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@ -224,7 +224,7 @@ window.Quarto = {
<li><a href="#journaux" id="toc-journaux" class="nav-link" data-scroll-target="#journaux"><span class="header-section-number">2</span> Journaux</a></li>
</ul>
</nav>
<h5 class="quarto-listing-category-title">Catégories</h5><div class="quarto-listing-category category-default"><div class="category" data-category="">Tous <span class="quarto-category-count">(30)</span></div><div class="category" data-category="Y29sQmlTQk0=">colBiSBM <span class="quarto-category-count">(28)</span></div><div class="category" data-category="Y292YXJpYWJsZXM=">covariables <span class="quarto-category-count">(1)</span></div><div class="category" data-category="R05O">GNN <span class="quarto-category-count">(21)</span></div><div class="category" data-category="Z3JhcGhlcw==">graphes <span class="quarto-category-count">(2)</span></div><div class="category" data-category="aWRlbnRpZmlhYmlsaXQlQzMlQTk=">identifiabilité <span class="quarto-category-count">(1)</span></div><div class="category" data-category="aW5mJUMzJUE5cmVuY2U=">inférence <span class="quarto-category-count">(23)</span></div><div class="category" data-category="bGJt">lbm <span class="quarto-category-count">(2)</span></div><div class="category" data-category="cGh5bG9nJUMzJUE5bmll">phylogénie <span class="quarto-category-count">(2)</span></div><div class="category" data-category="c2Jt">sbm <span class="quarto-category-count">(2)</span></div></div></div>
<h5 class="quarto-listing-category-title">Catégories</h5><div class="quarto-listing-category category-default"><div class="category" data-category="">Tous <span class="quarto-category-count">(31)</span></div><div class="category" data-category="YWdyaWNvbGU=">agricole <span class="quarto-category-count">(1)</span></div><div class="category" data-category="YXBwbGljYXRpb24=">application <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Y29sQmlTQk0=">colBiSBM <span class="quarto-category-count">(28)</span></div><div class="category" data-category="Y29sbGVjdGlvbg==">collection <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Y29udm9sdXRpb24=">convolution <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Y292YXJpYWJsZXM=">covariables <span class="quarto-category-count">(1)</span></div><div class="category" data-category="R05O">GNN <span class="quarto-category-count">(21)</span></div><div class="category" data-category="Z3JhcGhl">graphe <span class="quarto-category-count">(1)</span></div><div class="category" data-category="Z3JhcGhlcw==">graphes <span class="quarto-category-count">(2)</span></div><div class="category" data-category="aWRlbnRpZmlhYmlsaXQlQzMlQTk=">identifiabilité <span class="quarto-category-count">(1)</span></div><div class="category" data-category="aW5mJUMzJUE5cmVuY2U=">inférence <span class="quarto-category-count">(23)</span></div><div class="category" data-category="bGJt">lbm <span class="quarto-category-count">(2)</span></div><div class="category" data-category="bWFjaGluZSUyMGxlYXJuaW5n">machine learning <span class="quarto-category-count">(1)</span></div><div class="category" data-category="cGh5bG9nJUMzJUE5bmll">phylogénie <span class="quarto-category-count">(1)</span></div><div class="category" data-category="c2Jt">sbm <span class="quarto-category-count">(2)</span></div><div class="category" data-category="dmFl">vae <span class="quarto-category-count">(1)</span></div></div></div>
<!-- main -->
<main class="content" id="quarto-document-content">
@ -293,7 +293,7 @@ Agenda
<h2 data-number="1" class="anchored" data-anchor-id="base-de-connaissances-et-trucs-en-vrac"><span class="header-section-number">1</span> Base de connaissances et trucs en vrac</h2>
<div id="listing-knowledge-base" class="quarto-listing quarto-listing-container-default">
<div class="list quarto-listing-default">
<div class="quarto-post image-right" data-index="0" data-categories="cGh5bG9nJUMzJUE5bmllJTJDZ3JhcGhlcyUyQ2xibSUyQ3NibQ==" data-listing-date-sort="1778162545000" data-listing-file-modified-sort="1778162545071" data-listing-date-modified-sort="1778162545000" data-listing-reading-time-sort="2" data-listing-word-count-sort="244">
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<div class="thumbnail"><a href="./knowledge_base/colsbm_application_reseaux_et_agri.html" class="no-external">
<div class="listing-item-img-placeholder card-img-top" >&nbsp;</div>
@ -305,9 +305,13 @@ Agenda
</h3>
<div class="listing-categories">
<div class="listing-category" onclick="window.quartoListingCategory('cGh5bG9nJUMzJUE5bmll'); return false;">phylogénie</div>
<div class="listing-category" onclick="window.quartoListingCategory('YXBwbGljYXRpb24='); return false;">application</div>
<div class="listing-category" onclick="window.quartoListingCategory('Z3JhcGhlcw=='); return false;">graphes</div>
<div class="listing-category" onclick="window.quartoListingCategory('YWdyaWNvbGU='); return false;">agricole</div>
<div class="listing-category" onclick="window.quartoListingCategory('Z3JhcGhl'); return false;">graphe</div>
<div class="listing-category" onclick="window.quartoListingCategory('Y29sbGVjdGlvbg=='); return false;">collection</div>
<div class="listing-category" onclick="window.quartoListingCategory('bGJt'); return false;">lbm</div>
@ -329,7 +333,43 @@ Louis Lacoste
</a>
</div>
</div>
<div class="quarto-post image-right" data-index="1" data-categories="cGh5bG9nJUMzJUE5bmllJTJDZ3JhcGhlcyUyQ2xibSUyQ3NibQ==" data-listing-date-sort="1778162545000" data-listing-file-modified-sort="1778162545071" data-listing-date-modified-sort="1778162545000" data-listing-reading-time-sort="7" data-listing-word-count-sort="1395">
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<div class="thumbnail"><a href="./knowledge_base/vae_wasserstein_gromov.html" class="no-external">
<div class="listing-item-img-placeholder card-img-top" >&nbsp;</div>
</a></div>
<div class="body">
<h3 class="no-anchor listing-title">
<a href="./knowledge_base/vae_wasserstein_gromov.html" class="no-external">Variational Graph AutoEncoder with Wasserstein</a>
</h3>
<div class="listing-categories">
<div class="listing-category" onclick="window.quartoListingCategory('Y29udm9sdXRpb24='); return false;">convolution</div>
<div class="listing-category" onclick="window.quartoListingCategory('bWFjaGluZSUyMGxlYXJuaW5n'); return false;">machine learning</div>
<div class="listing-category" onclick="window.quartoListingCategory('dmFl'); return false;">vae</div>
<div class="listing-category" onclick="window.quartoListingCategory('Z3JhcGhlcw=='); return false;">graphes</div>
</div>
<div class="delink listing-description"><a href="./knowledge_base/vae_wasserstein_gromov.html" class="no-external">
Suite à la discussion avec Julian jinscris ce que lon sest dit.
</a></div>
</div>
<div class="metadata">
<a href="./knowledge_base/vae_wasserstein_gromov.html" class="no-external">
<div class="listing-date">
7 mai 2026
</div>
<div class="listing-author">
Louis Lacoste
</div>
</a>
</div>
</div>
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<div class="thumbnail"><a href="./knowledge_base/projets-phylo.html" class="no-external">
<div class="listing-item-img-placeholder card-img-top" >&nbsp;</div>
@ -373,7 +413,7 @@ Louis Lacoste
<h2 data-number="2" class="anchored" data-anchor-id="journaux"><span class="header-section-number">2</span> Journaux</h2>
<div id="listing-journal-these" class="quarto-listing quarto-listing-container-default">
<div class="list quarto-listing-default">
<div class="quarto-post image-right" data-index="0" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1773619200000" data-listing-file-modified-sort="1778162545096" data-listing-date-modified-sort="1778162545000" data-listing-reading-time-sort="7" data-listing-word-count-sort="1318">
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<div class="thumbnail"><a href="./suivi/2026-12/2026-12.html" class="no-external">
<p class="card-img-top"><img src="suivi/2026-12/figs/Multipartite.svg" alt="Le plot des groupes trouvés par le multipartite (2 pour tous les OTUs et 4 pour les échantillons.)" class="thumbnail-image card-img"/></p>
@ -407,7 +447,7 @@ Louis Lacoste
</a>
</div>
</div>
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<div class="thumbnail"><a href="./suivi/2026-9/2026-9.html" class="no-external">
<p class="card-img-top"><img src="suivi/2026-9/figs/Multipartite.svg" alt="Le plot des groupes trouvés par le multipartite (2 pour tous les OTUs et 4 pour les échantillons.)" class="thumbnail-image card-img"/></p>
@ -441,7 +481,7 @@ Louis Lacoste
</a>
</div>
</div>
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<div class="listing-item-img-placeholder card-img-top" >&nbsp;</div>
@ -479,7 +519,7 @@ Louis Lacoste
</a>
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@ -513,7 +553,7 @@ Louis Lacoste
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<div class="listing-item-img-placeholder card-img-top" >&nbsp;</div>
@ -547,7 +587,7 @@ Louis Lacoste
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<div class="thumbnail"><a href="./suivi/2025-51/2025-51.html" class="no-external">
<p class="card-img-top"><img data-src="suivi/2025-51/figs/tendance_temps.png" class="thumbnail-image card-img"/></p>
@ -581,7 +621,7 @@ Louis Lacoste
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@ -615,7 +655,7 @@ Louis Lacoste
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@ -649,7 +689,7 @@ Louis Lacoste
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<div class="listing-item-img-placeholder card-img-top" >&nbsp;</div>
@ -683,7 +723,7 @@ Louis Lacoste
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@ -717,7 +757,7 @@ Louis Lacoste
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@ -751,7 +791,7 @@ Louis Lacoste
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<div class="listing-item-img-placeholder card-img-top" >&nbsp;</div>
@ -785,7 +825,7 @@ Louis Lacoste
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<p class="card-img-top"><img data-src="suivi/2025-33/figs/auc-model.png" class="thumbnail-image card-img"/></p>
@ -820,7 +860,7 @@ Louis Lacoste
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<li><a href="#idée-principale" id="toc-idée-principale" class="nav-link active" data-scroll-target="#idée-principale"><span class="header-section-number">1</span> Idée principale</a></li>
<li><a href="#hypersphère-méga-cool" id="toc-hypersphère-méga-cool" class="nav-link" data-scroll-target="#hypersphère-méga-cool"><span class="header-section-number">2</span> Hypersphère méga cool</a></li>
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<h1 class="title">Variational Graph AutoEncoder with Wasserstein</h1>
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<div class="quarto-title-meta-heading">Affiliation</div>
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<p class="author">Louis Lacoste <a href="mailto:louis.lacoste@agroparistech.fr" class="quarto-title-author-email"><i class="bi bi-envelope"></i></a> <a href="https://orcid.org/0009-0004-0178-9821" class="quarto-title-author-orcid"> <img src="data:image/png;base64,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"></a></p>
</div>
<div class="quarto-title-meta-contents">
<p class="affiliation">
MIA Paris-Saclay, INRAE, AgroParisTech, Université Paris-Saclay
</p>
</div>
</div>
<div class="quarto-title-meta">
<div>
<div class="quarto-title-meta-heading">Date de publication</div>
<div class="quarto-title-meta-contents">
<p class="date">7 mai 2026</p>
</div>
</div>
<div>
<div class="quarto-title-meta-heading">Modifié</div>
<div class="quarto-title-meta-contents">
<p class="date-modified">7 mai 2026</p>
</div>
</div>
</div>
</header>
<p>Suite à la discussion avec Julian jinscris ce que lon sest dit.</p>
<section id="idée-principale" class="level1" data-number="1">
<h1 data-number="1"><span class="header-section-number">1</span> Idée principale</h1>
<p>Les VAE avec convolution de graphes (GCN) permettent dapprendre une représentation latente des noeuds dun graphe basée sur les interactions entre noeuds.</p>
<p><strong>Objectif</strong> : apprendre un même encodeur et donc un espace latent structuré pour clusteriser une collection de réseaux sur la base de la structure. <em>Sous-objectif</em> : pouvoir prendre en compte des covariables (Fused Wasserstein ?).</p>
<p>Principe du VAE:</p>
<p>Soit <span class="math inline">Y</span> une matrice dadjacence (ou de bi-adjacence pour les graphes bipartites), <span class="math inline">X</span> une matrice de covariables.</p>
<p>Soit <span class="math inline">D_1</span> la matrice des degrés en ligne, <span class="math inline">D_2</span> la matrice des degrés en colonne.</p>
<p><span class="math inline">\widetilde{Y} = D_1^{-1/2} Y D_2^{-1/2}</span></p>
</section>
<section id="hypersphère-méga-cool" class="level1" data-number="2">
<h1 data-number="2"><span class="header-section-number">2</span> Hypersphère méga cool</h1>
</section>
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