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+%-------------------------------------------------------------------------------
+
--- /dev/null
+\documentclass{beamer}
+
+\usepackage{beamerthemefemto}
+
+\usepackage[latin1]{inputenc}
+\usepackage[T1]{fontenc}
+\usepackage{amsfonts,amsmath,amssymb,stmaryrd}
+\usepackage[frenchb]{babel}
+
+
+\usepackage{graphicx}
+\DeclareGraphicsExtensions{.jpg, .png , .pdf, .bmp, .pdftex}
+
+
+\title{Parallelization and optimization \\
+of the neuromorphic simulation code.
+Application on the MNIST problem}
+
+\author{Rapha\"el Couturier, {\bf Michel Salomon}}
+
+\institute[FEMTO-ST Institute]{\textit{FEMTO-ST - DISC Department - AND Team}}
+
+\date{November 2 \& 3, 2015 / Besançon \\
+ Dynamical Systems and Brain-inspired Information Processing Workshop}
+
+% ____ _____ ____ _ _ _____
+% | _ \| ____| __ )| | | |_ _|
+% | | | | _| | _ \| | | | | |
+% | |_| | |___| |_) | |_| | | |
+% |____/|_____|____/ \___/ |_|
+%
+
+\begin{document}
+\setbeamertemplate{background}{\titrefemto}
+
+\begin{frame}[plain]
+\titlepage
+\end{frame}
+
+\setbeamertemplate{background}{\pagefemto}
+
+\begin{frame}{Introduction} % Slide 1
+ % 1 - Photonic implementation of reservoir computing through NLDDE in Laurent's team
+ % 2 - Motivation
+ % -> Success of reservoir computing
+ % -> Hardware implementation allowing fast processing
+ % 3 - Simulation by a Matlab code - pre and post-processing by computer
+ % -> Drawback = redhibitory computation time
+ \begin{femtoBlock}
+ {Background}
+ \begin{itemize}
+ \item Emergence of hardware RC implementation
+ \begin{center}
+ Analogue electronic; {\bf optoelectronic}; fully optical
+ \end{center}
+ {\scriptsize Larger {\em et al.} - {\it Photonic information processing beyond Turing: an optoelectronic
+ implementation of reservoir computing}, Opt. Express 20, 3241-3249 (2012)}
+ \item Simulation code
+ \begin{itemize}
+ \item Study processing conditions
+ \item Tuning parameters
+ \item Pre and post-processing by computer
+ \end{itemize}
+ \end{itemize}
+ \end{femtoBlock}
+ \medskip
+ \begin{femtoBlock}
+ {Motivation}
+ \begin{itemize}
+ \item Study the concept of Reservoir Computing
+ \item Design a faster simulation code
+ \item Apply it to a new problem
+ \end{itemize}
+ \end{femtoBlock}
+\end{frame}
+
+\begin{frame}{Outline}
+\setbeamertemplate{section in toc}[sections numbered]
+\tableofcontents
+\end{frame}
+
+\section{Neuromorphic processing}
+
+\begin{frame}{Delay Dynamics as a Reservoir} % Slide 2
+ \begin{femtoBlock}
+ % Reprendre le schema de la figure 2 du pdf NTC de Laurent
+ {Spatio-temporal viewpoint of a DDE ({\NoAutoSpaceBeforeFDP \tiny Larger {\em et al.} - Opt. Express 20:3 2012})\\}
+ \centering
+ \includegraphics[width=7.5cm]{ntc.png}
+ \begin{itemize}
+ \item $\delta_t \rightarrow \mbox{temporal spacing}; \tau_D \rightarrow \mbox{time delay}$
+ \item $f(x) \rightarrow \mbox{nonlinear transformation}; h(t) \rightarrow \mbox{impulse response}$
+ \end{itemize}
+ \end{femtoBlock}
+ % Slide 21 + equation a retard du NTC
+ \begin{femtoBlock}
+ {Computer simulation with an Ikeda type NLDDE}
+ $$
+ \tau \frac{dx}{dt}(t)=-x(t)+\beta \sin^2 [\alpha\,x(t-\tau_D)+\rho\,u_{\mbox{in}}(t-\tau_D)+\Phi_0]
+ $$
+ \centering
+ $\alpha \rightarrow \mbox{feedback scaling}; \beta \rightarrow \mbox{gain}; \rho \rightarrow \mbox{amplification};
+ \Phi_0 \rightarrow \mbox{offset}$
+ \end{femtoBlock}
+\end{frame}
+
+\begin{frame}{Photonic Reservoir Computing} % Slide 3
+ \begin{femtoBlock}
+ {Optoelectronic setup ({\NoAutoSpaceBeforeFDP \tiny Larger~{\em et al.}~-~Opt.~Express~20:3~2012})\\}
+ \vspace{0.25cm}
+ \centering
+ \includegraphics[width=7.5cm]{photonic-RC.png}
+ \vspace{0.25cm}
+ \end{femtoBlock}
+ \begin{femtoBlock}
+ {Spoken digits recognition task}
+ \begin{itemize}
+ \item Input data $\rightarrow$ {\small matrix obtained by Lyon ear model transformation}
+ \item Output data $\rightarrow$ {\small matrix describing the spoken digit}
+ \end{itemize}
+ \end{femtoBlock}
+\end{frame}
+
+\begin{frame}{Spoken Digits Recognition} % Slide 4
+ \begin{femtoBlock}
+ {Input (pre-processing) \\}
+ \begin{itemize}
+ \item Lyon ear model transformation \\
+ $\rightarrow$ 60 samples $\times$ 86 frequency channels
+ \item Channels connection to reservoir (400 neurons) \\
+ $\rightarrow$ sparse and random
+ \end{itemize}
+ \centering
+ \includegraphics[width=7.5cm]{sdr.png}
+ \end{femtoBlock}
+ \begin{femtoBlock}
+ {Reservoir transient response\\}
+ \vspace{0.125cm}
+ \centering
+ Temporal series recorded for Read-Out processing
+ \end{femtoBlock}
+\end{frame}
+
+\begin{frame}{Spoken Digits Recognition} % Slide 5
+ \begin{femtoBlock}
+ {Output (post-processing)\\}
+ \begin{itemize}
+ \item Training of the Read-Out \\
+ $\rightarrow$ optimize $W^R$ matrix for the digits of the training set
+ \item Regression problem for $A \times W^R \approx B$
+ \vspace{-0.25cm}
+ $$
+ W^R_{\mbox{opt}}=\left(A^TA - \lambda I\right)^{-1} A^T B
+ $$
+ \vspace{-0.5cm}
+ \begin{itemize}
+ \item $A$ = concatenates reservoir transient response for each digit
+ \item $B$ = concatenates target matrices
+ \end{itemize}
+ \end{itemize}
+ \end{femtoBlock}
+ \begin{femtoBlock}
+ {Testing\\}
+ \begin{itemize}
+ \item Dataset of 500 speech samples $\rightarrow$ 5 female speakers
+ \item 20-fold cross-validation $\rightarrow$ 20 $\times$ 25 test samples
+ \item Performance evaluation $\rightarrow$ {\bf W}ord {\bf E}rror {\bf R}ate
+ \end{itemize}
+ \end{femtoBlock}
+\end{frame}
+
+\begin{frame}{Matlab Simulation Code} % Slide 7
+ % Grandes lignes a partir du pdf de Laurent
+ \begin{femtoBlock}
+ {Main lines\\}
+ \end{femtoBlock}
+ % Inconvenient de ce code => temps de calcul
+ \begin{femtoBlock}
+ {Computation time\\}
+ \end{femtoBlock}
+\end{frame}
+
+\section{Parallelization and optimization}
+
+\begin{frame}{Parallelization Scheme} % Slide 8
+ % 1 - Comment le paralleliser
+ % 2 - Langage et bibliotheque
+\end{frame}
+
+\begin{frame}{Finding the Optimal Parameters} % Slide 9
+ % 1 - Quels parametres et pourquoi ?
+\end{frame}
+
+\begin{frame}{Finding the Optimal Parameters} % Slide 10
+ % 2 - Optimisation par recuit simule
+\end{frame}
+
+\begin{frame}{Performances} % Slide 11
+ % 1 - Taux d'erreur en terme de classification
+ % 2 - Gain en temps d'execution / speedup curve
+\end{frame}
+
+\section{Performances on the MNIST problem}
+
+\begin{frame}{Application on the MNIST problem} % Slide 12
+ % 1 - Decrire ce qu'est le MNIST
+ % 2 - Setup de notre reservoir
+\end{frame}
+
+\begin{frame}{Comparison with other approaches} % Slide 13
+ % 1 - Convolutional Neural Networks
+ % 2 - Reservoir en pipeline (papier de 2015)
+\end{frame}
+
+\begin{frame}{Comparison with other approaches} % Slide 14
+ % Tableau recapitulant les performances
+\end{frame}
+
+\section{Conclusion and perspectives}
+
+\begin{frame}{Conclusion and perspectives} % Slide 15
+
+\end{frame}
+
+\begin{frame}{Thank you for your attention}
+ \begin{center}
+ \LARGE Questions ?
+ \end{center}
+\end{frame}
+
+%\begin{frame}{Titre du slide}
+
+% \begin{femtoBlock}
+% {Ceci est un femtoBlock\\}
+% Et ici le texte dans le femtoBlock
+% \begin{itemize}
+% \item premier item
+% \item deuxième item
+% \end{itemize}%
+% \end{femtoBlock}
+% \begin{femtoBlock}
+% {Autre femtoBlock\\}
+% \begin{itemize}
+% \item bla bla
+% \item bla bla
+% \end{itemize}
+% \end{femtoBlock}
+%\end{frame}
+
+%\section{Titre2}
+
+%\begin{frame}{Autre titre}
+
+% \begin{femtoBlock}
+% {Utilisation possible de block (standard)\\}
+
+% \begin{block}{Titre du block}
+% texte contenu dans le block
+% \begin{itemize}
+% \item bla bla
+% \item bla bla
+% \end{itemize}
+% \end{block}
+% \end{femtoBlock}
+
+%\end{frame}
+
+\end{document}
+% _____ ___ _ _
+% | ___|_ _| \ | |
+% | |_ | || \| |
+% | _| | || |\ |
+% |_| |___|_| \_|
+%
