From 73716eb0bda9b305999d2a1f4b0eb7ae2dddaaee Mon Sep 17 00:00:00 2001 From: Louis Lacoste Date: Wed, 22 May 2024 15:16:38 +0200 Subject: [PATCH] =?UTF-8?q?Int=C3=A9grations=20derniers=20retours?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- presentation.pdf | Bin 831075 -> 740845 bytes presentation.tex | 2 +- principal.tex | 91 +++++++++++++++++++++++++++++------------------ 3 files changed, 57 insertions(+), 36 deletions(-) diff --git a/presentation.pdf b/presentation.pdf index 47dae64eadc232ac5e7f29365324016a2e90f9ea..5c48ff7e6422c47d6b9a8c3175eba249c67c25b9 100644 GIT binary patch delta 153444 zcmY)VV{~Rs*9DBmwr$(CZQHhe#r753cG9u!4!dKsW21x9_w$}_obUYDRco(RqxO$l zV^_^NR~>G#UF9-1?ZShy1NY$R0rJj=Tqym2wQsfXt8n@yQYN;oxE-57xm^A1{BNfd z%~!n8gcqK7Z)R^PXOy@l7s*&jR0-xD{*F^P4xK18#f6+Dph>|VqRT)mYq?h1SKy76 zw>Yqydxu?+mwx-DAplbp;I1RAB@%E-_+r>7fEZg~OM1EfVgBb;buBsEQi15{l{6E3WJc#*cAZtlTUfz7 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% Pour @@ -513,10 +530,9 @@ \item Développement d'une méthode de partitionnement d'une large collection de réseaux basée sur la maximisation d'un critère de sélection de modèle. - \item Écriture du code s'intégrant au package\footnote{ - \scalebox{0.8}{\faGithub - \url{https://github.com/Chabert-Liddell/colSBM}}} - écrit par Saint-Clair Chabert-Liddell. + \item Implémentation du code intégrée au package\footnote{ + \scalebox{0.8}{\faGithub~ + \url{https://github.com/Chabert-Liddell/colSBM}}} \emph{colSBM}. \note[item]{Pendant mon stage actuel} \end{itemize} @@ -546,11 +562,11 @@ \begin{center} \begin{table} \tiny - \begin{tabular}{ |c|c|c|c|c|c| } + \begin{tabular}{ |c|c|c|c|c|c|c| } \hline - \thead{N°de \\collection} & 1 & 2 & 3 & 4 & 5 \\ + \thead{N°de \\collection} & 1 & 2 & 3 & 4 & 5 & \thead{Total} \\ \hline - \thead{Nombre de \\réseaux} & 38 & 45 & 1 & 20 & 19 \\ + \thead{Nombre de \\réseaux} & 38 & 45 & 1 & 20 & 19 & 123\\ \hline \end{tabular} \end{table} @@ -602,7 +618,7 @@ % % \end{tikzpicture} -\begin{frame}{Introduction aux \emph{Graph Neural Networks}} +\begin{frame}{\emph{Graph Neural Networks} et \emph{Variational AutoEncoder}} \begin{figure} \centering @@ -653,24 +669,21 @@ \cite{kipfSemiSupervisedClassificationGraph2017} résout ce problème. \item Utiliser des \emph{Variational AutoEncoder} de \cite{kingmaAutoEncodingVariationalBayes2022c} et de - \cite{kipfVariationalGraphAutoEncoders2016} pour projection dans un - espace latent. + \cite{kipfVariationalGraphAutoEncoders2016} pour projection des + n\oe uds dans un espace latent. \item Explorer le \emph{Deep Latent Space Model} de~\cite{yangDeepLatentSpace2024} \end{itemize} \end{frame} -\begin{frame}{Idées à explorer} +\begin{frame}{Idées à explorer pour la comparaison de réseaux} \begin{itemize} \item \emph{Embedding} commun des n\oe uds des réseaux à comparer sur un même espace latent. Puis comparaison des distributions ainsi obtenues. \item Encodeurs différents mais décodeurs communs pour comparer les représentations obtenues \end{itemize} - - Ces pistes seront approfondies durant ce travail de thèse. - \end{frame} % \begin{frame}[allowframebreaks]{\emph{Graph Neural Networks}} @@ -708,35 +721,36 @@ \label{sec:axe-3} \begin{frame} \begin{columns} - \begin{column}{0.4\textwidth} + \begin{column}{0.6\textwidth} \begin{table}[t] \centering - \begin{tabularx}{\textwidth}{cccc} + \begin{tabular}{cccc} \hline - & \multicolumn{3}{|c|}{OTU} \\ + & $OTU_1$ & \dots & $OTU_p$ \\ \hline - & $X_{1,1}$ & \dots & $X_{1,p}$ \\ - & \vdots & & \vdots \\ - & $X_{n,1}$ & \dots & $X_{n,p}$ \\ + Éch. 1 & $X_{1,1}$ & \dots & $X_{1,p} = 500$ \\ + \vdots& \vdots & & \vdots \\ + Éch. n& $X_{n,1} = 10$ & \dots & $X_{n,p}$ \\ \hline - \end{tabularx} + \end{tabular} \caption{Table d'OTU synthétique} \label{tab:otu-synthetiques} \end{table} \end{column} - \begin{column}{0.6\textwidth} + \begin{column}{0.4\textwidth} \begin{figure}[t] \centering - \includegraphics[scale=0.25]{img/plot_model_function_eps.png} - \caption{Réseau inféré} + TODO Ici une image avec des liens de probas proches pour faire commentaire + % \includegraphics[scale=0.25]{img/plot_model_function_eps.png} + \caption{Réseau de co-occurence inféré} \label{fig:otu-synthetiques} \end{figure} \end{column} \end{columns}. \begin{itemize} - \item Avènement des techniques de séquençage et donc des + \item Avènement des techniques de séquençage et donc disponibilité des OTU\footnote{Unité Taxonomique Opérationnelle} \item Incertitude d'inférence disponible mais négligée par la suite, important pour les réseaux microbiens seulement inférés @@ -746,13 +760,20 @@ \end{frame} -\begin{frame}{Modèle emboîté} - \begin{block}{Idée} +\begin{frame}{Idées à explorer} + \begin{itemize} + \item Avec $M$ tableaux d'OTU, on peut supposer : + \begin{block}{Modèle hiérarchique} \begin{align*} - X_1^m, \dots, X_p^m & \rightsquigarrow \mathcal{M}(Y^m) \\ - Y^m & \rightsquigarrow LBM(\pi, \rho, \alpha) + \forall m \in [\![1,M]\!],~& X_1^m, \dots, X_p^m \rightsquigarrow \mathcal{M}(Y^m)& \\ + & Y^m \rightsquigarrow LBM(\pi, \rho, \alpha) \text{ ou } Y^m \rightsquigarrow DSLM(f_D, f_E) & \end{align*} \end{block} + \item Formaliser une méthode pour déterminer si le changement d'unité + taxonomique change la structure + \item Réussir à mettre en évidence des bactéries aux rôles fonctionnels + proches selon des conditions d'expériences différentes + \end{itemize} \end{frame} \section{Organisation de la thèse} \label{sec:organisation-these}