPUs \cite{tridiag_GPU}, the obvious advantage of a one-pass algorithm is the speed. +Because of that, we chose Schumaker's algorithm for GPU parallelisation. + +Let us formally describe Schumaker's algorithm, with Butland's slopes \cite{Butland1980}. +The spline is a piecewise quadratic polynomial in the form +$$ +s(x)=\alpha_i+\beta_i(x-t_i)+\gamma_i(x-t_i)^2, \quad x \in [t_i,t_{i+1}], i=1,\ldots,T, +$$ +where the knot sequence ${t_i}$ is obtained from the data ${x_i}$ by inserting at most one additional knot per subinterval. Let $\delta_i=(y_{i+1}-y_i)/(x_{i+1}-x_i), i=1,\ldots,n-1$. We define Butland's slopes for $i=2,\ldots,n-1$ as +$$ +d_i=\left\{\begin{array}{ll} + \frac{2\delta_{i-1}\delta_i}{\delta_{i-1}+\delta_i}, & \mbox{if } \delta_{i-1}\delta_i>0, \\ + 0 & \mbox{otherwise}. + \end{array} + \right. +$$ +The first and the last Butland's slopes are +$$ +d_1=\left\{\begin{array}{ll} + 2\delta_{1}-d_2, & \mbox{if } \delta_{1}(2\delta_1-d_2)>0, \\ + 0 & \mbox{otherwise}, + \end{array} + \right. \; + d_n=\left\{\begin{array}{ll} + 2\delta_{n-1}-d_{n-1}, & \mbox{if } \delta_{n-1}(2\delta_{n-1}-d_{n-1})>0,\\ + 0 & \mbox{otherwise}. + \end{array} + \right. +$$ + +When $d_i+d_{i+1}=2\delta_i$, then a single quadratic polynomial interpolates the data on $[x_i,x_{i+1}]$ and $t_i=x_i$ $\alpha_i=y_i, \beta_i=d_i, \gamma_i=\frac{d_{i+1}-d_i}{2(x_{i+1}-x_i)}$. otherwise an additional knot $t_i$ is required, and +\begin{eqnarray*} +\alpha_{i}&=&y_{i}, \beta_{i}=d_{i}, \gamma_{i}=\frac{(\bar{d}_{i}-d_{i})}{2(t_{i}-x_{i})}, x\in\left [ x_{i},t_{i} \right ],\\ +\bar{\alpha}_{i}&=&y_{i}+d_{i}(t_{i}-x_{i})+\frac{(\bar{d}_{i}-d_{i})}{2(t_{i}-x_{i})}, \bar{\beta}_{i}=\bar{d}_{i}, \bar{\gamma}_{i}=\frac{(d_{i+1}-\bar{d}_{i})}{2(x_{i+1}-t_{i})}, x\in\left [ t_{i},x_{i+1} \right ], +\end{eqnarray*} +where +$$ +\bar{d}_{i}=(2{\delta}_{i}-d_{i+1})+\frac{(d_{i+1}-d_{i})(t_{i}-x_{i})}{(x_{i+1}-x_{i})}. +$$ + +The position of the additional knot is selected as follows +$$ +t_{i}= +\begin{cases} + x_{i+1}+\frac{(d_{i}-{\delta}_{i})(x_{i+1}-x_{i})}{(d_{i+1}-d_{i})},& \text{ if } (d_{i+1}-{\delta}_{i})(d_{i}-{\delta}_{i})< 0, \\ +\frac{1}{2}(x_{i+1}+x_{i}) & \text{ otherwise. } +\end{cases} +$$ + +It is almost straightforward to parallelise this scheme for GPUs, by processing each subinterval $[x_i,x_{i+1}]$ independently in a separate thread. However, it is not known in advance whether an extra knot $t_i$ needs to be inserted or not, and therefore calculation of the position of the knot in the output sequence of knots ${t_i}$ is problematic for parallel implementation (for a sequential algorithm no such issue arises). To avoid serialisation, we decided to insert an additional knot in every interval $[x_i,x_{i+1}]$, but set $t_i=x_i$ when the extra knot is not actually needed. This way we know in advance the position of the output knots and the length of this sequence is $2(n-1)$, and therefore all calculations can now be performed independently. The price we pay is that some of the spline knots can coincide. However, this does not affect spline evaluation, as one of the coinciding knots is simply disregarded, and the spline coefficients are replicated (so for a double knot $t_i=t_{i+1}$, we have $\alpha_i=\alpha_{i+1}$, $\beta_i=\beta_{i+1}$, $\gamma_i=\gamma_{i+1}$). Our implementation is presented in Figures \ref{ch11:algcoef}-\ref{ch11:algcoef1}. + +At the spline evaluation stage we need to compute $s(z_k)$ for a sequence of query values ${z_k}, k=1,\ldots,K$. For each $z_k$ we locate the interval $[t_i,t_{i+1}]$ containing $z_k$, using bisection algorithm presented in Figure \ref{ch11:algeval}, and then apply the appropriate coefficients of the quadratic function. This is also done in parallel. +The bisection algorithm could be implemented using texture memory (to cache the array \texttt{z}), but this is not shown in Figure \ref{ch11:algeval}. + +\begin{figure}[!hp] +\renewcommand{\baselinestretch}{1} + \begin{alltt} +\begin{center} +\begin{minipage}{13cm}\small + +template +\_\_global\_\_ void CalculateCoefficientsKnots( Tx *u, Ty *v, double *b, double *c, + double *t, double *alpha, double *beta, double *gamma, int N ) +\{ + int tid = threadIdx.x + blockIdx.x * blockDim.x; + int s = tid*2; + while(tid<=(N-2)) + \{ + // decide whether an additional knot is necessary + if(fabs(c[tid]+c[tid+1]- 2*b[tid])<=0.1e-5) // tolerance + \{ //no additional knot + h[s]=h[s+1]=u[tid]; + alpha[s]=alpha[s+1]=v[tid]; + beta[s]=beta[s+1]=c[tid]; + gamma[s]=gamma[s+1]=(c[tid+1]-c[tid])/(2*(fmax(1e-10,u[tid+1]-u[tid]))); + \} else \{ //adding a knot + h[s]=u[tid]; + //determine the position of the knot + if((c[tid+1] - b[tid])*(c[tid] - b[tid])<0) + h[s+1]=u[tid+1] + (c[tid] - b[tid])*(fmax(1e-10,u[tid+1]-u[tid]))/ + fmax(1e-10,(c[tid+1] - c[tid])); + else + h[s+1]=0.5*(u[tid+1] + u[tid]); + //calculate coefficients + double dtemp = (2*b[tid] - c[tid+1])+((c[tid+1] - c[tid])*(h[s+1] - u[tid]))/ + fmax(1e-10,(u[tid+1] - u[tid])); + alpha[s]=v[tid]; beta[s]=c[tid]; + gamma[s]=(dtemp - c[tid])/(2*fmax(1e-10,(h[s+1] - u[tid]))); + alpha[s+1]=v[tid] + c[tid]*(h[s+1] - u[tid]) + + (dtemp - c[tid])*(h[s+1] - u[tid])/2; + gamma[s+1]=(c[tid+1] - dtemp)/(2*fmax(1e-10,(u[tid+1] - h[s+1]))); + beta[s+1]=dtemp; + \} + tid += blockDim.x * gridDim.x; s = tid*2; + \} + \_\_syncthreads(); + // Select a single thread to perform the last operation + if((threadIdx.x ) == 0) \{ + s = (N-1) * 2; h[s]=u[N-1]; + \} + \_\_syncthreads(); +\} +\end{minipage} +\end{center} +\end{alltt} +\caption{Implementation of the kernel for calcuating spline knots and coefficients. Function fmax is used to avoid division by zero for data with coinciding abscissae.} +\label{ch11:algcoef} +\renewcommand{\baselinestretch}{2} +\end{figure} + +\begin{figure}[!hp] +\renewcommand{\baselinestretch}{1} + \begin{alltt} +\begin{center} +\begin{minipage}{13cm}\small + +template +\_\_global\_\_ void CalculateBeta(Tx *u, Ty *v, double *b, int N) +\{ + int tid = threadIdx.x + blockIdx.x * blockDim.x; + while(tid<=(N-2)) \{ + b[tid]=(v[tid+1]-v[tid])/fmax(1e-20,double(u[tid+1]-u[tid])); + tid += blockDim.x * gridDim.x; + \} + \_\_syncthreads(); +\} +\_\_global\_\_ void CalculateDGeneral( double *b, double *c, int N) +\{ + int tid = threadIdx.x + blockIdx.x * blockDim.x; + while(tid<=(N-2)) \{ + if((b[tid-1]*b[tid])<=0) c[tid]=0; + else c[tid]=(2*b[tid-1]*b[tid])/(b[tid-1]+b[tid]); + \} + tid += blockDim.x * gridDim.x; + \} + \_\_syncthreads(); +\} +\_\_global\_\_ void CalculateD( double *b, double *c, int N ) +\{ + if((b[0]*(2*b[0]-c[1]))<=0) c[0]=0; + else c[0]=2*b[0] - c[1]; + if((b[N-2]*(2*b[N-2]-c[N-2]))<=0) c[N-1]=0; + else c[N-1]=2*b[N-2] - c[N-2]; + \_\_syncthreads(); +\} +template +int BuildMonotonSpline(Tx *d_X, Ty *d_Y, int N, + double *t, double *alpha, double *beta, double *gamma) +\{ + int T = (N-1)*2+1; // length of the output array + double *b, *c; // temp variables + cudaMalloc( (void**)&b, 1*N*sizeof(double) ); + cudaMalloc( (void**)&c, 2*N*sizeof(double) ); + int threads=256; + int blocks = (N-1)/threads + 1; + CalculateBeta<<>>(d_X,d_Y,b,N); + CalculateDGeneral<<>>(b,c,N); + CalculateD<<<1,1>>>(b,c,NN); // calculate d_1 and d_N + CalculateCoefficientsKnots<<>>(d_X, + d_Y,b,c,h,alpha,beta,gamma,N); + cudaFree(b); cudaFree(c); + return T; +\} +\end{minipage} +\end{center} +\end{alltt} +\caption{Calculation of monotone spline knots and coefficients.} +\label{ch11:algcoef1} +\renewcommand{\baselinestretch}{2} +\end{figure} + +\begin{figure}[!hp] +\renewcommand{\baselinestretch}{1} + \begin{alltt} +\begin{center} +\begin{minipage}{13cm}\small + +template +\_\_device\_\_ void Bisection\_device(T z, T* t, int mi, int ma, int* l) +\{ + int i; ma--; + while(1) \{ + i=(mi+ma)/2; + if(z >= t[i]) mi=i+1; + else ma=i; + if(mi>=ma) break; + \} + *l = mi-1; +\} + +/* Kernel to evaluates monotone spline for a sequence of query points + residing in the array z of size m +*/ +template +\_\_global\_\_ void d\_MonSplineValue(Tx* z, int K, double* t, + double * alpha, double * beta, double * gamma, int T, Ty *value) +\{ + int tid = threadIdx.x + blockIdx.x * blockDim.x; + int mi=0, ma=T, i=0; + Ty r; + while(tid +void MonotoneSplineValue(Tx *z, int K, double* t, + double * alpha, double * beta, double * gamma, int T, Ty* result) +\{ + int blocks,threads=256; + blocks=(K-1)/threads+1; + d\_MonSplineValue<<>>(z,K,t,alpha,beta,gamma,T,result); +\} +\end{minipage} +\end{center} +\end{alltt} +\caption{Implementation of the spline evaluation algorithm for GPU.} +\label{ch11:algeval} +\renewcommand{\baselinestretch}{2} +\end{figure} + + + +\subsection{Monotone Hermite splines} + +In this section, in addition to the points $(x_i,y_i)$ we have the slopes $p_i$, and hence we consider monotone Hermite interpolation. In our motivating application of cdf estimation, the values $p_i$ are easily obtained together with $y_i$, and their use may help to build a more accurate interpolant. +Of course, for monotone non-decreasing functions we must have $p_i\geq 0$. However this does not guarantee that the spline interpolant is monotone, as can be seen in Figure \ref{ch11:fig2}. Fritsch and Carlson \cite{Fritsch1980} show that non-negative $p_i$ is not a sufficient condition to guarantee monotonicity, and design a process for modification of derivatives, so that the necessary and sufficient conditions for monotonicity of a piecewise cubic are met. Hence the values $p_i$ are not matched exactly. In contrast, Gregory and Delbourgo \cite{Gregory1982} design piecewise rational quadratic spline, for which the non-negativity of $p_i$ is both necessary and sufficient condition. + +The rational quadratic spline in \cite{Gregory1982} is constructed as +$$ +s(x)=\left\{ \begin{array}{ll} + \frac{P_i(\theta)}{Q_i(\theta)}, & \mbox{if } \Delta_{i}\neq 0, \\ + y_i & \mbox{otherwise}, + \end{array} + \right. +$$ +where +$$ +\theta=(x-x_i)/(x_{i+1}-x_i), \quad \Delta_i=(y_{i+1}-y_i)/(x_{i+1}-x_i), +$$ +and +$$ +P_i(\theta)/Q_i(\theta)=y_i+\frac{(y_{i+1}-y_i)[\Delta_i \theta^2+p_i \theta (1-\theta)]}{\Delta_i+(p_{i+1}+p_i-2\Delta_i)\theta(1-\theta)}. +$$ + +This rational spline is continuously differentiable and interpolates both the values $y_i$ and the derivatives $p_i$. Its derivative is given by +$$ +s'(x)=\Delta_i^2[p_{i+1}\theta^2+2\Delta_i \theta(1-\theta)+p_i (1-\theta)^2]/Q_i(\theta)^2, +$$ +with +$$ +Q_i(\theta)= \Delta_i+(p_{i+1}+p_i-2\Delta_i)\theta(1-\theta), +$$ +provided $\Delta_i \neq 0$ ( $s'(x)=0$ otherwise), and this expression is non-negative. + +It is clear that Gregory and Delbourgo's Hermite interpolant is trivially parallel, and the parameters $h_i=x_{i+1}-x_i$ and $\Delta_i$ are easily computed in a simple kernel. Evaluation of the spline and its derivative is accomplished by locating the interval containing the query point $x$ using bisection, as in Figure \ref{ch11:algeval}, and applying the above mentioned formulas. + + +\section{Smoothing noisy data via parallel isotone regression} \label{ch11:smoothing} + +Inaccuracies in the data are common in practice, and need to be accounted for during spline approximation process. Smoothing polynomial splines were presented in \cite{Lyche1973}, where the data are fitted in the least squares sense while also minimising the $L_2$ norm of the $m-$th derivative of the spline. Monotone smoothing splines were dealt with in several works, in particular we mention \cite{Andersson1991_JAT,Elfving1989_NM}. The presented algorithms rely on solving quadratic programming problems. Monotone approximating splines with fixed knots distinct form the data have been presented in \cite{Beliakov2000_ata}, where an instance of a quadrating programming problem is solved as well. + +Another approach consists in monotonising the data, so that the sequence $y_i$ becomes monotone. This approach is known as isotone regression \cite{Best1990, Robertson_book}. It is different from monotone spline smoothing, as the regularisation term controlling the $L_2$ norm of the $m-$the derivative is not taken into account. Usually the data is monotonised by minimising the squared differences to the inputs. It becomes a quadratic programming problem, usually solved by active sets methods \cite{Best1990}. +A popular PAV algorithm (PAVA) is one method that provides efficient numerical solution. + + PAVA consists of the following steps. The sequence ${y_i}$ is processed form the start. If violation of monotonicity $y_i>y_{i+1}$ is found, both values $y_i$ and $y_{i+1}$ are replaced with their average $y'_i$, and both values form a block. Since the new value $y'_i$ is smaller than $y_i$, monotonicity may become violated with respect to the datum $y_{i-1}$. If this is the case, the $i-1$st, $i$th and $i+1$st data are merged into a block and their values are replaced with their average. We continue back-average as needed to get monotonicity. + +Various serial implementations of the PAVA exist. It is noted \cite{Kearsley_2006} that in PAVA, which is based on the ideas from convex analysis, a decomposition theorem holds, namely performing PAVA separately on two contiguous subsets of data, and then performing PAVA on the result produces isotonic regression on the whole data set. Thus isotonic regression is parallelisable, and divide-and-conquer approach, decomposing the original problem into two smaller subproblems, can be implemented on multiple processors. However, to our knowledge, no parallel PAVA for many-core systems such as GPUs exist. + +Another approach to isotonic regression is called the Minimum Lower Sets algorithm (MLS) \cite{Best1990, Robertson_book}. It provides the same solution as the PAVA, but works differently. For each datum (or block), MLS selects the largest contiguous block of subsequent data with the smallest average. If this average is smaller than that of the preceding block, the blocks are merged, and the data in the block are replaced with their average. MLS is also an active set method \cite{Best1990}, but its complexity is $O(n^2)$ as opposed to $O(n)$ of the PAVA, and of another active set algorithm proposed in \cite{Best1990} under the name Algorithm A. + +In terms of GPU parallelisation, neither PAVA nor Algorithm A appear to be suitable, as the techniques that achieve $O(n)$ complexity are inheritably serial. +In this work we focused on parallelising MLS. First, we precompute the values +$$ +z_i=\sum_{j=i}^n y_i +$$ +and $z_{n+1}=0$ +using parallel partial sum algorithm (\texttt{scan} algorithm from Thrust \cite{Thrust} library). +From these values we can compute the averages of the blocks of data with the indices $\{i,i+1,\ldots,j\}$ +\begin{equation} \label{ch11:eq1} +P_{ij}=\frac{1}{j-i+1}\sum_{k=i}^j y_k = \frac{1}{j-i+1} (z_i-z_{j+1}) +\end{equation} + +As per MLS algorithm, for each fixed $i$ from 1 to $n$ we compute the smallest $P_{ij}$ starting from $j=i+1$ and fix the index $j^*$. If $y_i>P_{ij^*}$, we replace the values $y_i,\ldots,y_{j^*}$ with their average $P_{ij^*}$ otherwise we keep the value $y_i$. In case of replacement, we advance $i$ to position $j^*+1$. We check the condition $y_i>P_{i,j^*}$ to form a block, which is equivalent to $y_i>P_{i+1,j^*}$ as $P_{ij}=\frac{1}{j-i+1}((j-i) P_{i+1,j}+y_i)$, from which we deduce both inequalities hold simultaneously. + +%Also we note that $y_{j^*}\leq P_{ij^*}$, which means we + +%First let us see that the above algorithm computes the same output as PAVA, and then look at its parallelisation. Note that $y_i\leq P_{ij} \leq P_{ik}, k=i+1,\ldots,n$, implies $y_i\leq y_k, k=i+1,\ldots,n$ and hence $y_i$ does not violate monotonicity with respect to neither the data $y_k$ nor their potential averages (at the back-averaging step), and hence needs no replacement. Then, consider step $j$ of the PAVA. It back-averages the values $y_k, k=j, j-1,\ldots, i$, for which $y_i>P_{i+1,j}$, and replaces them with $P_{i,j}$. This is exactly what we do in our algorithm, although we invoke this replacement from $i$, not $j$. + + + +%Finally, in PAVA the value $y_k, i \leq k\leq j$ can be replaced several times at different back-averaging steps, the latest being $P_{ij}$ corresponding to the smallest $i$ for which $y_i>P_{i+1,j}$. In our version we start with the smallest $i$, and replace $y_k$ only once, and then advance to position $j$, so they are not overwritten. Therefore, our algorithm performs the same replacements as PAVA but in a different order, and the outputs are the same. Below we show that the order does not really matter if we perform replacements with the max operation. + + +Now the presented algorithm can be parallelised for GPUs: each datum $y_i$ is treated in its own thread. Calculation of the smallest $P_{ij}$ is performed serially within the $i$-th thread, or in parallel, by starting children threads. +Replacing the values $y_i,\ldots,y_{j^*}$ with $P_{ij^*}$ leads to potential clashes, as several threads can perform this operation on the same elements $y_k$. This can be circumvented by using max operation, i.e., $y_k\leftarrow \max(y_k,P_{ij})$. Note that thread $i$ replaces the value $y_k$, $k\geq i$ if $P_{ij}10^4$. While it is possible to transfer data from GPU to CPU and run PAVA there, it is warranted only for sufficiently large data $n\geq 5 \times 10^5$ , for otherwise the data transfer overheads will dominate CPU time. For smaller $n$, isotone regression is best performed on GPU. + +We also see that the use of GPU accelerated MLS by a factor of at least 100. The cost of serial MLS is prohibitive for $n>10^6$. + +We should mention that not all isotone regression problems allow a PAV-like algorithm linear in time. When the data may contain large outliers, monotonizing the data is better done not in the least squares sense, but using other cost functionals, such as by minimizing the sum of absolute deviations \cite{Wang} or using M-estimators \cite{Yohai}, which are less sensitive to outliers. It is interesting than in all such cases the solution to isotone regression problem can be found by solving maximin problem +$$ +u_i=\max_{k\leq i} \min_{l \geq i} \hat y(k,l), +$$ +with $\hat y(k,l)$ being the unrestricted maximum likelihood estimator of $y_k\ldots,y_l$. For quadratic cost function $\hat y(k,l)$ is the mean, as in PAV and MLS algorithms, for the absolute deviations it becomes the median, and for other cost functions an M-estimator of location. The MLS algorithm can be applied to such isotone regression problems with very little modification, while linear in time algorithm may not be available. Our parallel MLS algorithm will be valuable in such cases. + +%\renewcommand{\baselinestretch}{1} +\begin{table}[!h] +\begin{center} +\caption{The average CPU time (sec) of the serial PAVA, MLS and parallel MLS algorithms. } \label{ch11:table1} +\begin{tabular}{|r|r|r|r|} + +Data & PAVA & MLS & GPU MLS \\ \hline + +monotone increasing $f$ & & & \\ +$n=5\times 10^4$ &0.01&5& 0.092\\ +$n=10^5$ &0.03&40& 0.35\\ +$n=5\times 10^5$ &0.4&1001&8.6 \\ +$n=10^6$ &0.8& 5000& 38 \\ +$n=2 \times 10^6$ & 1.6 &-- &152 \\ +$n=10 \times 10^6$ & 2 &-- & 3500 \\ +$n=20 \times 10^6$ & 4.5&-- & --\\ +$n=50 \times 10^6$ & 12 &-- & --\\ +\hline + +constant or decreasing $f$ & & & \\ +$n=10^6$ &0.2&0.1& 38\\ +$n=10 \times 10^6$ &1.9& 1.9& 3500 \\ +$n=20 \times 10^6$ &3.5& 4.0&-- \\ +$n=50 \times 10^6$ &11& 11& -- \\ + +\end{tabular} +\end{center} +\end{table} +%\renewcommand{\baselinestretch}{2} + + +\begin{figure}[!hp] + \begin{alltt} +\begin{center} +\begin{minipage}{13cm}\small +template +__device__ Tx Aver(Tx z,int i,int j, Tx *z) \{return (z-z[j+1])/(j-i+1);\} + +template +__global__ void monotonizekernel(Tx *y, Tx *z, Tx *u, int *key, int n) +\{ int i = threadIdx.x + blockIdx.x * blockDim.x; + if(icurP) \{ + smallestJ = j; + smallestP = curP; + \} + \} + curP=y[i]; + if(curP > smallestP) t=smallestP; + else smallestJ=i; + key[i]=smallestJ; + u[i]=t; + \} +\} + +template< typename Tx > +void MonotonizeData(Tx *y, int n, Tx *u) \{ + thrust::less_equal binary_pred; + thrust::maximum binary_op2; + thrust::device_vector z_d(n+1); + thrust::device_vector keys_d(n); + thrust::device_ptr y_d(y), u_d(u); + thrust::fill(u_d, u_d+n, -1e100); + thrust::fill(keys_d.begin(), keys_d.end(), 0); + + thrust::reverse_iterator< typename thrust::device_vector::iterator > + y_reverse_b(y_d+n), y_reverse_end(y_d), z_reverse_b(z_d.end()); + + thrust::inclusive_scan(y_reverse_b, y_reverse_end, z_reverse_b+1); + + monotonizekernel<<>>(y, thrust::raw_pointer_cast(&z_d[0]), + u, thrust::raw_pointer_cast(&keys_d[0]), n ); + + thrust::sort(keys_d.begin(), keys_d.end()); + thrust::inclusive_scan_by_key(keys_d.begin(), keys_d.end(), + u_d, u_d, binary_pred, binary_op2); +\} +\end{minipage} +\end{center} +\end{alltt} +\caption{Fragments of implementation of a parallel version of the MLS algorithm using Thrust library.} +\label{ch11:algMLS} +\end{figure} + +\section{Conclusion} \label{ch11:conc} + +We presented three GPU-based parallel algorithms for approximating monotone data: monotone quadratic spline, monotone Hermite rational spline and minimum lower sets algorithm for monotonizing noisy data. These tools are valuable in a number of applications that involve large data sets modeled by monotone nonlinear functions. +The source code of the package monospline is available from \texttt{www.deakin.edu.au/$\sim$ gleb/monospline.html } + +\putbib[Chapters/chapter11/biblio11] diff --git a/BookGPU/Chapters/chapter11/gregory1_plot1.pdf b/BookGPU/Chapters/chapter11/gregory1_plot1.pdf new file mode 100644 index 0000000..92fe92b Binary files /dev/null and b/BookGPU/Chapters/chapter11/gregory1_plot1.pdf differ diff --git a/BookGPU/Chapters/chapter11/gregory1_plot2_b.pdf b/BookGPU/Chapters/chapter11/gregory1_plot2_b.pdf new file mode 100644 index 0000000..55147a1 Binary files /dev/null and b/BookGPU/Chapters/chapter11/gregory1_plot2_b.pdf differ diff --git a/BookGPU/Makefile b/BookGPU/Makefile index a1e80b8..7bdac7b 100644 --- a/BookGPU/Makefile +++ b/BookGPU/Makefile @@ -4,8 +4,9 @@ BOOK=BookGPU all: pdflatex ${BOOK} pdflatex ${BOOK} - bibtex bu1 bibtex bu2 + bibtex bu3 + bibtex bu4 makeindex ${BOOK}.idx pdflatex ${BOOK} pdflatex ${BOOK}