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@ -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> <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 id="listing-knowledge-base" class="quarto-listing quarto-listing-container-default">
<div class="list quarto-listing-default"> <div class="list quarto-listing-default">
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<div class="thumbnail"><a href="./knowledge_base/colsbm_application_reseaux_et_agri.html" class="no-external"> <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> <div class="listing-item-img-placeholder card-img-top" >&nbsp;</div>
@ -333,7 +333,7 @@ Louis Lacoste
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<div class="quarto-post image-right" data-index="1" data-categories="Y29udm9sdXRpb24lMkNtYWNoaW5lJTIwbGVhcm5pbmclMkN2YWUlMkNncmFwaGVz" data-listing-date-sort="1778500323000" data-listing-file-modified-sort="1778500323570" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="2" data-listing-word-count-sort="223"> <div class="quarto-post image-right" data-index="1" data-categories="Y29udm9sdXRpb24lMkNtYWNoaW5lJTIwbGVhcm5pbmclMkN2YWUlMkNncmFwaGVz" data-listing-date-sort="1778501098000" data-listing-file-modified-sort="1778501098046" data-listing-date-modified-sort="1778501098000" data-listing-reading-time-sort="2" data-listing-word-count-sort="223">
<div class="thumbnail"><a href="./knowledge_base/vae_wasserstein_gromov.html" class="no-external"> <div class="thumbnail"><a href="./knowledge_base/vae_wasserstein_gromov.html" class="no-external">
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@ -369,7 +369,7 @@ Louis Lacoste
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<div class="quarto-post image-right" data-index="2" data-categories="cGh5bG9nJUMzJUE5bmllJTJDZ3JhcGhlcyUyQ2xibSUyQ3NibQ==" data-listing-date-sort="1778500323000" data-listing-file-modified-sort="1778500323570" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="7" data-listing-word-count-sort="1395"> <div class="quarto-post image-right" data-index="2" data-categories="cGh5bG9nJUMzJUE5bmllJTJDZ3JhcGhlcyUyQ2xibSUyQ3NibQ==" data-listing-date-sort="1778501098000" data-listing-file-modified-sort="1778501098046" data-listing-date-modified-sort="1778501098000" data-listing-reading-time-sort="8" data-listing-word-count-sort="1430">
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@ -413,7 +413,7 @@ Louis Lacoste
<h2 data-number="2" class="anchored" data-anchor-id="journaux"><span class="header-section-number">2</span> Journaux</h2> <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 id="listing-journal-these" class="quarto-listing quarto-listing-container-default">
<div class="list quarto-listing-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="1778500323594" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="7" data-listing-word-count-sort="1318"> <div class="quarto-post image-right" data-index="0" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1773619200000" data-listing-file-modified-sort="1778501098070" data-listing-date-modified-sort="1778501098000" data-listing-reading-time-sort="7" data-listing-word-count-sort="1318">
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<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> <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>
@ -447,7 +447,7 @@ Louis Lacoste
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<div class="quarto-post image-right" data-index="1" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1771804800000" data-listing-file-modified-sort="1778500323595" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="4" data-listing-word-count-sort="757"> <div class="quarto-post image-right" data-index="1" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1771804800000" data-listing-file-modified-sort="1778501098071" data-listing-date-modified-sort="1778501098000" data-listing-reading-time-sort="4" data-listing-word-count-sort="757">
<div class="thumbnail"><a href="./suivi/2026-9/2026-9.html" class="no-external"> <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> <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>
@ -481,7 +481,7 @@ Louis Lacoste
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@ -519,7 +519,7 @@ Louis Lacoste
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<div class="quarto-post image-right" data-index="3" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1770940800000" data-listing-file-modified-sort="1778500323594" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="4" data-listing-word-count-sort="725"> <div class="quarto-post image-right" data-index="3" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1770940800000" data-listing-file-modified-sort="1778501098070" data-listing-date-modified-sort="1778501098000" data-listing-reading-time-sort="4" data-listing-word-count-sort="725">
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@ -553,7 +553,7 @@ Louis Lacoste
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<div class="quarto-post image-right" data-index="4" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1770336000000" data-listing-file-modified-sort="1778500323594" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="7" data-listing-word-count-sort="1333"> <div class="quarto-post image-right" data-index="4" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1770336000000" data-listing-file-modified-sort="1778501098070" data-listing-date-modified-sort="1778501098000" data-listing-reading-time-sort="7" data-listing-word-count-sort="1333">
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@ -587,7 +587,7 @@ Louis Lacoste
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<div class="quarto-post image-right" data-index="5" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1766102400000" data-listing-file-modified-sort="1778500323592" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="8" data-listing-word-count-sort="1466"> <div class="quarto-post image-right" data-index="5" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1766102400000" data-listing-file-modified-sort="1778501098068" data-listing-date-modified-sort="1778501098000" data-listing-reading-time-sort="8" data-listing-word-count-sort="1466">
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<p class="card-img-top"><img data-src="suivi/2025-51/figs/tendance_temps.png" class="thumbnail-image card-img"/></p> <p class="card-img-top"><img data-src="suivi/2025-51/figs/tendance_temps.png" class="thumbnail-image card-img"/></p>
@ -621,7 +621,7 @@ Louis Lacoste
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<div class="quarto-post image-right" data-index="6" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1765497600000" data-listing-file-modified-sort="1778500323592" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="6" data-listing-word-count-sort="1010"> <div class="quarto-post image-right" data-index="6" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1765497600000" data-listing-file-modified-sort="1778501098068" data-listing-date-modified-sort="1778501098000" data-listing-reading-time-sort="6" data-listing-word-count-sort="1010">
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@ -655,7 +655,7 @@ Louis Lacoste
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@ -689,7 +689,7 @@ Louis Lacoste
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@ -723,7 +723,7 @@ Louis Lacoste
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<div class="quarto-post image-right" data-index="9" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1760918400000" data-listing-file-modified-sort="1778500323592" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="5" data-listing-word-count-sort="903"> <div class="quarto-post image-right" data-index="9" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1760918400000" data-listing-file-modified-sort="1778501098068" data-listing-date-modified-sort="1778501098000" data-listing-reading-time-sort="5" data-listing-word-count-sort="903">
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<div class="quarto-post image-right" data-index="10" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1758240000000" data-listing-file-modified-sort="1778500323591" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="4" data-listing-word-count-sort="668"> <div class="quarto-post image-right" data-index="10" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1758240000000" data-listing-file-modified-sort="1778501098068" data-listing-date-modified-sort="1778501098000" data-listing-reading-time-sort="4" data-listing-word-count-sort="668">
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@ -825,7 +825,7 @@ Louis Lacoste
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<div class="quarto-post image-right" data-index="12" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1755129600000" data-listing-file-modified-sort="1778500323591" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="4" data-listing-word-count-sort="792"> <div class="quarto-post image-right" data-index="12" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1755129600000" data-listing-file-modified-sort="1778501098067" data-listing-date-modified-sort="1778501098000" data-listing-reading-time-sort="4" data-listing-word-count-sort="792">
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@ -860,7 +860,7 @@ Louis Lacoste
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<div class="quarto-post image-right" data-index="13" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1752537600000" data-listing-file-modified-sort="1778500323590" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="14" data-listing-word-count-sort="2709"> <div class="quarto-post image-right" data-index="13" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1752537600000" data-listing-file-modified-sort="1778501098067" data-listing-date-modified-sort="1778501098000" data-listing-reading-time-sort="14" data-listing-word-count-sort="2709">
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<p class="card-img-top"><img data-src="suivi/2025-24/figs/ari-clustering-desc&asc9.png" alt="9 réseaux - ARI pour le clustering avec modèles iid, procédure descendante et descendante&ascendante" class="thumbnail-image card-img"/></p> <p class="card-img-top"><img data-src="suivi/2025-24/figs/ari-clustering-desc&asc9.png" alt="9 réseaux - ARI pour le clustering avec modèles iid, procédure descendante et descendante&ascendante" class="thumbnail-image card-img"/></p>
@ -1034,7 +1034,7 @@ Louis Lacoste
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@ -1291,7 +1291,7 @@ Louis Lacoste
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@ -1321,7 +1321,7 @@ Louis Lacoste
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<p class="card-img-top"><img data-src="suivi/2025-13/figs/baldock_meso_iid.png" alt="Baldock iid" class="thumbnail-image card-img"/></p> <p class="card-img-top"><img data-src="suivi/2025-13/figs/baldock_meso_iid.png" alt="Baldock iid" class="thumbnail-image card-img"/></p>

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@ -182,7 +182,11 @@ window.Quarto = {
<li><a href="#formalisation-du-modèle-1" id="toc-formalisation-du-modèle-1" class="nav-link" data-scroll-target="#formalisation-du-modèle-1"><span class="header-section-number">4.1</span> Formalisation du modèle</a></li> <li><a href="#formalisation-du-modèle-1" id="toc-formalisation-du-modèle-1" class="nav-link" data-scroll-target="#formalisation-du-modèle-1"><span class="header-section-number">4.1</span> Formalisation du modèle</a></li>
</ul></li> </ul></li>
<li><a href="#échantillonnage-selon-larbre" id="toc-échantillonnage-selon-larbre" class="nav-link" data-scroll-target="#échantillonnage-selon-larbre"><span class="header-section-number">5</span> Échantillonnage selon larbre</a></li> <li><a href="#échantillonnage-selon-larbre" id="toc-échantillonnage-selon-larbre" class="nav-link" data-scroll-target="#échantillonnage-selon-larbre"><span class="header-section-number">5</span> Échantillonnage selon larbre</a></li>
<li><a href="#latent-position-model-lpm-avec-phylogénie-des-représentations-latentes-selon-la-phylogénie" id="toc-latent-position-model-lpm-avec-phylogénie-des-représentations-latentes-selon-la-phylogénie" class="nav-link" data-scroll-target="#latent-position-model-lpm-avec-phylogénie-des-représentations-latentes-selon-la-phylogénie"><span class="header-section-number">6</span> <em>Latent Position Model</em> (LPM) avec phylogénie des représentations latentes selon la phylogénie</a></li> <li><a href="#latent-position-model-lpm-avec-phylogénie-des-représentations-latentes-selon-la-phylogénie" id="toc-latent-position-model-lpm-avec-phylogénie-des-représentations-latentes-selon-la-phylogénie" class="nav-link" data-scroll-target="#latent-position-model-lpm-avec-phylogénie-des-représentations-latentes-selon-la-phylogénie"><span class="header-section-number">6</span> <em>Latent Position Model</em> (LPM) avec phylogénie des représentations latentes selon la phylogénie</a>
<ul class="collapse">
<li><a href="#classique" id="toc-classique" class="nav-link" data-scroll-target="#classique"><span class="header-section-number">6.1</span> Classique</a></li>
<li><a href="#deep-lpm" id="toc-deep-lpm" class="nav-link" data-scroll-target="#deep-lpm"><span class="header-section-number">6.2</span> <em>Deep</em> LPM</a></li>
</ul></li>
</ul> </ul>
</nav> </nav>
</div> </div>
@ -393,8 +397,15 @@ V \Gamma &amp; \approx \log((\pmb{\pi}^i)_{i=1,\dots,n_1}) = \log(\pmb{\Pi})
</section> </section>
<section id="latent-position-model-lpm-avec-phylogénie-des-représentations-latentes-selon-la-phylogénie" class="level1" data-number="6"> <section id="latent-position-model-lpm-avec-phylogénie-des-représentations-latentes-selon-la-phylogénie" class="level1" data-number="6">
<h1 data-number="6"><span class="header-section-number">6</span> <em>Latent Position Model</em> (LPM) avec phylogénie des représentations latentes selon la phylogénie</h1> <h1 data-number="6"><span class="header-section-number">6</span> <em>Latent Position Model</em> (LPM) avec phylogénie des représentations latentes selon la phylogénie</h1>
<section id="classique" class="level2" data-number="6.1">
<h2 data-number="6.1" class="anchored" data-anchor-id="classique"><span class="header-section-number">6.1</span> Classique</h2>
</section>
<section id="deep-lpm" class="level2" data-number="6.2">
<h2 data-number="6.2" class="anchored" data-anchor-id="deep-lpm"><span class="header-section-number">6.2</span> <em>Deep</em> LPM</h2>
<p>Possibilité dutilisé un encodeur qui soit un réseau de neurones et de bénéficier de tous les décodeurs de la littérature LPM. <strong>Quel est le lien avec le VGAE ?</strong> <strong>Avantage de passage à léchelle??</strong></p>
</section>
</section> </section>
</main> <!-- /main --> </main> <!-- /main -->

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@ -69,6 +69,20 @@
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"text": "4.1 Formalisation du modèle\nPierre a proposé que lon pose une structure latente sur les \\pmb{Z}. Cest à dire \\begin{align*}\n & P \\sim \\mathcal{N}_{n_1, K-1} (O_{n_1, K-1}, \\Sigma, \\sigma^2 Id_{K-1}), \\\\\n \\forall i \\in \\{1,\\dots,n_1\\}, & Z_i \\mid P_i \\overset{ind}{\\sim} \\mathop{\\mathrm{Cat}}_{K} ({\\mathop{\\mathrm{ilr}}}^{-1}(P_i) = \\pi_{1:K}^{(i)}), \\\\\n \\forall j \\in \\{1,\\dots,n_2\\}, & W_j \\overset{iid}{\\sim} \\mathop{\\mathrm{Cat}}_R (\\rho_{1:R}),\\\\\n \\forall i,j \\in \\{1,\\dots,n_1\\}\\times\\{1,\\dots,n_2\\}, & Y_{ij} \\mid Z_i = k, W_j = r \\overset{ind}{\\sim} \\mathcal{F}(\\alpha_{qr}),\n\\end{align*} avec \\Sigma, la matrice de variance-covariance déterminée en fonction de lapparentement (phylogénétique) des noeuds.\n\n\n\nLe DAG simplifié du modèle" "text": "4.1 Formalisation du modèle\nPierre a proposé que lon pose une structure latente sur les \\pmb{Z}. Cest à dire \\begin{align*}\n & P \\sim \\mathcal{N}_{n_1, K-1} (O_{n_1, K-1}, \\Sigma, \\sigma^2 Id_{K-1}), \\\\\n \\forall i \\in \\{1,\\dots,n_1\\}, & Z_i \\mid P_i \\overset{ind}{\\sim} \\mathop{\\mathrm{Cat}}_{K} ({\\mathop{\\mathrm{ilr}}}^{-1}(P_i) = \\pi_{1:K}^{(i)}), \\\\\n \\forall j \\in \\{1,\\dots,n_2\\}, & W_j \\overset{iid}{\\sim} \\mathop{\\mathrm{Cat}}_R (\\rho_{1:R}),\\\\\n \\forall i,j \\in \\{1,\\dots,n_1\\}\\times\\{1,\\dots,n_2\\}, & Y_{ij} \\mid Z_i = k, W_j = r \\overset{ind}{\\sim} \\mathcal{F}(\\alpha_{qr}),\n\\end{align*} avec \\Sigma, la matrice de variance-covariance déterminée en fonction de lapparentement (phylogénétique) des noeuds.\n\n\n\nLe DAG simplifié du modèle"
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"section": "6.2 Deep LPM",
"text": "6.2 Deep LPM\nPossibilité dutilisé un encodeur qui soit un réseau de neurones et de bénéficier de tous les décodeurs de la littérature LPM. Quel est le lien avec le VGAE ? Avantage de passage à léchelle??"
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