\documentclass{llncs} 
%\usepackage{latex8}
%\usepackage{times}
%\documentclass[a4paper,11pt]{article}
%\usepackage{fullpage}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{graphicx,subfigure,graphics}
\usepackage{epsfig}
%\usepackage[usenames]{color}
%\usepackage{latexsym,stmaryrd}
%\usepackage{amsfonts,amssymb}
\usepackage{verbatim,theorem,moreverb}
%\usepackage{float,floatflt}
\usepackage{boxedminipage}
\usepackage{url}
%\usepackage{psfig}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{algorithm}
\usepackage{algorithmic}
%\usepackage{floatfig}
%\usepackage{picins}



\def\sfixme#1{\fbox{\textbf{FIXME: }#1}}
 
\newcommand{\fixme}[1]{%
  \begin{center}
    \begin{boxedminipage}{.8\linewidth}
      \textsl{{\bf #1}}
    \end{boxedminipage}
  \end{center}
}
\newcommand{\FIXME}[1]{\marginpar[\null\hspace{2cm} FIXME]{FIXME} \fixme{#1}}

%\psfigurepath{.:fig:IMAGES}  
\graphicspath{{.}{fig/}{IMAGES/}}

%\initfloatingfigs

\begin{document}

\title{Gridification of a Radiotherapy Dose Computation Application with the XtremWeb-CH Environment}


\author{Nabil Abdennhader\inst{1} \and Mohamed Ben Belgacem\inst{1} \and Raphaël Couturier\inst{2} \and
  David Laiymani\inst{2} \and Sébastien  Miquée\inst{2} \and Marko Niinimaki\inst{1} \and Marc Sauget\inst{3}}

\institute{
University of Applied Sciences Western Switzerland, hepia Geneva,
Switzerland \\
\email{nabil.abdennadher@hesge.ch,mohamed.benbelgacem@unige.ch,markopekka.niinimaeki@hesge.ch}
\and
Laboratoire d'Informatique de l'universit\'{e}
  de Franche-Comt\'{e} \\
  IUT Belfort-Montbéliard, Rue Engel Gros, 90016 Belfort - France \\
\email{\{raphael.couturier,david.laiymani,sebastien.miquee\}@univ-fcomte.fr}
\and
 FEMTO-ST, ENISYS/IRMA, F-25210 Montb\'{e}liard , FRANCE\\
\email{marc.sauget@univ-fcomte.fr}
}


\maketitle

\begin{abstract} 
  This paper presents the design and the evaluation of the
  gridification of a radiotherapy dose computation application. Due to
  the inherent characteristics of the application and its execution,
  we choose the architectural context of global (or volunteer)
  computing.  For this, we used the XtremWeb-CH
  environment. Experiments were conducted on a real global computing
  testbed and show good speed-ups and very acceptable platform
  overhead letting XtremWeb-CH be a good candidate for deploying
  parallel applications over a global computing environment.
\end{abstract}


%-------------INTRODUCTION--------------------
\section{Introduction}

The use of distributed architectures for solving large scientific
problems seems to become mandatory in a lot of cases. For example, in
the domain of radiotherapy dose computation the problem is
crucial. The main goal of external beam radiotherapy is the treatment
of tumors while minimizing exposure to healthy tissue. Dosimetric
planning has to be carried out in order to optimize the dose
distribution within the patient. Thus, to determine the most accurate
dose distribution during treatment planning, a compromise must be
found between the precision and the speed of calculation. Current
techniques, using analytic methods, models and databases, are rapid
but lack precision. Enhanced precision can be achieved by using
calculation codes based, for example, on Monte Carlo methods. The main
drawback of these methods is their computation times which can be
rapidly huge. In \cite{NIMB2008} the authors proposed a novel approach, called
Neurad, using neural networks. This approach is based on the
collaboration of computation codes and multi-layer neural networks
used as universal approximators. It provides a fast and accurate
evaluation of radiation doses in any given environment for given
irradiation parameters. As the learning step is often very time
consuming, in \cite{AES2009} the authors proposed a parallel
algorithm that enables to decompose the learning domain into
subdomains. The decomposition has the advantage to significantly
reduce the complexity of the target functions to approximate.

Now, as there exist several classes of distributed/parallel
architectures (supercomputers, clusters, global computing...)  we have
to choose the best suited one for the parallel Neurad application.
The Global or Volunteer Computing model seems to be an interesting
approach. Here, the computing power is obtained by aggregating unused
(or volunteer) public resources connected to the Internet. For our
case, we can imagine for example, that a part of the architecture will
be composed of some of the different computers of the hospital. This
approach presents the advantage to be clearly cheaper than a more
dedicated approach like the use of supercomputers or clusters.

The aim of this paper is to propose and evaluate a gridification of
the Neurad application (more precisely, of the most time consuming
part, the learning step) using a Global Computing approach. For this,
we focus on the XtremWeb-CH environment\cite{}. We choose this environment
because it tackles the centralized aspect of other global computing
environments such as XtremWeb\cite{} or Seti\cite{}. It tends to a
peer-to-peer approach by distributing some components of the
architecture. For instance, the computing nodes are allowed to
directly communicate. Experiments were conducted on a real Global
Computing testbed. The results are very encouraging. They exhibit an
interesting speed-up and show that the overhead induced by the use of
XtremWeb-CH is very acceptable.

The paper is organized as follows. In Section 2 we present the Neurad
application and particularly its most time consuming part, i.e. the
learning step. Section 3 details the XtremWeb-CH environment and
Section 4 exposes the gridification of the Neurad
application. Experimental results are presented in Section 5 and we
end in Section 6 by some concluding remarks and perspectives.

\section{The Neurad application}

\begin{figure}[http]
  \centering
  \includegraphics[width=0.7\columnwidth]{figures/neurad.pdf}
  \caption{The Neurad project}
  \label{f_neurad}
\end{figure}

The \emph{Neurad}~\cite{Neurad} project presented in this paper takes place in a
multi-disciplinary project, involving medical physicists and computer scientists
whose goal is to enhance the  treatment planning of cancerous tumors by external
radiotherapy.   In our  previous works~\cite{RADIO09,ICANN10,NIMB2008},  we have
proposed  an  original approach  to  solve  scientific  problems whose  accurate
modeling and/or  analytical description are  difficult. That method is  based on
the collaboration of  computational codes and neural networks  used as universal
interpolator. Thanks to that method,  the \emph{Neurad} software provides a fast
and accurate  evaluation of radiation  doses in any given  environment (possibly
inhomogeneous) for  given irradiation  parameters. We have  shown in  a previous
work (\cite{AES2009}) the interest to use a distributed algorithm for the neural
network learning. We  use a classical RPROP~\footnote{Resilient backpropagation}
algorithm with a  HPU~\footnote{High order processing units} topology  to do the
training of our neural network.

Figure~\ref{f_neurad} presents the {\it{Neurad}} scheme. Three parts are clearly
independent:  the initial  data production,  the learning  process and  the dose
deposit  evaluation. The  first step,  the data  production, is  outside  of the
{\it{Neurad}}  project.  They  are  many  solutions to  obtain  data  about  the
radiotherapy treatments like  the measure or the simulation.  The only essential
criterion is that the result must be obtained in an homogeneous environment.

% We have chosen to
% use only a Monte Carlo simulation because this kind of tool is the
% reference in the radiotherapy domains. The advantages to use data
% obtained with a Monte Carlo simulator are the following: accuracy,
% profusion, quantified error and regularity of measure points. But,
% there exist also some disagreements and the most important is the
% statistical noise, forcing a data post treatment. Figure~\ref{f_tray}
% presents the general behavior of a dose deposit in water.


% \begin{figure}[http]
%   \centering
%   \includegraphics[width=0.7\columnwidth]{figures/testC.pdf}
%   \caption{Dose deposit by a photon beam  of 24 mm of width in water (normalized value).}
%   \label{f_tray}
% \end{figure}

The secondary stage  of the {\it{Neurad}} project is the  learning step and this
is  the most time  consuming step.  This step  is performed  off-line but  it is
important to  reduce the time used for  the learning process to  keep a workable
tool. Indeed, if the learning time is  too huge (for the moment, this time could
reach one week for a limited domain), this process should not be launched at any
time,  but only  when a  major modification  occurs in  the environment,  like a
change  of  context for  instance.  However, it  is  interesting  to update  the
knowledge of the neural network, by  using the learning process, when the domain
evolves (evolution in material used for  the prosthesis or evolution on the beam
(size, shape or energy)). The learning time is related to the volume of data who
could be  very important in  a real  medical context.  A  work has been  done to
reduce this  learning time with the  parallelization of the  learning process by
using a partitioning method of the global dataset. The goal of this method is to
train  many neural networks  on sub-domains  of the  global dataset.  After this
training,  the use  of these  neural networks  all together  allows to  obtain a
response for the global domain of study.


\begin{figure}[h]
  \centering
  \includegraphics[width=0.5\columnwidth]{figures/overlap.pdf}
  \caption{Overlapping for a sub-network  in a two-dimensional domain with ratio
    $\alpha$}
  \label{fig:overlap}
\end{figure}

% j'ai relu mais pas vu le probleme 
 
However, performing the learning on  sub-domains constituting a partition of the
initial domain is  not satisfying according to the quality  of the results. This
comes from the fact that the accuracy of the approximation performed by a neural
network is not constant over the learned domain. Thus, it is necessary to use an
overlapping  of   the  sub-domains.  The   overall  principle  is   depicted  in
Figure~\ref{fig:overlap}.  In this  way,  each sub-network  has an  exploitation
domain  smaller than its  training domain  and the  differences observed  at the
borders  are  no  longer  relevant.   Nonetheless,  in  order  to  preserve  the
performance  of the parallel  algorithm, it  is important  to carefully  set the
overlapping  ratio $\alpha$.  It  must be  large  enough to  avoid the  border's
errors,  and as  small  as  possible to  limit  the size  increase  of the  data
subsets~\cite{AES2009}.

%(Qu'en est-il pour nos test ?).
% Ce paramètre a deja été etudié dans un précédent papier, il a donc choisi d'être fixe
% pour ces tests-ci.


\section{The XtremWeb-CH environment}
\input{xwch.tex}

\section{The Neurad gridification}

\label{sec:neurad_gridif}


As previously exposed, the Neurad application can be divided into
three steps.  The goal of the first step is to decompose the data
representing the dose distribution on an area. This area contains
various parameters, like the nature of the medium and its
density. This part is out of the scope of this paper.
%Multiple ``views'' can be
%superposed in order to obtain a more accurate learning. 

The second step of the application, and the most time consuming, is
the learning itself. This is the one which has been parallelized,
using the XWCH environment. As exposed in the section 2, the
parallelization relies on a partitionning of the global
dataset. Following this partitionning all learning tasks are executed
in parallel independently with their own local data part, with no
communication, following the fork/join model. Clearly, this
computation fits well with the model of the chosen middleware.

The execution scheme is then the following (see Figure
\ref{fig:neurad_grid}):
\begin{enumerate}
\item We first send the learning application and its data to the
  middleware (more precisely on warehouses (DW)) and create the
  computation module;
\item When a worker (W) is ready to compute, it requests a task to
  execute to the coordinator (Coord.);
\item The coordinator assigns the worker a task. This last one retrieves the
application and its assigned data and so can start the computation. 
\item At the end of the learning process, the worker sends the result to a warehouse.
\end{enumerate}

The last step of the application is to retrieve these results (some
weighted neural networks) and exploit them through a dose distribution
process. This latter step is out of the scope of this paper.


\begin{figure}[ht]
  \centering
  \includegraphics[width=8cm]{figures/neurad_gridif}
  \caption{The proposed Neurad gridification}
  \label{fig:neurad_grid}
\end{figure}

\section{Experimental results}
\label{sec:neurad_xp}

The aim of this section is to describe and analyze the experimental
results we have obtained with the parallel Neurad version previously
described. Our goal was to carry out this application with real input
data and on a real global computing testbed.

\subsubsection{Experimental conditions}
\label{sec:neurad_cond}

The size of the input data is about 2.4Gb. In order to avoid that data
noise appears and disturbs the learning process, these data can be
divided into, at most, 25 parts. This generates input data parts of
about 15Mb (in a compressed format). The output data, which are
retrieved after the process, are about 30Kb for each
part. Unfortunately, the data decomposition limitation does not allow
us to use more than 25 computers (XWCH workers). Nevertheless, we used two
distinct deployments of XWCH:
\begin{enumerate} 

\item In the first one, called ``distributed XWCH'' in the following,
  the XWCH coordinator and the warehouses were located in Geneva,
  Switzerland while the workers were running in the same local cluster
  in Belfort, France.

\item The second deployment, called ``local XWCH'' is a local
  deployment where both coordinator, warehouses and workers were in
  the same local cluster.  

\end{enumerate}
For both deployments, during the day these machines were used by
students of the Computer Science Department of the IUT of Belfort.

In order to evaluate the overhead induced by the use of the platform
we have furthermore compared the execution of the Neurad application
with and without the XWCH platform. For the latter case, we mean that the
testbed consists only in workers deployed with their respective data
by the use of shell scripts. No specific middleware was used and the
workers were in the same local cluster.

Finally, five computation precisions were used: $1e^{-1}$, $0.75e^{-1}$,
$0.50e^{-1}$, $0.25e^{-1}$, and $1e^{-2}$.


\subsubsection{Results}
\label{sec:neurad_result}

Table \ref{tab:neurad_res} presents the execution times of the Neurad
application on 25 machines with XWCH (local and distributed
deployment) and without XWCH. These results correspond to the measures
of the same steps for both kinds of execution, i.e. sending of local
data and the executable, the learning process, and retrieving the
results. Results represent the average time of $?? x ??$ executions.


\begin{table}[h!]
  \renewcommand{\arraystretch}{1.7}
  \centering
  \begin{tabular}[h!]{|c|c|c|c|c|}
    \hline
    ~Precision~ & ~1 machine~ & ~Without XWCH~ & ~With XWCH~ & ~With
    local XWCH~ \\
    \hline
     $1e^{-1}$ & 5190 & 558 & 759 & 629\\
    $0.75e^{-1}$ & 6307 & 792 & 1298 & 801 \\
    $0.50e^{-1}$ & 7487 & 792 & 1010 & 844 \\
    $0.25e^{-1}$ & 7787 & 791 & 1000 & 852\\
    $1e^{-2}$ & 11030 & 1035 & 1447 & 1108 \\
    \hline
  \end{tabular}
  \vspace{0.3cm}
\caption{Execution time in seconds of the Neurad application, with and without using the XWCH platform}
  \label{tab:neurad_res}
\end{table}

%\begin{table}[ht]
%  \centering
%  \begin{tabular}[h]{|c|c|c|}
%    \hline
%    Precision & Without XWCH & With XWCH \\
%    \hline
%    $1e^{-1}$ & $558$s & $759$s\\
%    \hline
%  \end{tabular}
%  \caption{Execution time in seconds of Neurad application, with and without using XtremWeb-CH platform}
%  \label{tab:neurad_res}
%\end{table}


As we can see, in the case of a local deployment the overhead induced
by the use of the XWCH platform is about $7\%$. It is clearly a low
overhead. Now, for the distributed deployment, the overhead is about
$34\%$. Regarding to the benefits of the platform, it is a very
acceptable overhead which can be explained by the following points.

First, we point out that the conditions of executions are not really
identical between with and without XWCH contexts. For this last one,
though the same steps were done, all transfer processes are inside a
local cluster with a high bandwidth and a low latency. Whereas when
using XWCH, all transfer processes (between datawarehouses, workers,
and the coordinator) used a wide network area with a smaller
bandwidth. In addition, in executions without XWCH, all the machines
started immediately the computation, whereas when using the XWCH
platform, a latency is introduced by the fact that a computation
starts on a machine, only when this one requests a task.

This underlines that, unsurprisingly, deploying a local
coordinator and one or more warehouses near a cluster of workers can
enhance computations and platform performances. 


\section{Conclusion and future works}

In this paper, we have presented a gridification of a real medical
application, the Neurad application. This radiotherapy application
tries to optimize the irradiated dose distribution within a
patient. Based on a multi-layer neural network, this application
presents a very time consuming step, i.e. the learning step. Due to the
computing characteristics of this step, we choose to parallelize it
using the XtremWeb-CH global computing environment. Obtained
experimental results show good speed-ups and underline that overheads
induced by XWCH are very acceptable, letting it be a good candidate
for deploying parallel applications over a global computing environment.

Our future works include the testing of the application on a more
large scale testbed. This implies, the choice of a data input set
allowing a finer decomposition. Unfortunately, this choice of input
data is not trivial and relies on a large number of parameters

%(demander ici des précisions à Marc).
% Si tu veux parler de l'ensembles des paramètres que l'on peut utiliser pour caractériser les conditions d'irradiations
% tu peux parler : 
% - caracteristiques du faisceaux d'irradiation (beam size (de quelques mm à plus de 40 cm),  energy, SSD (source surface distance), 
% - caractéritiques de  la matière : density 



\bibliographystyle{plain}
\bibliography{biblio}



\end{document}
