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authorThomas Mesnard <thomas.mesnard@ens.fr>2015-12-28 20:51:50 +0100
committerAlex Auvolat <alex@adnab.me>2016-04-21 10:21:42 +0200
commit072d26e766931007a0f243674f7dfdff5c3104e9 (patch)
treeae3639f4ff3f8e0e3e9767c15322171aa6f2169e
parente8e37dee0c5c846b1aa2dd24dc99095191f72a9b (diff)
downloadpgm-ctc-072d26e766931007a0f243674f7dfdff5c3104e9.tar.gz
pgm-ctc-072d26e766931007a0f243674f7dfdff5c3104e9.zip
Add plot
More TIMIT ; log domain TIMIT: more complexity Nice poster Beautify code (mostly, add comments) Add final stuff.
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--- a/.gitignore
+++ b/.gitignore
@@ -1,3 +1,15 @@
__pycache__/
*.pyc
*.swp
+
+*.aux
+*.log
+*.toc
+*.out
+*.nav
+*.snm
+*.pdf
+*.pdf_tex
+*.bbl
+*.blg
+!projet/Report/final/*
diff --git a/README.md b/README.md
index c4c9da8..72301ac 100644
--- a/README.md
+++ b/README.md
@@ -1,4 +1,11 @@
-# pgm
-Projet PGM
+# CTC implementation for Blocks and Theano
Thomas Mesnard, Alex Auvolat
+
+This repository contains an implementation of the CTC cost function (Graves et al., 2006). To avoid numerical underflow, two solutions are implemented:
+
+- Normalization of the alphas at each timestep
+- Calculations in the logarithmic domain
+
+This repository also contains sample code for applying CTC to two datasets, a simple dummy dataset constituted of artificial data, and code to use the TIMIT dataset. The model on the TIMIT dataset is able to learn up to 50% phoneme accuracy using no handcrafted processing of the signal, but instead uses an end-to-end model composed of convolutions, LSTMs, and the CTC cost function.
+
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@@ -0,0 +1,5 @@
+Report.pdf: Report.tex
+ pdflatex -interaction nonstopmode Report.tex
+ bibtex Report
+ pdflatex -interaction nonstopmode Report.tex
+ pdflatex -interaction nonstopmode Report.tex
diff --git a/Report/Report.bib b/Report/Report.bib
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+@inproceedings{graves2006connectionist,
+ title={Connectionist temporal classification: labelling unsegmented sequence data with recurrent neural networks},
+ author={Graves, Alex and Fern{\'a}ndez, Santiago and Gomez, Faustino and Schmidhuber, J{\"u}rgen},
+ booktitle={Proceedings of the 23rd international conference on Machine learning},
+ pages={369--376},
+ year={2006},
+ organization={ACM}
+}
diff --git a/Report/Report.tex b/Report/Report.tex
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--- /dev/null
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+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\documentclass[11pt,a4paper]{article}
+% XXX Use this line if you want two columns
+% \documentclass[10pt,a4paper,twocolumn]{article}
+% This first part of the file is called the PREAMBLE. It includes
+% customizations and command definitions. The preamble is everything
+% between \documentclass and \begin{document}.
+
+%% Well understand input, and nice output
+\usepackage[utf8]{inputenc}
+\usepackage{lmodern}
+\usepackage[T1]{fontenc}
+
+\usepackage[margin=1.00in,top=1.25in,bottom=1.25in]{geometry} % set the margins
+\usepackage{latexsym} % symbols
+\usepackage{amsmath} % great math stuff
+\usepackage{amssymb} % great math symbols
+\usepackage{amsfonts} % for blackboard bold, etc
+
+\usepackage{titling}
+\usepackage{enumerate}
+\usepackage{fixltx2e} % LaTeX patches, \textsubscript
+\usepackage{cmap} % fix search and cut-and-paste in Acrobat
+\usepackage{color}
+\definecolor{darkgreen}{rgb}{0.0,0.55,0.0} % Defines the color used for link
+
+
+\usepackage[plainpages=false,pdfcenterwindow=true,
+ pdftoolbar=false,pdfmenubar=false,
+ pdftitle={TITLE},
+ pdfauthor={AUTHOR},
+ linkcolor=black,citecolor=black,filecolor=black,urlcolor=black]{hyperref}
+ % Allows url with \href{http://truc.machin/ok?r=yes}{myref}
+\usepackage{graphicx} % to include figures
+\graphicspath{{fig/}} % Directory in which figures are stored
+\usepackage{caption}
+\usepackage{subcaption}
+\usepackage{multicol}
+\usepackage{float}
+\usepackage{palatino} % Use the Palatino font % XXX
+\usepackage{graphics}
+\usepackage{indentfirst}
+\usepackage{graphicx}
+
+% various theorems, numbered by section
+\newtheorem{thm}{Theorem}[section]
+\newtheorem{lem}[thm]{Lemma}
+\newtheorem{proof}[thm]{Proof}
+
+\usepackage{lastpage,fancyhdr}
+\pagestyle{fancyplain}
+ \renewcommand{\headrulewidth}{0.2pt}
+ \renewcommand{\footrulewidth}{0.2pt}
+ \lhead{\emph{Connectionist Temporal Classification}}
+ %\rhead{\emph{\today}}
+ \rhead{\emph{January 13, 2016}}
+ \lfoot{\textsc{\'Ecole Normale Sup\'erieure de Paris}}
+ \cfoot{\thepage/\pageref{LastPage}}
+ \rfoot{\textsc{Alex Auvolat, Thomas Mesnard}}
+
+%% Horizontal Lines
+\providecommand*{\hr}[1][class-arg]{%
+ \hspace*{\fill}\hrulefill\hspace*{\fill}
+ \vskip 0.65\baselineskip
+}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{document}
+\DeclareGraphicsExtensions{.pdf,.png,.jpg}
+
+\pretitle{
+ \begin{center}
+ \vspace{-5em}
+ \includegraphics[width=3cm]{ens2.jpg}\hfill
+ \includegraphics[width=3cm]{ENSCachan.png}\hfill
+ \includegraphics[width=3cm]{mila.png}\\\vspace{3em}
+}
+\posttitle{\end{center}}
+%
+%------------------------------------------------------------------------------
+\title{\huge Connectionist Temporal Classification: \\Labelling Unsegmented Sequences with \\Recurrent Neural Networks \\ \Large{Research Project Report -- Probabilistic Graphical Models course} }
+% \date{\today}
+\date{}
+
+\maketitle
+% ------------------------------------------------------------------------------
+% \vspace*{-1.5cm}
+\begin{center}
+% Authors
+ \begin{multicols}{2}
+ \setcounter{footnote}{-1} %% XXX
+ \textsc{Alex Auvolat} \\
+ Department of Computer Science\\
+ \'Ecole Normale Sup\'erieure de Paris \\
+ \texttt{alex.auvolat@ens.fr}\\
+ \textsc{Thomas Mesnard}
+ \footnote{If needed, see online at \url{https://github.com/thomasmesnard/CTC-LSTM} for the implementation, open-sourced under the Apache license.}\\
+ Department of Computer Science\\
+ \'Ecole Normale Sup\'erieure de Paris \\
+ \texttt{thomas.mesnard@ens.fr}\\
+ % \and % \and or \And or \AND
+ \end{multicols}
+ %\vspace*{-0.3cm}
+ % \'Ecole Normale Sup\'erieure de Paris \\
+ % \texttt{\{alex.auvolat,thomas.mesnard\}@ens.fr}
+\end{center}
+
+\vspace{1em}
+
+% ------------------------------------------------------------------------------
+\hr{} % Horizontal line, like <hr> in HTML
+%\hfill{}
+
+\vspace{1em}
+
+% ------------------------------------------------------------------------------
+% A small abstract of what is done in the paper
+\begin{abstract}
+ Many real-world sequence learning tasks require the prediction of sequences of
+ labels from noisy, unsegmented input data. Recurrent neural networks (RNNs) are powerful sequence learners that would seem well suited to such tasks. However, because they require pre-segmented training data, and post-processing to transform their outputs into label sequences, they cannot be applied directly. Connectionist Temporal Classification is a method for training RNNs to label unsegmented sequences directly, thereby solving both problems.
+\end{abstract}
+
+\vspace{1em}
+
+% ------------------------------------------------------------------------------
+\hr{} % Horizontal line, like <hr> in HTML
+% XXX remove if it is ugly or take too much space
+
+%\hfill{}
+
+\vspace{1em}
+
+% ------------------------------------------------------------------------------
+% About the report
+\begin{center}
+ \textbf{Project Advisor:} Guillaume Obozinski \\
+ \textbf{Course:}
+ \emph{``Probabilistic Graphical Models''}, by F. Bach, S. Lacoste-Julien, G. Obozinski \\
+ \textbf{For} the \href{http://www.math.ens-cachan.fr/version-anglaise/academics/mva-master-degree-227777.kjsp}{Math\'ematiques, Vision, Apprentissage (MVA)} Master 2
+ at \href{http://www.ens-cachan.fr/}{ENS de Cachan}.
+\end{center}
+
+%\footnote{If needed, see online at \href{https://github.com/thomasmesnard/CTC-LSTM}{https://github.com/thomasmesnard/CTC-LSTM}for an e-version of this report, as well as additional resources, open-sourced under the \href{http://opensource.org/licenses/MIT}{MIT License}}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\newpage
+
+\section{Model}
+
+Connectionist Temporal Classification (CTC) introduces a new cost function for training recurrent neural networks to label unsegmented sequences directly.
+To use this cost function, we introduce an additional blank symbol in the possible labels that the recurrent neural networks can output. We remind that the output layer of the recurrent neural networks correspond to probabilities over all possible labels.
+
+This additional blank symbol give freedom to the RNN to give the label for a section of input at any moment, and especially when it is sure of its answer, simply by outputting the blank label the rest of the time.
+
+The blank label also allows the network to give a strong probability to the correct label at a very localized point in time, whereas in a classical setup we observe distributed probabilities over all labels at each time step. An example of both behaviors can be observed on speech data in Figure \ref{Example}.
+
+\begin{figure}[h]
+ \centering
+ \includegraphics[width=1\linewidth]{azerty3.png}
+ \caption{\small Output of classic framewise phoneme classification and RNN trained with CTC}
+ \label{Example}
+\end{figure}
+
+As the output sequence is shorter than the input sequence, there are many possible alignments with the correct label sequence. We want the recurrent neural network to learn one of these correct alignments on its own. Using dynamic programing to sum over all the possible alignments, CTC provides gradients for the backpropagation phase to train the RNN to learn a good alignment.
+
+In the basic setup shown in Figure~\ref{Setup}, we use stacked bidirectional recurrent neural networks. The CTC brick takes as inputs the output of the last bidirectional recurrent neural network as well as the target label sequence, and calculates the cost of the label. When differentiated, the CTC brick gives back gradients to train the RNN and learn a good alignment.
+
+
+% \begin{figure}[h]
+% \centering
+% \includegraphics[width=0.3\linewidth]{azerty4.png}
+% \caption{Simple bidirectional RNN model with CTC cost layer}
+% \label{Setup}
+% \end{figure}
+
+We use the following notation:
+
+\begin{itemize}
+ \item $y_k^t$: output at time $t$ for symbol $k$
+ \item $l$: the label sequence for which we want to calculate a cost
+ \item $l'$: the same label sequence but with blanks added between each letters
+\end{itemize}
+
+\begin{figure}[H]
+ \hfill{}
+ \begin{minipage}{.4\textwidth}
+ \centering
+ \includegraphics[width=0.8\linewidth]{azerty4.png}
+ \caption{Simple bidirectional RNN model with CTC cost layer}
+ \label{Setup}
+ \end{minipage}
+ \hfill{}
+ \begin{minipage}{.5\textwidth}
+ \centering
+ \vspace{1em}
+ \includegraphics[width=1.0\linewidth]{azerty1.png}
+ \caption{Computation graph for $\alpha_t(s)$ (corresponds to an unrolling of the automaton that recognizes $\mathcal{B}^{-1}(l)$)}
+ \label{auto}
+ \end{minipage}
+ \hfill{}
+\end{figure}
+
+\subsection{First Definition}
+
+CTC is a dynamic programming algorithm that calculates the following variable:
+
+\begin{equation}
+ \alpha_t(s) = \sum_{\substack{\pi \in N^T:\\\mathcal{B}(\pi_{1:t}) = l'_{1:s}}} \prod_{t'=1}^t y_{\pi_{t'}}^{t'}
+ \label{first}
+\end{equation}
+
+Where:
+\begin{itemize}
+ \item $\mathcal{B}$ is the transform that removes all blanks and duplicates
+ \item $\pi \in N^T: \mathcal{B}(\pi_{1:t}) = l'_{1:s}$ corresponds to all possible paths among all possible labels from time step $1$ to $t$ which give the $s$ first correct labels after we apply the $\mathcal{B}$ transform.
+ \item $y^{t'}$ corresponds to the output of the RNN at time $t'$
+\end{itemize}
+
+We can see that $\alpha_t(s)$ corresponds to the sum, over all possible paths between time step $1$ and $t$ that will give the $s$ first correct labels after removing all banks and duplicates, of the product of the probabilities output by the RNN on these paths.
+
+The formulation described in Equation~\ref{first} is equivalent to the unrolled automaton presented in Figure~\ref{auto}.
+To allow for blanks in the output paths, we consider a modified label sequence $l'$, with blanks added to the beginning and the end and inserted between every pair of labels. The length of $l'$ is therefore $2|l|+1$. This allows transition between blank and non-blank labels, and also those between any pair of distinct non-blank labels.
+
+% \begin{figure}[h]
+% \centering
+% \includegraphics[width=0.6\linewidth]{azerty1.png}
+% \caption{Computation graph for $\alpha_t(s)$ (corresponds to an unrolled automaton)}
+% \label{auto}
+% \end{figure}
+
+
+\subsection{Recursive Definition}
+
+The definition of $\alpha_t(s)$ given above enables us to understand what this function calculates, but unfortunately it is not practical to compute. We will now see a recursive definition of the $\alpha_t(s)$ which provides a dynamic programming algorithm for our problem. This calculation is illustrated in Figure~\ref{auto}.
+
+We first have to initiate $\alpha_1$ with at first a blank label, then the first correct label and finally just zeros. Indeed, it is impossible that more than one correct label derive from only one output of the RNN:
+
+\[
+\begin{tabular}{rcl}
+ $\alpha_1(1)$ &=& $y_b^1$\\
+ $\alpha_1(2)$ &=& $y_{l_1}^1$\\
+ $\alpha_1(s)$ &=& $0, \forall s > 2$
+\end{tabular}
+\]
+
+We then define the recurrence relations:
+\[
+\alpha_t(s) =
+\begin{cases}
+ \bar{\alpha}_t(s) y_{l'_s}^t & \mbox{ if } l'_s = b\mbox{ or }l'_{s-2}=l'_s \\
+ (\bar{\alpha}_t(s)+\alpha_{t-1}(s-2)) y_{l'_s}^t &\mbox{ otherwise}\\
+\end{cases}
+\]
+
+With:
+
+\[
+\bar{\alpha}_t(s) = \alpha_{t-1}(s) + \alpha_{t-1}(s-1)
+\]
+
+Finally, we have:
+\[
+ p(l|x) = \alpha_T(|l'|) + \alpha_T(|l'|-1)
+\]
+
+Which give us, given an input, the probability of having a particular sequence.
+
+
+\subsection{Analysis of the Gradient Provided by CTC}
+
+\begin{figure}[h]
+ \centering
+ \includegraphics[width=0.6\linewidth]{azerty2.png}
+ \caption{Evolution of the CTC error signal}
+ \label{error}
+\end{figure}
+
+In Figure \ref{error}, the left column shows the output activations for the same sequence at various stages of training. The dashed line corresponds to the blank unit. The right column shows the corresponding error signals, i.e.~the gradient which is sent back to the RNN.
+
+On the early stage of the training (a), the network does not make predictions because it has small random weights, the error is only determined by the target sequence and is localized only very vaguely.
+
+During the training (b), the network begins to make predictions and the error localizes around them.
+
+At the end of the training (c), the network strongly predicts the correct labels at very specific times, and the rest of the time outputs the blank label. The error signal becomes null since there is no error.
+
+
+\section{Experiments}
+
+We made an implementation of the model using \href{https://github.com/Theano/Theano}{Theano} and \href{https://github.com/mila-udem/blocks/}{Blocks} which is a Theano framework for building and training neural networks. The code is available at the following address: \url{https://github.com/thomasmesnard/CTC-LSTM}.
+
+As Theano provides an automated symbolic differentiation tool, we implemented the forward recursion for $\alpha_t(s)$ and let Theano derive the backward calculation. To avoid numerical underflow, two methods can be applied, which we both implemented:
+
+\begin{itemize}
+ \item Normalize at each time step $t$ the $\alpha_t$:
+ \hspace{1em}
+ $ C_t = \sum_s \alpha_t(s)$
+ \hspace{1em}
+ $\hat{\alpha}_t(s) = \frac{\alpha_t(s)}{C_t}$
+ \item Do our calculations in the logarithmic domain
+
+\end{itemize}
+
+\subsection{Toy Dataset}
+
+We first tried our implementation on a simple task. Our dataset is composed of the following sequences, where each digit is randomly repeated a random number of times.
+
+\begin{center}
+\begin{tabular}{c}
+ $1^*2^*3^*4^*5^* \to 1$ \\
+ $1^*2^*3^*2^*1^* \to 2$ \\
+ $5^*4^*3^*2^*1^* \to 3$ \\
+ $5^*4^*3^*4^*5^* \to 4$ \\
+\end{tabular}
+\end{center}
+
+The network has to learn the previous association. The two first sequences have an overlap on the three first digits. The network has to wait until the fourth digit to know if it is either a 1 or a 2. We can see here the importance of the blank label. Indeed, the network will have to outputs the blank label until the fourth label is presented to be able to give the correct label. The same reasoning can be applied for the two last sequences.
+
+We have two versions of the toy dataset: on the first version each piece of the sequence is perfectly identifiable as each character appears at least once (the input sequence is therefore at least 5 times as long as the target sequence). On the second version some characters may be omitted in the input, adding stochasticity to the task. CTC provides very good results on the two tasks (shown in Table~\ref{tbl_result} and Table~\ref{tbl_result2}).
+
+\begin{table}[H]
+ \centering
+ \vspace{2ex}
+ \begin{minipage}{0.45\textwidth}
+ \begin{tabular}{l l l}
+ %\toprule
+ \hline
+ \textbf{Results} & \textbf{train} & \textbf{valid}\\
+ \hline
+ %\midrule
+ Output sequence length & 5 -- 50 & 5 -- 50 \\
+ Error rate & 0 & 0 \\
+ Mean edit distance & 0 & 0 \\
+ Errors per character & 0 & 0 \\
+ \hline
+ %\bottomrule
+ \end{tabular}
+ \caption{Performances of CTC on our toy dataset, with perfect input sequences}
+ \label{tbl_result}
+ \end{minipage}
+ \hfill{}
+ \begin{minipage}{0.45\textwidth}
+ \begin{tabular}{l l l}
+ %\toprule
+ \hline
+ \textbf{Results} & \textbf{train} & \textbf{valid}\\
+ \hline
+ %\midrule
+ Output sequence length & 5 -- 20 & 5 -- 20 \\
+ Error rate & 0.62 & 0.63 \\
+ Mean edit distance & 1.0 & 1.1 \\
+ Errors per character & 0.08 & 0.09 \\
+ \hline
+ %\bottomrule
+ \end{tabular}
+ \caption{Performances of CTC on our toy dataset, with imperfect input sequences}
+ \label{tbl_result2}
+ \end{minipage}
+\end{table}
+
+We observe that the model performs flawlessly on the first task. On the other task, the error rate is not as low as expected but we remind that it corresponds to the rate on which the network is able to find the complete target sequence. A more meaningful measure is the error rate per character which is only $9\%$ on the validation set. We deduce from these two results that the model is able to perfectly learn the rule that maps the input sequences to the targets, but even though, it cannot achieve perfect results on the second task as information is sometimes missing in the input. Both implementations converge in less than 1000 time steps.
+
+%\begin{figure}[h]
+% \centering
+% \includegraphics[width=0.6\linewidth]{ctc_cost_best.png}
+% \caption{Training and validation cost of the CTC model (negative log likelihood)}
+%\end{figure}
+
+\subsection{TIMIT}
+
+\begin{figure}[H]
+ \hfill{}
+ \begin{minipage}{.5\textwidth}
+ \centering
+ \includegraphics[width=0.95\linewidth]{pouet_timit_cost.png}
+ \caption{\footnotesize Training cost of the CTC model on TIMIT}
+ \label{timit_cost}
+ \end{minipage}
+ \hfill{}
+ \begin{minipage}{.45\textwidth}
+ \centering
+ \vspace{1em}
+ \includegraphics[width=0.95\linewidth]{pouet_timit_ER.png}
+ \caption{\footnotesize Error rate of the CTC model on TIMIT}
+ \label{timit_er}
+ \end{minipage}
+ \hfill{}
+\end{figure}
+
+
+\begin{table}[H]
+ \centering
+ \small
+ \begin{tabular}{l l l l l l}
+ \hline
+ \textbf{Convolution layers} & \textbf{Filters} & \textbf{Filter size} & \textbf{Stride} & \textbf{Skip} & \textbf{Normalize} \\
+ \hline
+ Layer 1 & 20 & 200 & 10 & Yes & Yes \\
+ Layer 2 & 20 & 200 & 10 & Yes & Yes \\
+ Layer 3 & 20 & 30 & 2 & Yes & Yes \\
+ Layer 4 & 100 & 20 & 2 & No & Yes \\
+ \hline
+ \textbf{Recurrent layers} & \textbf{Size} & \textbf{Type} & \textbf{Bidirectional} & \textbf{Skip} & \textbf{Normalize} \\
+ \hline
+ Layer 1 & 50 & LSTM & Yes & Yes & No \\
+ Layer 2 & 50 & LSTM & Yes & Yes & No \\
+ \hline
+ %\bottomrule
+ \end{tabular}
+ \caption{Structure of the Deep Neural Network for the TIMIT dataset}
+ \label{params_timit}
+\end{table}
+
+We then tried on the classical TIMIT dataset. It is a raw speech signal dataset of 4120 sentences labelled by phonemes or by words. The average audio length is 50\,000 samples and the average sentence length is 38 phonemes.
+
+To avoid hand-crafted feature extraction on the speech signal, we use convolution layers before the bidirectional LSTM layers. We then use bidirectional LSTM layers, and of course the CTC cost function. We use noise and normalization on intermediate layers for regularization. The structure of our model is described in Table~\ref{params_timit}.
+
+We were able to attain a $50\%$ phoneme error rate on the validation set after about 150 epochs of training (see Figure~\ref{timit_er}). This result is not as good as the $30\%$ achieved by the original paper~\cite{graves2006connectionist}, however it is an extremely good result for the model as we do not use hand-crafted preprocessing on the data. This shows that the convolution layers are able to learn the filters necessary for audio processing on speech by themselves.
+
+\section{Conclusion}
+
+CTC is a powerful cost function for training RNNs on unsegmented data, now largely used in major commercial applications. We were able to get very good results using CTC on a toy dataset. We proposed a way of processing speech data with convolutional neural networks and were able to train a convnet-LSTM-CTC model with satisfactory results on TIMIT.
+% ------------------------------------------------------------------------------
+% ------------------------------------------------------------------------------
+
+%\vspace{4em}
+%\hr{} % Horizontal line, like <hr> in HTML
+%\vspace{2em}
+
+% XXX remove if it is ugly or take too much space
+
+
+%% Bibliography
+\nocite{*} % XXX remove to hide references not cited!
+
+% To compile: pdflatex, pdflatex, bibtex, pdflatex, pdflatex
+\bibliographystyle{unsrt}
+
+\small
+\bibliography{Report}
+
+
+% ------------------------------------------------------------------------------
+%\hr{} % Horizontal line, like <hr> in HTML
+% XXX remove if it is ugly or take too much space
+
+
+%\vfill
+%\subsubsection*{License}
+%\begin{center}
+% \begin{small}
+% This paper (and the additional resources -- including code, images, etc),
+% are publicly published under the terms of the \href{http://opensource.org/licenses/MIT}{MIT License}.
+% Copyright 2015-2016 \copyright ~Alex~Auvolat and ~Thomas~Mesnard.
+% \end{small}
+%\end{center}
+
+
+\end{document}
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diff --git a/Report/ctc_cost_best.png b/Report/ctc_cost_best.png
new file mode 100644
index 0000000..63bd584
--- /dev/null
+++ b/Report/ctc_cost_best.png
Binary files differ
diff --git a/Report/ens2.jpg b/Report/ens2.jpg
new file mode 100755
index 0000000..22463ab
--- /dev/null
+++ b/Report/ens2.jpg
Binary files differ
diff --git a/Report/final/Projet_Auvolat_Mesnard.zip b/Report/final/Projet_Auvolat_Mesnard.zip
new file mode 100644
index 0000000..92d3945
--- /dev/null
+++ b/Report/final/Projet_Auvolat_Mesnard.zip
Binary files differ
diff --git a/Report/les_resultats.py b/Report/les_resultats.py
new file mode 100644
index 0000000..7519e37
--- /dev/null
+++ b/Report/les_resultats.py
@@ -0,0 +1,27 @@
+import numpy
+import matplotlib.pyplot as plt
+
+train_x = [10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 420, 430, 440, 450, 460, 470, 480, 490, 500, 510, 520, 530, 540, 550, 560, 570, 580, 590, 600, 610, 620, 630, 630, 640, 650, 660, 670, 680, 690, 700, 710, 720, 730, 740, 750, 760, 770, 780, 790, 800, 810, 820, 830, 840, 840, 850, 860, 870, 880, 890, 900, 910, 920, 930, 940, 950, 960, 970, 980, 990, 1000, 1010, 1020, 1030, 1040, 1050, 1050, 1060, 1070, 1080, 1090, 1100, 1110, 1120, 1130, 1140, 1150, 1160, 1170, 1180, 1190, 1200, 1210, 1220, 1230, 1240, 1250, 1260, 1260, 1270, 1280, 1290, 1300, 1310, 1320, 1330, 1340, 1350, 1360, 1370, 1380, 1390, 1400, 1410, 1420, 1430, 1440, 1450, 1460, 1470, 1470, 1480, 1490, 1500, 1510, 1520, 1530, 1540, 1550, 1560, 1570, 1580, 1590, 1600, 1610, 1620, 1630, 1640, 1650, 1660, 1670, 1680, 1680, 1690, 1700, 1710, 1720, 1730, 1740, 1750, 1760, 1770, 1780, 1790, 1800, 1810, 1820, 1830, 1840, 1850, 1860, 1870, 1880, 1890, 1890, 1900, 1910, 1920, 1930, 1940, 1950, 1960, 1970, 1980, 1990, 2000, 2010, 2020, 2030, 2040, 2050, 2060, 2070, 2080, 2090, 2100, 2100, 2110, 2120, 2130, 2140, 2150, 2160, 2170, 2180, 2190, 2200, 2210, 2220, 2230, 2240, 2250, 2260, 2270, 2280, 2290, 2300, 2310, 2310, 2320, 2330, 2340, 2350, 2360, 2370, 2380, 2390, 2400, 2410, 2420, 2430, 2440, 2450, 2460, 2470, 2480, 2490, 2500, 2510, 2520, 2520, 2530, 2540, 2550, 2560, 2570, 2580, 2590, 2600, 2610, 2620, 2630, 2640, 2650, 2660, 2670, 2680, 2690, 2700, 2710, 2720, 2730, 2730, 2740, 2750, 2760, 2770, 2780, 2790, 2800, 2810, 2820, 2830, 2840, 2850, 2860, 2870, 2880, 2890, 2900, 2910, 2920, 2930, 2940, 2940, 2950, 2960, 2970, 2980, 2990, 3000, 3010, 3020, 3030, 3040, 3050, 3060, 3070, 3080, 3090, 3100, 3110, 3120, 3130, 3140, 3150, 3150, 3160, 3170, 3180, 3190, 3200, 3210, 3220, 3230, 3240, 3250, 3260, 3270, 3280, 3290, 3300, 3310, 3320, 3330, 3340, 3350, 3360, 3360, 3370, 3380, 3390, 3400, 3410, 3420, 3430, 3440, 3450, 3460, 3470, 3480, 3490, 3500, 3510, 3520, 3530, 3540, 3550, 3560, 3570, 3570, 3580, 3590, 3600, 3610, 3620, 3630, 3640, 3650, 3660, 3670, 3680, 3690, 3700, 3710, 3720, 3730, 3740, 3750, 3760, 3770, 3780, 3780, 3790, 3800, 3810, 3820, 3830, 3840, 3850, 3860, 3870, 3880, 3890, 3900, 3910, 3920, 3930, 3940, 3950, 3960, 3970, 3980, 3990, 3990, 4000, 4010, 4020, 4030, 4040, 4050, 4060, 4070, 4080, 4090, 4100, 4110, 4120, 4130, 4140, 4150, 4160, 4170, 4180, 4190, 4200, 4200, 4210, 4220, 4230, 4240, 4250, 4260, 4270, 4280, 4290, 4300, 4310, 4320, 4330, 4340, 4350, 4360, 4370, 4380, 4390, 4400, 4410, 4410, 4420, 4430, 4440, 4450, 4460, 4470, 4480, 4490, 4500, 4510, 4520, 4530, 4540, 4550, 4560, 4570, 4580, 4590, 4600, 4610, 4620, 4620, 4630, 4640, 4650, 4660, 4670, 4680, 4690, 4700, 4710, 4720, 4730, 4740, 4750, 4760, 4770, 4780, 4790, 4800, 4810, 4820, 4830, 4830, 4840, 4850, 4860, 4870, 4880, 4890, 4900, 4910, 4920, 4930, 4940, 4950, 4960, 4970, 4980, 4990, 5000, 5010, 5020, 5030, 5040, 5040, 5050, 5060, 5070, 5080, 5090, 5100, 5110, 5120, 5130, 5140, 5150, 5160, 5170, 5180, 5190, 5200, 5210, 5220, 5230, 5240, 5250, 5250, 5260, 5270, 5280, 5290, 5300, 5310, 5320, 5330, 5340, 5350, 5360, 5370, 5380, 5390, 5400, 5410, 5420, 5430, 5440, 5450, 5460, 5460, 5470, 5480, 5490, 5500, 5510, 5520, 5530, 5540, 5550, 5560, 5570, 5580, 5590, 5600, 5610, 5620, 5630, 5640, 5650, 5660, 5670, 5670, 5680, 5690, 5700, 5710, 5720, 5730, 5740, 5750, 5760, 5770, 5780, 5790, 5800, 5810, 5820, 5830, 5840, 5850, 5860, 5870, 5880, 5880, 5890, 5900, 5910, 5920, 5930, 5940, 5950, 5960, 5970, 5980, 5990, 6000, 6010, 6020, 6030, 6040, 6050, 6060, 6070, 6080, 6090, 6090, 6100, 6110, 6120, 6130, 6140, 6150, 6160, 6170, 6180, 6190, 6200, 6210, 6220, 6230, 6240, 6250, 6260, 6270, 6280, 6290, 6300, 6300, 6310, 6320, 6330, 6340, 6350, 6360, 6370, 6380, 6390, 6400, 6410, 6420, 6430, 6440, 6450, 6460, 6470, 6480, 6490, 6500, 6510, 6510, 6520, 6530, 6540, 6550, 6560, 6570, 6580, 6590, 6600, 6610, 6620, 6630, 6640, 6650, 6660, 6670, 6680, 6690, 6700, 6710, 6720, 6720, 6730, 6740, 6750, 6760, 6770, 6780, 6790, 6800, 6810, 6820, 6830, 6840, 6850, 6860, 6870, 6880, 6890, 6900, 6910, 6920, 6930, 6930, 6940, 6950, 6960, 6970, 6980, 6990, 7000, 7010, 7020, 7030, 7040, 7050, 7060, 7070, 7080, 7090, 7100, 7110, 7120, 7130, 7140, 7140, 7150, 7160, 7170, 7180]
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107.4736557006836, 107.4736557006836, 63.69533157348633, 58.38372039794922, 57.561012268066406, 80.69139099121094, 66.34272766113281, 55.101318359375, 53.94350051879883, 71.37568664550781, 80.2947006225586, 54.42975997924805, 53.98969268798828, 66.13937377929688, 97.61644744873047, 59.25038528442383, 55.36942672729492, 61.2443962097168, 90.33424377441406, 54.00713348388672, 54.1462516784668, 56.25630569458008, 93.71345520019531, 93.71345520019531, 53.76762008666992, 54.99840545654297, 58.410118103027344, 92.22172546386719, 72.87686920166016, 55.26332473754883, 53.97492218017578, 73.10933685302734, 78.8005599975586, 53.8826789855957, 52.685951232910156, 65.84062194824219, 93.15460968017578, 55.31293869018555, 53.404823303222656, 60.04029083251953, 93.31055450439453, 57.60600662231445, 54.57752227783203, 56.5758056640625, 96.80931091308594, 96.80931091308594, 57.15104293823242, 53.555030822753906, 54.15336227416992, 79.26002502441406, 69.00534057617188, 53.702781677246094, 54.45573043823242, 73.52928161621094, 88.3958740234375, 59.07117462158203, 54.78680419921875, 62.48712921142578, 81.0561752319336, 53.82013702392578, 51.609405517578125, 65.02668762207031, 85.89973449707031, 52.37298583984375, 59.02973175048828, 56.21425247192383, 89.510986328125, 89.510986328125, 51.91289138793945, 52.08428955078125, 53.18146896362305, 82.71158599853516, 65.89899444580078, 52.647216796875, 55.69282913208008, 69.70824432373047, 73.98417663574219, 51.95792770385742, 51.611351013183594, 61.88373947143555, 87.11563110351562, 63.61185836791992, 56.17607498168945, 59.37639617919922, 84.23460388183594, 52.92940139770508, 52.14185333251953, 54.071044921875, 88.82882690429688, 88.82882690429688, 50.680030822753906, 51.265777587890625, 53.25732421875, 86.82232666015625, 63.775428771972656, 51.985504150390625, 51.64417266845703, 74.45440673828125, 82.09894561767578, 52.4028434753418, 51.156578063964844, 62.92765426635742, 90.60025024414062, 54.31724166870117, 51.569862365722656, 58.97062301635742, 84.95948791503906, 53.263824462890625, 52.2595329284668, 54.409217834472656, 95.94291687011719, 95.94291687011719, 55.44050216674805, 64.35740661621094, 57.17742919921875, 75.88489532470703, 59.90824508666992, 51.412872314453125, 50.87439727783203, 67.61165618896484, 70.25477600097656, 50.390682220458984, 50.11556625366211, 64.45280456542969, 85.7797622680664, 53.36262893676758, 50.269500732421875, 57.17934036254883, 88.0357666015625, 51.14348602294922, 50.049049377441406, 52.90114212036133, 92.9959487915039, 92.9959487915039, 51.27323532104492, 50.2881965637207, 54.0728645324707, 85.35533142089844, 66.60649108886719, 50.510459899902344, 49.99077606201172, 66.27311706542969, 82.9278335571289, 58.38496780395508, 53.43803787231445, 62.60850143432617, 74.76079559326172, 51.48041534423828, 49.733985900878906, 54.603729248046875, 80.97642517089844, 55.8668327331543, 51.910423278808594, 52.561973571777344, 83.47212219238281, 83.47212219238281, 60.261390686035156, 57.36661911010742, 53.60051727294922, 71.9022445678711, 57.912445068359375, 50.25806427001953, 49.1870002746582, 63.5728759765625, 68.0941390991211, 49.70363235473633, 48.87373352050781, 58.7414436340332, 81.9002914428711, 50.26862335205078, 48.34414291381836, 57.756858825683594, 89.35389709472656, 51.31721115112305, 49.74910354614258, 69.26002502441406, 83.78556060791016, 83.78556060791016, 48.9345703125, 49.421024322509766, 49.83205795288086, 71.89759826660156]
+
+valid_x = [0, 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630, 672, 714, 756, 798, 840, 882, 924, 966, 1008, 1050, 1092, 1134, 1176, 1218, 1260, 1302, 1344, 1386, 1428, 1470, 1512, 1554, 1596, 1638, 1680, 1722, 1764, 1806, 1848, 1890, 1932, 1974, 2016, 2058, 2100, 2142, 2184, 2226, 2268, 2310, 2352, 2394, 2436, 2478, 2520, 2562, 2604, 2646, 2688, 2730, 2772, 2814, 2856, 2898, 2940, 2982, 3024, 3066, 3108, 3150, 3192, 3234, 3276, 3318, 3360, 3402, 3444, 3486, 3528, 3570, 3612, 3654, 3696, 3738, 3780, 3822, 3864, 3906, 3948, 3990, 4032, 4074, 4116, 4158, 4200, 4242, 4284, 4326, 4368, 4410, 4452, 4494, 4536, 4578, 4620, 4662, 4704, 4746, 4788, 4830, 4872, 4914, 4956, 4998, 5040, 5082, 5124, 5166, 5208, 5250, 5292, 5334, 5376, 5418, 5460, 5502, 5544, 5586, 5628, 5670, 5712, 5754, 5796, 5838, 5880, 5922, 5964, 6006, 6048, 6090, 6132, 6174, 6216, 6258, 6300, 6342, 6384, 6426, 6468, 6510, 6552, 6594, 6636, 6678, 6720, 6762, 6804, 6846, 6888, 6930, 6972, 7014, 7056, 7098, 7140, 7182]
+valid_cost =[364.5904235839844, 279.127685546875, 264.63031005859375, 249.2937469482422, 232.4756317138672, 235.8790283203125, 215.7898712158203, 208.1250457763672, 199.77835083007812, 189.05300903320312, 191.4433135986328, 192.36190795898438, 187.217041015625, 175.91787719726562, 171.91650390625, 172.51966857910156, 174.4485626220703, 171.8967742919922, 163.4190216064453, 175.60372924804688, 157.4044189453125, 168.50167846679688, 169.2763214111328, 161.4881591796875, 174.42529296875, 167.9474334716797, 161.90689086914062, 162.2763671875, 160.785888671875, 156.46385192871094, 161.48812866210938, 158.58535766601562, 159.79159545898438, 157.05345153808594, 153.82350158691406, 151.98086547851562, 158.80264282226562, 162.184814453125, 157.32852172851562, 150.48904418945312, 161.20620727539062, 148.552490234375, 149.32762145996094, 148.5352325439453, 151.89700317382812, 153.10687255859375, 149.1084442138672, 148.3770751953125, 140.5742950439453, 153.5819854736328, 142.99942016601562, 152.76815795898438, 152.29672241210938, 145.40451049804688, 145.81600952148438, 147.19259643554688, 153.97625732421875, 146.57736206054688, 138.8104705810547, 150.4037322998047, 148.7781524658203, 140.95362854003906, 141.92892456054688, 157.51220703125, 144.71168518066406, 148.02027893066406, 148.974853515625, 134.40692138671875, 147.7875213623047, 163.51719665527344, 142.8425750732422, 144.03854370117188, 144.1996307373047, 144.03939819335938, 145.361083984375, 148.8046112060547, 141.1871337890625, 153.98260498046875, 149.01589965820312, 137.35989379882812, 144.11614990234375, 134.5603485107422, 137.90049743652344, 140.70523071289062, 145.3502197265625, 145.46055603027344, 157.419677734375, 138.19113159179688, 143.32444763183594, 149.907470703125, 142.496337890625, 145.5762481689453, 161.54122924804688, 160.5546112060547, 138.96588134765625, 151.0968780517578, 151.427490234375, 151.1297149658203, 140.4689178466797, 134.4274444580078, 144.43069458007812, 152.95999145507812, 144.57208251953125, 164.4092559814453, 134.485595703125, 140.07579040527344, 146.0001220703125, 144.75619506835938, 136.7599639892578, 139.87179565429688, 142.1566619873047, 139.58596801757812, 151.96633911132812, 155.36654663085938, 145.63656616210938, 135.86512756347656, 132.28634643554688, 131.9317169189453, 134.84188842773438, 143.6789093017578, 155.36917114257812, 153.2019500732422, 160.43850708007812, 201.95516967773438, 140.56777954101562, 142.15231323242188, 147.2138214111328, 145.48768615722656, 142.57870483398438, 155.54393005371094, 159.6879119873047, 142.1046600341797, 142.68450927734375, 163.3708953857422, 139.8641815185547, 151.1313934326172, 156.3168487548828, 141.163330078125, 157.93283081054688, 156.18775939941406, 151.70700073242188, 165.7404327392578, 171.81130981445312, 146.48873901367188, 135.18301391601562, 145.9766082763672, 150.2149200439453, 147.5810089111328, 157.72586059570312, 141.519775390625, 146.76144409179688, 142.7743377685547, 159.87709045410156, 173.76075744628906, 145.61489868164062, 157.43272399902344, 138.87413024902344, 142.043212890625, 156.00039672851562, 151.99139404296875, 153.26287841796875, 153.92393493652344, 176.95742797851562, 140.74777221679688, 157.04075622558594, 145.801025390625, 139.25115966796875, 143.51907348632812, 153.39659118652344, 159.03585815429688, 148.12803649902344, 143.02743530273438]
+valid_error_rate = [1.2631086724996565, 0.9049824843406677, 0.8738996247053146, 0.8520578233003617, 0.8069766317009925, 0.7681459421515464, 0.766872273027897, 0.7491659426689148, 0.7123492771685124, 0.6871207047700881, 0.6942619448900224, 0.6871486190557479, 0.6655759500265122, 0.6348962524533271, 0.620890975087881, 0.6201776292324066, 0.6299488288760186, 0.6159248094409705, 0.5862323707044125, 0.627962991863489, 0.5594458154737949, 0.593076811954379, 0.589563570290804, 0.5691290779411793, 0.6070170089453459, 0.5905831027179957, 0.5695668856054544, 0.5660287208855153, 0.5677807168364525, 0.5521207180321216, 0.5663520123064518, 0.5586509834080935, 0.5514402708262205, 0.5534750644303859, 0.5422407572418452, 0.5396684825308621, 0.5488098974972963, 0.5643667361587286, 0.545242833584547, 0.5254568337388337, 0.5597240672558547, 0.5199276773482561, 0.520817144818604, 0.5169221287369727, 0.5302750275880098, 0.5289107389003038, 0.522408181130886, 0.5169573311954736, 0.4934916146248579, 0.5301236988827587, 0.498966355279088, 0.5238550244271756, 0.5258710251599551, 0.5114895230084657, 0.5084134049005806, 0.5150075511857868, 0.5278118780627847, 0.5095432948619127, 0.4873661266863346, 0.5116823883354664, 0.51284998396039, 0.48653117391839623, 0.48924323385208845, 0.5343654067665338, 0.4944168768525124, 0.5068075152076781, 0.5128700341209769, 0.4751329269856215, 0.49316138063371184, 0.5400419630259276, 0.491230521723628, 0.5007935844287277, 0.4912514726743102, 0.5000968825370073, 0.4947881328389048, 0.5118980471640825, 0.48360401929914953, 0.5234760774672031, 0.49938904367387293, 0.47671538335829977, 0.4976945612579584, 0.4618954054489731, 0.4747857638187707, 0.47373887019604444, 0.49371623235940937, 0.4931437728404998, 0.5230170909538865, 0.4664031620025635, 0.4814914083182812, 0.5132393276244402, 0.48357627378404144, 0.47624510475248094, 0.5292552447021007, 0.5305621960163116, 0.4725723287425936, 0.4878924035653472, 0.4904125231653452, 0.5032274387106299, 0.47158222571015357, 0.4531631511747837, 0.48311221682280303, 0.5060078546404838, 0.48435146336257456, 0.5409567308723926, 0.4567420070692897, 0.4623193391561508, 0.4825072743743658, 0.4845527048557997, 0.47439751113951206, 0.4572945342361927, 0.4623396928608418, 0.46393002089113, 0.4915669990628958, 0.5063451097272338, 0.4785871240794659, 0.4636869314834476, 0.4507933519780636, 0.4380083803758025, 0.4489776850789785, 0.4674644271954894, 0.509185853473842, 0.48352455613017076, 0.5095404759347439, 0.610230032503605, 0.4662731768861413, 0.4730758576318622, 0.48341961322724825, 0.4860790433138609, 0.46840287341177467, 0.5001271432191133, 0.5305484683215618, 0.4617945815399289, 0.46642581181228165, 0.5311559997946024, 0.45677104163914917, 0.48823492068797353, 0.5132545208930969, 0.45595704911649226, 0.5038564239367843, 0.5027258859947323, 0.4980815825462342, 0.5182936546057463, 0.5535126847475766, 0.4707693644203245, 0.44122700073570015, 0.46331854020804164, 0.4779908500313759, 0.47446214014291765, 0.5061822877563535, 0.4630262134373188, 0.4664954633265733, 0.4644186313264072, 0.5117025197669863, 0.5258631027042865, 0.4724766698926687, 0.5154936393871903, 0.44895674090832466, 0.4633070482164621, 0.5003406125605107, 0.4815749708041549, 0.48722364073246716, 0.4945867823511362, 0.5563696938306093, 0.4610647192522883, 0.49441255182772875, 0.46562350630760185, 0.4460823050700128, 0.46256216906011105, 0.4789765599220991, 0.5049631608277558, 0.4614690849483013, 0.4679197465628386]
+
+train_x = numpy.array(train_x)
+train_cost = numpy.array(train_cost)
+
+train_x = train_x[::5][:150]
+train_cost = sum(train_cost[i::5][:150] for i in range(5)) / 5.
+
+print train_x.shape
+print train_cost.shape
+
+#plt.plot(train_x, train_cost, label='train cost')
+#plt.plot(valid_x, valid_cost, label='valid cost')
+#plt.legend()
+#plt.show()
+
+plt.plot(valid_x, valid_error_rate, label='valid error rate')
+plt.legend()
+plt.show()
diff --git a/Report/mila.png b/Report/mila.png
new file mode 100644
index 0000000..5e6d2cf
--- /dev/null
+++ b/Report/mila.png
Binary files differ
diff --git a/Report/pouet_timit_ER.png b/Report/pouet_timit_ER.png
new file mode 100644
index 0000000..9dd3e16
--- /dev/null
+++ b/Report/pouet_timit_ER.png
Binary files differ
diff --git a/Report/pouet_timit_cost.png b/Report/pouet_timit_cost.png
new file mode 100644
index 0000000..b94f906
--- /dev/null
+++ b/Report/pouet_timit_cost.png
Binary files differ
diff --git a/ctc.py b/ctc.py
index 734e354..540485a 100644
--- a/ctc.py
+++ b/ctc.py
@@ -73,12 +73,77 @@ class CTC(Brick):
sequences=[probs, probs_mask],
outputs_info=[alpha0, c0])
- prob = tensor.log(c).sum(axis=0) + tensor.log(alpha[-1][tensor.arange(B), 2*l_len.astype('int32')-1]
- + alpha[-1][tensor.arange(B), 2*l_len.astype('int32')])
+ # c = theano.printing.Print('c')(c)
+ last_alpha = alpha[-1]
+ # last_alpha = theano.printing.Print('a-1')(last_alpha)
+
+ prob = tensor.log(c).sum(axis=0) + tensor.log(last_alpha[tensor.arange(B), 2*l_len.astype('int32')-1]
+ + last_alpha[tensor.arange(B), 2*l_len.astype('int32')]
+ + 1e-30)
# return the log probability of the labellings
return -prob
+ def apply_log_domain(self, l, probs, l_len=None, probs_mask=None):
+ # Does the same computation as apply, but alpha is in the log domain
+ # This avoids numerical underflow issues that were not corrected in the previous version.
+
+ def _log(a):
+ return tensor.log(tensor.clip(a, 1e-12, 1e12))
+
+ def _log_add(a, b):
+ maximum = tensor.maximum(a, b)
+ return (maximum + tensor.log1p(tensor.exp(a + b - 2 * maximum)))
+
+ def _log_mul(a, b):
+ return a + b
+
+ # See comments above
+ B = probs.shape[1]
+ C = probs.shape[2]-1
+ L = l.shape[0]
+ S = 2*L+1
+
+ l_blk = C * tensor.ones((S, B), dtype='int32')
+ l_blk = tensor.set_subtensor(l_blk[1::2,:], l)
+ l_blk = l_blk.T # now l_blk is B x S
+
+ alpha0 = tensor.concatenate([ tensor.ones((B, 1)),
+ tensor.zeros((B, S-1))
+ ], axis=1)
+ alpha0 = _log(alpha0)
+
+ l_blk_2 = tensor.concatenate([-tensor.ones((B,2)), l_blk[:,:-2]], axis=1)
+ l_case2 = tensor.neq(l_blk, C) * tensor.neq(l_blk, l_blk_2)
+
+ def recursion(p, p_mask, prev_alpha):
+ prev_alpha_1 = tensor.concatenate([tensor.zeros((B,1)),prev_alpha[:,:-1]], axis=1)
+ prev_alpha_2 = tensor.concatenate([tensor.zeros((B,2)),prev_alpha[:,:-2]], axis=1)
+
+ alpha_bar1 = tensor.set_subtensor(prev_alpha[:,1:], _log_add(prev_alpha[:,1:],prev_alpha[:,:-1]))
+ alpha_bar2 = tensor.set_subtensor(alpha_bar1[:,2:], _log_add(alpha_bar1[:,2:],prev_alpha[:,:-2]))
+
+ alpha_bar = tensor.switch(l_case2, alpha_bar2, alpha_bar1)
+
+ probs = _log(p[tensor.arange(B)[:,None].repeat(S,axis=1).flatten(), l_blk.flatten()].reshape((B,S)))
+ next_alpha = _log_mul(alpha_bar, probs)
+ next_alpha = tensor.switch(p_mask[:,None], next_alpha, prev_alpha)
+
+ return next_alpha
+
+ alpha, _ = scan(fn=recursion,
+ sequences=[probs, probs_mask],
+ outputs_info=[alpha0])
+
+ last_alpha = alpha[-1]
+ # last_alpha = theano.printing.Print('a-1')(last_alpha)
+
+ prob = _log_add(last_alpha[tensor.arange(B), 2*l_len.astype('int32')-1],
+ last_alpha[tensor.arange(B), 2*l_len.astype('int32')])
+
+ # return the negative log probability of the labellings
+ return -prob
+
def best_path_decoding(self, probs, probs_mask=None):
# probs is T x B x C+1
diff --git a/dummy_dataset.py b/dummy_dataset.py
index a65a946..5053c5a 100644
--- a/dummy_dataset.py
+++ b/dummy_dataset.py
@@ -1,4 +1,3 @@
-
import logging
import random
import numpy
diff --git a/edit_distance.py b/edit_distance.py
index d76cc00..6c118e8 100644
--- a/edit_distance.py
+++ b/edit_distance.py
@@ -8,6 +8,10 @@ def batch_edit_distance(a, a_len, b, b_len):
B = a.shape[0]
assert b.shape[0] == B
+ for i in range(B):
+ print "A:", a[i, :a_len[i]]
+ print "B:", b[i, :b_len[i]]
+
q = max(a.shape[1], b.shape[1]) * numpy.ones((B, a.shape[1]+1, b.shape[1]+1), dtype='int32')
q[:, 0, 0] = 0
diff --git a/ext_param_info.py b/ext_param_info.py
new file mode 100644
index 0000000..a60f9d7
--- /dev/null
+++ b/ext_param_info.py
@@ -0,0 +1,24 @@
+import logging
+
+import numpy
+
+import cPickle
+
+from blocks.extensions import SimpleExtension
+
+logging.basicConfig(level='INFO')
+logger = logging.getLogger('extensions.ParamInfo')
+
+class ParamInfo(SimpleExtension):
+ def __init__(self, model, **kwargs):
+ super(ParamInfo, self).__init__(**kwargs)
+
+ self.model = model
+
+ def do(self, which_callback, *args):
+ print("---- PARAMETER INFO ----")
+ print("\tmin\tmax\tmean\tvar\tdim\t\tname")
+ for k, v in self.model.get_parameter_values().iteritems():
+ print("\t%.4f\t%.4f\t%.4f\t%.4f\t%13s\t%s"%
+ (v.min(), v.max(), v.mean(), ((v-v.mean())**2).mean(), 'x'.join([repr(x) for x in v.shape]), k))
+
diff --git a/main.py b/main_dummy_dataset.py
index e505348..9240358 100644..100755
--- a/main.py
+++ b/main_dummy_dataset.py
@@ -1,3 +1,5 @@
+#!/usr/bin/env python
+
import theano
import numpy
from theano import tensor
@@ -19,23 +21,25 @@ from blocks.graph import ComputationGraph
from dummy_dataset import setup_datastream
from edit_distance import batch_edit_distance
+from blocks.extras.extensions.plot import Plot
floatX = theano.config.floatX
n_epochs = 10000
num_input_classes = 5
-h_dim = 20
-rec_dim = 20
+h_dim = 40
+rec_dim = 40
num_output_classes = 4
-print('Building model ...')
+print('Building model ...') # ----------- THE MODEL --------------------------
inputt = tensor.lmatrix('input').T
input_mask = tensor.matrix('input_mask').T
y = tensor.lmatrix('output').T
y_mask = tensor.matrix('output_mask').T
+y_len = y_mask.sum(axis=0)
# inputt : T x B
# input_mask : T x B
# y : L x B
@@ -50,7 +54,7 @@ h = input_to_h.apply(inputt)
pre_lstm = Linear(input_dim=h_dim, output_dim=4*rec_dim, name='LSTM_linear')
lstm = LSTM(activation=Tanh(),
dim=rec_dim, name="rnn")
-rnn_out, _ = lstm.apply(pre_lstm.apply(h))
+rnn_out, _ = lstm.apply(pre_lstm.apply(h), mask=input_mask)
# Linear bricks out
rec_to_o = Linear(name='rec_to_o',
@@ -65,21 +69,20 @@ y_hat = tensor.nnet.softmax(
).reshape((y_hat_pre.shape[0], y_hat_pre.shape[1], -1))
y_hat.name = 'y_hat'
-#y_hat = theano.printing.Print('y_hat')(y_hat)
-#y = theano.printing.Print('y')(y)
-#y_mask = theano.printing.Print('y_mask')(y_mask)
-
y_hat_mask = input_mask
# Cost
-y_len = y_mask.sum(axis=0)
-cost = CTC().apply(y, y_hat, y_len, y_hat_mask).mean()
+cost = CTC().apply_log_domain(y, y_hat, y_len, y_hat_mask).mean()
cost.name = 'CTC'
dl, dl_length = CTC().best_path_decoding(y_hat, y_hat_mask)
-edit_distance = batch_edit_distance(dl.T.astype('int32'), dl_length, y.T.astype('int32'), y_len.astype('int32')).mean()
+edit_distances = batch_edit_distance(dl.T.astype('int32'), dl_length, y.T.astype('int32'),
+ y_len.astype('int32'))
+edit_distance = edit_distances.mean()
edit_distance.name = 'edit_distance'
+errors_per_char = (edit_distances / y_len).mean()
+errors_per_char.name = 'errors_per_char'
L = y.shape[0]
B = y.shape[1]
@@ -97,15 +100,15 @@ for brick in [input_to_h, pre_lstm, lstm, rec_to_o]:
brick.biases_init = Constant(0)
brick.initialize()
-print('Bulding DataStream ...')
+print('Bulding DataStream ...') # ---------------------------------------------------
ds, stream = setup_datastream(batch_size=100,
nb_examples=10000, rng_seed=123,
- min_out_len=5, max_out_len=10)
+ min_out_len=5, max_out_len=20)
valid_ds, valid_stream = setup_datastream(batch_size=100,
nb_examples=1000, rng_seed=456,
- min_out_len=5, max_out_len=10)
+ min_out_len=5, max_out_len=20)
-print('Bulding training process...')
+print('Bulding training process...') # ----------------------------------------------
algorithm = GradientDescent(cost=cost,
parameters=ComputationGraph(cost).parameters,
step_rule=CompositeRule([RemoveNotFinite(), AdaDelta()]))
@@ -114,20 +117,27 @@ monitor_cost = TrainingDataMonitoring([cost, error_rate],
prefix="train",
after_epoch=True)
-monitor_valid = DataStreamMonitoring([cost, error_rate, edit_distance],
+monitor_valid = DataStreamMonitoring([cost, error_rate, edit_distance, errors_per_char],
data_stream=valid_stream,
prefix="valid",
after_epoch=True)
+plot = Plot(document='CTC_dummy_dataset_%d_%d'%(h_dim, rec_dim),
+ channels=[['train_CTC', 'valid_CTC'],
+ ['train_error_rate', 'valid_error_rate'],
+ ['valid_edit_distance'],
+ ['valid_errors_per_char']],
+ after_epoch=True)
+
model = Model(cost)
main_loop = MainLoop(data_stream=stream, algorithm=algorithm,
- extensions=[monitor_cost, monitor_valid,
+ extensions=[monitor_cost, monitor_valid, plot,
FinishAfter(after_n_epochs=n_epochs),
Printing()],
model=model)
-print('Starting training ...')
+print('Starting training ...') # ---------------------------------------------------
main_loop.run()
-# vim: set sts=4 ts=4 sw=4 tw=0 et :
+# vim: set sts=4 ts=4 sw=4 tw=0 et:
diff --git a/main_timit.py b/main_timit.py
new file mode 100755
index 0000000..6864d82
--- /dev/null
+++ b/main_timit.py
@@ -0,0 +1,417 @@
+#!/usr/bin/env python
+
+import theano
+import numpy
+from theano import tensor
+
+from blocks.bricks import Linear, Tanh, Rectifier
+from blocks.bricks.conv import Convolutional, MaxPooling
+from blocks.bricks.lookup import LookupTable
+from blocks.bricks.recurrent import SimpleRecurrent, LSTM
+from blocks.initialization import IsotropicGaussian, Constant
+
+from blocks.algorithms import (GradientDescent, Scale, AdaDelta, RemoveNotFinite, RMSProp, BasicMomentum,
+ StepClipping, CompositeRule, Momentum)
+from blocks.graph import ComputationGraph
+from blocks.model import Model
+from blocks.main_loop import MainLoop
+
+from blocks.filter import VariableFilter
+from blocks.roles import WEIGHT, BIAS
+from blocks.graph import ComputationGraph, apply_dropout, apply_noise
+
+from blocks.extensions import ProgressBar
+from blocks.extensions.monitoring import TrainingDataMonitoring, DataStreamMonitoring
+from blocks.extensions import FinishAfter, Printing
+
+from blocks.extras.extensions.plot import Plot
+
+
+from ctc import CTC
+from timit import setup_datastream
+
+from edit_distance import batch_edit_distance
+from ext_param_info import ParamInfo
+
+
+# ==========================================================================================
+# THE HYPERPARAMETERS
+# ==========================================================================================
+
+# Stop after this many epochs
+n_epochs = 10000
+# How often (number of batches) to print / plot
+monitor_freq = 50
+
+sort_batch_count = 50
+batch_size = 100
+
+# The convolutionnal layers. Parameters:
+# nfilter the number of filters
+# filter_size the size of the filters (number of timesteps)
+# stride the stride on which to apply the filter (non-1 stride are not optimized, runs very slowly with current Theano)
+# pool_stride the block size for max pooling
+# normalize do we normalize the values before applying the activation function?
+# activation a brick for the activation function
+# dropout dropout applied after activation function
+# skip do we introduce skip connections from previous layer(s) to next layer(s) ?
+convs = [
+ {'nfilter': 20,
+ 'filter_size': 200,
+ 'stride': 1,
+ 'pool_stride': 10,
+ 'normalize': True,
+ 'activation': Rectifier(name='a0'),
+ 'dropout': 0.0,
+ 'skip': ['min', 'max', 'subsample']},
+ {'nfilter': 20,
+ 'filter_size': 200,
+ 'stride': 1,
+ 'pool_stride': 10,
+ 'normalize': True,
+ 'activation': Rectifier(name='a1'),
+ 'dropout': 0.0,
+ 'skip': ['max']},
+ {'nfilter': 20,
+ 'filter_size': 30,
+ 'stride': 1,
+ 'pool_stride': 2,
+ 'normalize': True,
+ 'activation': Rectifier(name='a2'),
+ 'dropout': 0.0,
+ 'skip': ['max']},
+ {'nfilter': 100,
+ 'filter_size': 20,
+ 'stride': 1,
+ 'pool_stride': 2,
+ 'normalize': True,
+ 'activation': Rectifier(name='a3'),
+ 'dropout': 0.0,
+ 'skip': []},
+]
+
+# recurrent layers. Parameters:
+# type type of the layer (simple, lstm, blstm)
+# dim size of the state
+# normalize do we normalize the values after the RNN ?
+# dropout dropout after the RNN
+# skip do we introduce skip connections from previous layer(s) to next layer(s) ?
+recs = [
+ {'type': 'blstm',
+ 'dim': 50,
+ 'normalize': False,
+ 'dropout': 0.0,
+ 'skip': True},
+ {'type': 'blstm',
+ 'dim': 50,
+ 'normalize': False,
+ 'dropout': 0.0,
+ 'skip': True},
+]
+
+# do we normalize the activations just before the softmax layer ?
+normalize_out = True
+
+# regularization : noise on the weights
+weight_noise = 0.01
+
+# regularization : L2 penalization
+l2_output_bias = 0.
+l2_output_weight = 0.
+l2_all_bias = 0.0
+l2_all_weight = 0.
+
+# number of phonemes in timit, a constant
+num_output_classes = 61
+
+
+# the step rule (uncomment your favorite choice)
+step_rule = CompositeRule([AdaDelta(), RemoveNotFinite()])
+#step_rule = CompositeRule([Momentum(learning_rate=0.00001, momentum=0.99), RemoveNotFinite()])
+#step_rule = CompositeRule([Momentum(learning_rate=0.001, momentum=0.9), RemoveNotFinite()])
+#step_rule = CompositeRule([AdaDelta(), Scale(0.01), RemoveNotFinite()])
+#step_rule = CompositeRule([RMSProp(learning_rate=0.1, decay_rate=0.95),
+# RemoveNotFinite()])
+#step_rule = CompositeRule([RMSProp(learning_rate=0.0001, decay_rate=0.95),
+# BasicMomentum(momentum=0.9),
+# RemoveNotFinite()])
+
+# How the weights are initialized
+weights_init = IsotropicGaussian(0.01)
+biases_init = Constant(0.001)
+
+
+# ==========================================================================================
+# THE MODEL
+# ==========================================================================================
+
+print('Building model ...')
+
+
+# THEANO INPUT VARIABLES
+inputt = tensor.matrix('input')
+input_mask = tensor.matrix('input_mask')
+y = tensor.lmatrix('output').T
+y_mask = tensor.matrix('output_mask').T
+y_len = y_mask.sum(axis=0)
+L = y.shape[0]
+B = y.shape[1]
+# inputt : B x T
+# input_mask : B x T
+# y : L x B
+# y_mask : L x B
+
+# NORMALIZE THE INPUTS
+inputt = inputt / (inputt**2).mean()
+
+dropout_locs = []
+
+# CONVOLUTION LAYERS
+conv_in = inputt[:, None, :, None]
+conv_in_channels = 1
+conv_in_mask = input_mask
+
+cb = []
+for i, p in enumerate(convs):
+ # Convolution bricks
+ conv = Convolutional(filter_size=(p['filter_size'],1),
+ # step=(p['stride'],1),
+ num_filters=p['nfilter'],
+ num_channels=conv_in_channels,
+ batch_size=batch_size,
+ border_mode='valid',
+ tied_biases=True,
+ name='conv%d'%i)
+ cb.append(conv)
+ maxpool = MaxPooling(pooling_size=(p['pool_stride'], 1), name='mp%d'%i)
+
+ conv_out = conv.apply(conv_in)[:, :, ::p['stride'], :]
+ conv_out = maxpool.apply(conv_out)
+ if p['normalize']:
+ conv_out_mean = conv_out.mean(axis=2).mean(axis=0)
+ conv_out_var = ((conv_out - conv_out_mean[None, :, None, :])**2).mean(axis=2).mean(axis=0).sqrt()
+ conv_out = (conv_out - conv_out_mean[None, :, None, :]) / conv_out_var[None, :, None, :]
+ if p['activation'] is not None:
+ conv_out = p['activation'].apply(conv_out)
+ if p['dropout'] > 0:
+ b = [p['activation'] if p['activation'] is not None else conv]
+ dropout_locs.append((VariableFilter(bricks=b, name='output'), p['dropout']))
+ if p['skip'] is not None and len(p['skip'])>0:
+ maxpooladd = MaxPooling(pooling_size=(p['stride']*p['pool_stride'], 1), name='Mp%d'%i)
+ skip = []
+ if 'max' in p['skip']:
+ skip.append(maxpooladd.apply(conv_in)[:, :, :conv_out.shape[2], :])
+ if 'min' in p['skip']:
+ skip.append(maxpooladd.apply(-conv_in)[:, :, :conv_out.shape[2], :])
+ if 'subsample' in p['skip']:
+ skip.append(conv_in[:, :, ::(p['stride']*p['pool_stride']), :][:, :, :conv_out.shape[2], :])
+ conv_out = tensor.concatenate([conv_out] + skip, axis=1)
+ conv_out_channels = p['nfilter'] + len(p['skip']) * conv_in_channels
+ else:
+ conv_out_channels = p['nfilter']
+ conv_out_mask = conv_in_mask[:, ::(p['stride']*p['pool_stride'])][:, :conv_out.shape[2]]
+
+ conv_in = conv_out
+ conv_in_channels = conv_out_channels
+ conv_in_mask = conv_out_mask
+
+# RECURRENT LAYERS
+rec_mask = conv_out_mask.dimshuffle(1, 0)
+rec_in = conv_out[:, :, :, 0].dimshuffle(2, 0, 1)
+rec_in_dim = conv_out_channels
+
+rb = []
+for i, p in enumerate(recs):
+ # RNN bricks
+ if p['type'] == 'lstm':
+ pre_rec = Linear(input_dim=rec_in_dim, output_dim=4*p['dim'], name='rnn_linear%d'%i)
+ rec = LSTM(activation=Tanh(), dim=p['dim'], name="rnn%d"%i)
+ rb = rb + [pre_rec, rec]
+
+ rnn_in = pre_rec.apply(rec_in)
+
+ rec_out, _ = rec.apply(inputs=rnn_in, mask=rec_mask)
+ dropout_b = [rec]
+ rec_out_dim = p['dim']
+ elif p['type'] == 'simple':
+ pre_rec = Linear(input_dim=rec_in_dim, output_dim=p['dim'], name='rnn_linear%d'%i)
+ rec = SimpleRecurrent(activation=Tanh(), dim=p['dim'], name="rnn%d"%i)
+ rb = rb + [pre_rec, rec]
+
+ rnn_in = pre_rec.apply(rec_in)
+
+ rec_out = rec.apply(inputs=rnn_in, mask=rec_mask)
+ dropout_b = [rec]
+ rec_out_dim = p['dim']
+ elif p['type'] == 'blstm':
+ pre_frec = Linear(input_dim=rec_in_dim, output_dim=4*p['dim'], name='frnn_linear%d'%i)
+ pre_brec = Linear(input_dim=rec_in_dim, output_dim=4*p['dim'], name='brnn_linear%d'%i)
+ frec = LSTM(activation=Tanh(), dim=p['dim'], name="frnn%d"%i)
+ brec = LSTM(activation=Tanh(), dim=p['dim'], name="brnn%d"%i)
+ rb = rb + [pre_frec, pre_brec, frec, brec]
+
+ frnn_in = pre_frec.apply(rec_in)
+ frnn_out, _ = frec.apply(inputs=frnn_in, mask=rec_mask)
+ brnn_in = pre_brec.apply(rec_in)
+ brnn_out, _ = brec.apply(inputs=brnn_in, mask=rec_mask)
+
+ rec_out = tensor.concatenate([frnn_out, brnn_out], axis=2)
+ dropout_b = [frec, brec]
+ rec_out_dim = 2*p['dim']
+ else:
+ assert False
+
+ if p['normalize']:
+ rec_out_mean = rec_out.mean(axis=1).mean(axis=0)
+ rec_out_var = ((rec_out - rec_out_mean[None, None, :])**2).mean(axis=1).mean(axis=0).sqrt()
+ rec_out = (rec_out - rec_out_mean[None, None, :]) / rec_out_var[None, None, :]
+ if p['dropout'] > 0:
+ dropout_locs.append((VariableFilter(bricks=dropout_b, name='output'), p['dropout']))
+
+ if p['skip']:
+ rec_out = tensor.concatenate([rec_in, rec_out], axis=2)
+ rec_out_dim = rec_in_dim + rec_out_dim
+
+ rec_in = rec_out
+ rec_in_dim = rec_out_dim
+
+# LINEAR FOR THE OUTPUT
+rec_to_o = Linear(name='rec_to_o',
+ input_dim=rec_out_dim,
+ output_dim=num_output_classes + 1)
+y_hat_pre = rec_to_o.apply(rec_out)
+# y_hat_pre : T x B x C+1
+
+if normalize_out:
+ y_hat_pre_mean = y_hat_pre.mean(axis=1).mean(axis=0)
+ y_hat_pre_var = ((y_hat_pre - y_hat_pre_mean[None, None, :])**2).mean(axis=1).mean(axis=0).sqrt()
+ y_hat_pre = (y_hat_pre - y_hat_pre_mean[None, None, :]) / y_hat_pre_var[None, None, :]
+
+# y_hat : T x B x C+1
+y_hat = tensor.nnet.softmax(
+ y_hat_pre.reshape((-1, num_output_classes + 1))
+).reshape((y_hat_pre.shape[0], y_hat_pre.shape[1], -1))
+y_hat.name = 'y_hat'
+
+y_hat_mask = rec_mask
+
+# CTC COST AND ERROR MEASURE
+cost = CTC().apply_log_domain(y, y_hat, y_len, y_hat_mask).mean()
+cost.name = 'CTC'
+
+dl, dl_length = CTC().best_path_decoding(y_hat, y_hat_mask)
+dl = dl[:L, :]
+dl_length = tensor.minimum(dl_length, L)
+
+edit_distances = batch_edit_distance(dl.T.astype('int32'), dl_length.astype('int32'),
+ y.T.astype('int32'), y_len.astype('int32'))
+edit_distance = edit_distances.mean()
+edit_distance.name = 'edit_distance'
+errors_per_char = (edit_distances / y_len).mean()
+errors_per_char.name = 'errors_per_char'
+
+is_error = tensor.neq(dl, y) * tensor.lt(tensor.arange(L)[:,None], y_len[None,:])
+is_error = tensor.switch(is_error.sum(axis=0), tensor.ones((B,)), tensor.neq(y_len, dl_length))
+
+error_rate = is_error.mean()
+error_rate.name = 'error_rate'
+
+# REGULARIZATION
+cg = ComputationGraph([cost, error_rate])
+if weight_noise > 0:
+ noise_vars = VariableFilter(roles=[WEIGHT])(cg)
+ cg = apply_noise(cg, noise_vars, weight_noise)
+for vfilter, p in dropout_locs:
+ cg = apply_dropout(cg, vfilter(cg), p)
+[cost_reg, error_rate_reg] = cg.outputs
+
+ctc_reg = cost_reg + 1e-24
+ctc_reg.name = 'CTC'
+
+if l2_output_bias > 0:
+ cost_reg += l2_output_bias * sum(x.norm(2) for x in VariableFilter(roles=[BIAS], bricks=[rec_to_o])(cg))
+if l2_output_weight > 0:
+ cost_reg += l2_output_weight * sum(x.norm(2) for x in VariableFilter(roles=[WEIGHT], bricks=[rec_to_o])(cg))
+if l2_all_bias > 0:
+ cost_reg += l2_all_bias * sum(x.norm(2) for x in VariableFilter(roles=[BIAS])(cg))
+if l2_all_weight > 0:
+ cost_reg += l2_all_weight * sum(x.norm(2) for x in VariableFilter(roles=[WEIGHT])(cg))
+cost_reg.name = 'cost'
+
+
+# INITIALIZATION
+for brick in [rec_to_o] + cb + rb:
+ brick.weights_init = weights_init
+ brick.biases_init = biases_init
+ brick.initialize()
+
+
+# ==========================================================================================
+# THE INFRASTRUCTURE
+# ==========================================================================================
+
+# SET UP THE DATASTREAM
+
+print('Bulding DataStream ...')
+ds, stream = setup_datastream('/home/lx.nobackup/datasets/timit/readable',
+ batch_size=batch_size,
+ sort_batch_count=sort_batch_count)
+valid_ds, valid_stream = setup_datastream('/home/lx.nobackup/datasets/timit/readable',
+ batch_size=batch_size,
+ sort_batch_count=sort_batch_count,
+ valid=True)
+
+
+# SET UP THE BLOCKS ALGORITHM WITH EXTENSIONS
+
+print('Bulding training process...')
+algorithm = GradientDescent(cost=cost_reg,
+ parameters=ComputationGraph(cost).parameters,
+ step_rule=step_rule)
+
+monitor_cost = TrainingDataMonitoring([ctc_reg, cost_reg, error_rate_reg],
+ prefix="train",
+ every_n_batches=monitor_freq,
+ after_epoch=False)
+
+monitor_valid = DataStreamMonitoring([cost, error_rate, edit_distance, errors_per_char],
+ data_stream=valid_stream,
+ prefix="valid",
+ after_epoch=True)
+
+plot = Plot(document='CTC_timit_%s%s%s%s_%s'%
+ (repr([p['nfilter'] for p in convs]),
+ repr([p['filter_size'] for p in convs]),
+ repr([p['stride'] for p in convs]),
+ repr([p['pool_stride'] for p in convs]),
+ repr([p['dim'] for p in recs])),
+ channels=[['train_cost', 'train_CTC', 'valid_CTC'],
+ ['train_error_rate', 'valid_error_rate'],
+ ['valid_edit_distance'],
+ ['valid_errors_per_char']],
+ every_n_batches=monitor_freq,
+ after_epoch=True)
+
+model = Model(cost)
+main_loop = MainLoop(data_stream=stream, algorithm=algorithm,
+ extensions=[
+ ProgressBar(),
+
+ monitor_cost, monitor_valid,
+
+ plot,
+ Printing(every_n_batches=monitor_freq, after_epoch=True),
+ ParamInfo(Model([cost]), every_n_batches=monitor_freq),
+
+ FinishAfter(after_n_epochs=n_epochs),
+ ],
+ model=model)
+
+
+# NOW WE FINALLY CAN TRAIN OUR MODEL
+
+print('Starting training ...')
+main_loop.run()
+
+
+# vim: set sts=4 ts=4 sw=4 tw=0 et:
diff --git a/prez/Makefile b/prez/Makefile
new file mode 100644
index 0000000..0f6940d
--- /dev/null
+++ b/prez/Makefile
@@ -0,0 +1,8 @@
+# IMG=azerty1.pdf_tex azerty2.pdf_tex azerty3.pdf_tex
+IMG=
+
+prez.pdf: prez.tex $(IMG)
+ pdflatex prez.tex
+
+%.pdf_tex: %.svg
+ inkscape -z -D --file=$< --export-pdf=$(basename $@).pdf --export-latex
diff --git a/prez/azerty1.png b/prez/azerty1.png
new file mode 100644
index 0000000..9e2e283
--- /dev/null
+++ b/prez/azerty1.png
Binary files differ
diff --git a/prez/azerty1.svg b/prez/azerty1.svg
new file mode 100644
index 0000000..d86e525
--- /dev/null
+++ b/prez/azerty1.svg
@@ -0,0 +1,888 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+ xmlns:dc="http://purl.org/dc/elements/1.1/"
+ xmlns:cc="http://creativecommons.org/ns#"
+ xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
+ xmlns:svg="http://www.w3.org/2000/svg"
+ xmlns="http://www.w3.org/2000/svg"
+ xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+ xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+ width="78.698875mm"
+ height="54.42408mm"
+ viewBox="0 0 278.85428 192.84123"
+ id="svg9352"
+ version="1.1"
+ inkscape:version="0.91 r13725"
+ sodipodi:docname="azerty1.svg">
+ <defs
+ id="defs9354">
+ <clipPath
+ clipPathUnits="userSpaceOnUse"
+ id="clipPath3387">
+ <path
+ d="M 0,0 650,0 650,437 0,437 0,0 Z"
+ id="path3389"
+ inkscape:connector-curvature="0" />
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diff --git a/prez/beamerposter.sty b/prez/beamerposter.sty
new file mode 100644
index 0000000..cbfe229
--- /dev/null
+++ b/prez/beamerposter.sty
@@ -0,0 +1,219 @@
+% Copyright 2007 by
+% Philippe Dreuw <dreuw@cs.rwth-aachen.de> and
+% Thomas Deselaers <deselaers@cs.rwth-aachen.de>
+% Slight modifications made in August 2009 by Nathaniel Johnston (nathaniel@nathanieljohnston.com)
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+%
+% ChangeLog:
+%
+% 1.07 - bugfixed custom size handling, portrait or landscape settings are ignored now
+% 1.06 - added the type1cm package for scalable math fonts
+% 1.05 - added version check for xkeyval package
+% 1.04 - added custom size handling
+% 1.03 - improved predefined size handling
+% 1.02 - minor bugfixes
+% 1.01 - bugfixed size handling
+% 1.00 - first beamerposter release
+%
+\def\beamerposter@version{1.07}
+\def\beamerposter@date{2008/03/11}
+\def\beamerposter@msg{beamerposter: latex-beamer poster extension}
+\typeout{Package: \beamerposter@date. v.\beamerposter@version. \beamerposter@msg}
+
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{beamerposter}[\beamerposter@date. v.\beamerposter@version. \beamerposter@msg]
+\RequirePackage{xkeyval}[2006/11/18]
+\RequirePackage{type1cm} %% get it from ftp://cam.ctan.org/tex-archive/macros/latex/contrib/type1cm.zip
+
+\newif\ifportrait
+\newif\ifcustomsize
+\newif\ifdebug
+
+\DeclareOptionX{size}[a0]{
+ \typeout{beamerposter: checking size input, please wait.}
+ \XKV@cc*+[\val\nr]{#1}{a0b,a0,a1,a2,a3,a4,custom}{%
+ \typeout{beamerposter: the input \val\ \nr\ was correct, we proceed.}
+ \ifcase\nr\relax
+ %a0b
+ \setlength{\paperheight}{119cm}
+ \setlength{\paperwidth}{88cm}
+ \setlength{\textheight}{116cm}
+ \setlength{\textwidth}{88cm}
+ \or
+ %a0
+ \setlength{\paperheight}{118.82cm}
+ \setlength{\paperwidth}{83.96cm}
+ \setlength{\textheight}{117.82cm}
+ \setlength{\textwidth}{82.96cm}
+ \or
+ %a1
+ \setlength{\paperheight}{83.96cm}
+ \setlength{\paperwidth}{59.4cm}
+ \setlength{\textheight}{82.96cm}
+ \setlength{\textwidth}{58.4cm}
+ \or
+ %a2
+ \setlength{\paperheight}{59.4cm}
+ \setlength{\paperwidth}{41.98cm}
+ \setlength{\textheight}{58.4cm}
+ \setlength{\textwidth}{40.98cm}
+ \or
+ %a3
+ \setlength{\paperwidth}{41.98cm}
+ \setlength{\paperheight}{29.7cm}
+ \setlength{\textwidth}{40.98cm}
+ \setlength{\textheight}{28.7cm}
+ \or
+ %a4
+ \setlength{\paperheight}{29.7cm}
+ \setlength{\paperwidth}{21.0cm}
+ \setlength{\textheight}{28.7cm}
+ \setlength{\textwidth}{20.0cm}
+ \or
+ \customsizetrue
+ \fi
+ }{%
+ \PackageWarning{beamerposter}{the input \val\ was incorrect and was ignored.}
+ }%
+ \typeout{beamerposter: finished size input check.}
+}
+\DeclareOptionX{orientation}[portrait]{
+ \typeout{beamerposter: checking orientation input, please wait.}
+ \XKV@cc*+[\val\nr]{#1}{portrait,landscape}{%
+ \typeout{beamerposter: the input \val\ \nr\ was correct, we proceed.}
+ \ifcase\nr\relax
+ \portraittrue
+ \or
+ \portraitfalse
+ \fi
+ }{%
+ \PackageWarning{beamerposter}{the input \val\ was incorrect and was ignored.}
+ }%
+ \typeout{beamerposter: finished orientation check.}
+}
+\DeclareOptionX{scale}[1.0]{\edef\myfontscale{#1}\typeout{beamerposter: myfontscale=\myfontscale}}
+\DeclareOptionX{width}{\edef\customwidth{#1}\typeout{beamerposter: custom poster width=\customwidth}}
+\DeclareOptionX{height}{\edef\customheight{#1}\typeout{beamerposter: custom poster height=\customheight}}
+\DeclareOptionX{debug}{\typeout{beamerposter: enabled debug mode}\debugtrue}
+\DeclareOptionX*{\PackageWarning{beamerposter}{Unknown option ignored: \CurrentOption}}
+%\DeclareOptionX*{\PassOptionsToClass{\CurrentOption}{beamer}}
+\ExecuteOptionsX{size=a0,scale=1.0}
+\ProcessOptionsX\relax
+
+\ifdebug
+ \RequirePackage[debug]{fp}
+\else
+ \RequirePackage{fp}
+\fi
+
+%% swap sizes for portrait orientation
+\ifportrait
+ \newdimen\tmp
+ \setlength{\tmp}{\paperwidth}
+ \setlength{\paperwidth}{\paperheight}
+ \setlength{\paperheight}{\tmp}
+ \setlength{\tmp}{\textwidth}
+ \setlength{\textwidth}{\textheight}
+ \setlength{\textheight}{\tmp}
+\else\relax
+\fi
+
+%% overwrite dimensions if custom size
+\ifcustomsize
+ \setlength{\paperwidth}{\customwidth cm}
+ \setlength{\paperheight}{\customheight cm}
+ \FPupn{\resulttextwidth}{1 customwidth -}
+ \FPupn{\resulttextheight}{1 customheight -}
+ \setlength{\textwidth}{\resulttextwidth cm}
+ \setlength{\textheight}{\resulttextheight cm}
+\fi
+
+%% Setting proper dimensions for a DIN A0 printer
+\setlength{\headheight}{0 cm}
+\setlength{\headsep}{0 cm}
+\setlength{\topmargin}{-12.7 mm} % -1in +1.47cm
+\setlength{\oddsidemargin}{-25.4 mm} % -1in +0.4cm
+
+%% For the page layout
+\ifdebug
+\typeout{beamerposter: paperwidth=\the\paperwidth, paperheight=\the\paperheight}
+\typeout{beamerposter: textwidth=\the\textwidth, textwidth=\the\textheight}
+\fi
+\geometry{
+ paperwidth=\the\paperwidth,
+ paperheight=\the\paperheight,
+ hmargin=1cm,%
+ vmargin=0cm,%
+ head=0.5cm, %
+ headsep=0pt,%
+ foot=0.5cm %
+}
+
+%% scalable vector fonts
+\edef\fontSizeX{14.4}\edef\fontSizeY{18}
+\FPupn{\resultscriptsizeX}{myfontscale fontSizeX * 2 round}
+\FPupn{\resultscriptsizeY}{myfontscale fontSizeY * 2 round}
+\renewcommand*{\tiny}{\fontsize{\resultscriptsizeX}{\resultscriptsizeY}\selectfont}
+
+\edef\fontSizeX{17.28}\edef\fontSizeY{22}
+\FPupn{\resultfootnotesizeX}{myfontscale fontSizeX * 2 round}
+\FPupn{\resultfootnotesizeY}{myfontscale fontSizeY * 2 round}
+\renewcommand*{\scriptsize}{\fontsize{\resultfootnotesizeX}{\resultfootnotesizeY}\selectfont}
+
+\edef\fontSizeX{20.74}\edef\fontSizeY{25}
+\FPupn{\resultsmallX}{myfontscale fontSizeX * 2 round}
+\FPupn{\resultsmallY}{myfontscale fontSizeY * 2 round}
+\renewcommand*{\footnotesize}{\fontsize{\resultsmallX}{\resultsmallY}\selectfont}
+
+\edef\fontSizeX{24.88}\edef\fontSizeY{30}
+\FPupn{\resultnormalsizeX}{myfontscale fontSizeX * 2 round}
+\FPupn{\resultnormalsizeY}{myfontscale fontSizeY * 2 round}
+\renewcommand*{\small}{\fontsize{\resultnormalsizeX}{\resultnormalsizeY}\selectfont}
+
+\edef\fontSizeX{29.86}\edef\fontSizeY{37}
+\FPupn{\resultlargeX}{myfontscale fontSizeX * 2 round}
+\FPupn{\resultlargeY}{myfontscale fontSizeY * 2 round}
+\renewcommand*{\normalsize}{\fontsize{\resultlargeX}{\resultlargeY}\selectfont}
+
+\edef\fontSizeX{35.83}\edef\fontSizeY{45}
+\FPupn{\resultLargeX}{myfontscale fontSizeX * 2 round}
+\FPupn{\resultLargeY}{myfontscale fontSizeY * 2 round}
+\renewcommand*{\large}{\fontsize{\resultLargeX}{\resultLargeY}\selectfont}
+
+\edef\fontSizeX{43}\edef\fontSizeY{54}
+\FPupn{\resultLARGEX}{myfontscale fontSizeX * 2 round}
+\FPupn{\resultLARGEY}{myfontscale fontSizeY * 2 round}
+\renewcommand*{\Large}{\fontsize{\resultLARGEX}{\resultLARGEY}\selectfont}
+
+\edef\fontSizeX{51.6}\edef\fontSizeY{64}
+\FPupn{\resulthugeX}{myfontscale fontSizeX * 2 round}
+\FPupn{\resulthugeY}{myfontscale fontSizeY * 2 round}
+\renewcommand*{\LARGE}{\fontsize{\resulthugeX}{\resulthugeY}\selectfont}
+
+\edef\fontSizeX{61.92}\edef\fontSizeY{77}
+\FPupn{\resultHugeX}{myfontscale fontSizeX * 2 round}
+\FPupn{\resultHugeY}{myfontscale fontSizeY * 2 round}
+\renewcommand*{\huge}{\fontsize{\resultHugeX}{\resultHugeY}\selectfont}
+
+\edef\fontSizeX{74.3}\edef\fontSizeY{93}
+\FPupn{\resultveryHugeX}{myfontscale fontSizeX * 2 round}
+\FPupn{\resultveryHugeY}{myfontscale fontSizeY * 2 round}
+\renewcommand*{\Huge}{\fontsize{\resultveryHugeX}{\resultveryHugeY}\selectfont}
+
+\edef\fontSizeX{80.3}\edef\fontSizeY{101}
+\FPupn{\resultVeryHugeX}{myfontscale fontSizeX * 2 round}
+\FPupn{\resultVeryHugeY}{myfontscale fontSizeY * 2 round}
+\newcommand*{\veryHuge}{\fontsize{\resultVeryHugeX}{\resultVeryHugeY}\selectfont}
+
+\edef\fontSizeX{107}\edef\fontSizeY{134}
+\FPupn{\resultVERYHugeX}{myfontscale fontSizeX * 2 round}
+\FPupn{\resultVERYHugeY}{myfontscale fontSizeY *