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@ -293,7 +293,7 @@ Agenda
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<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>
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<div id="listing-knowledge-base" class="quarto-listing quarto-listing-container-default">
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<div class="list quarto-listing-default">
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<div class="quarto-post image-right" data-index="0" data-categories="YXBwbGljYXRpb24lMkNhZ3JpY29sZSUyQ2dyYXBoZSUyQ2NvbGxlY3Rpb24lMkNsYm0lMkNzYm0=" data-listing-date-sort="1778500323000" data-listing-file-modified-sort="1778500323569" data-listing-date-modified-sort="1778500323000" 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">
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<div class="listing-item-img-placeholder card-img-top" > </div>
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<div class="quarto-post image-right" data-index="1" data-categories="Y29udm9sdXRpb24lMkNtYWNoaW5lJTIwbGVhcm5pbmclMkN2YWUlMkNncmFwaGVz" data-listing-date-sort="1778499957000" data-listing-file-modified-sort="1778499957617" data-listing-date-modified-sort="1778499957000" data-listing-reading-time-sort="1" data-listing-word-count-sort="200">
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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">
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<div class="quarto-post image-right" data-index="2" data-categories="cGh5bG9nJUMzJUE5bmllJTJDZ3JhcGhlcyUyQ2xibSUyQ3NibQ==" data-listing-date-sort="1778499957000" data-listing-file-modified-sort="1778499957617" data-listing-date-modified-sort="1778499957000" data-listing-reading-time-sort="7" data-listing-word-count-sort="1395">
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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">
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<div class="thumbnail"><a href="./knowledge_base/projets-phylo.html" class="no-external">
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<h2 data-number="2" class="anchored" data-anchor-id="journaux"><span class="header-section-number">2</span> Journaux</h2>
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<div id="listing-journal-these" class="quarto-listing quarto-listing-container-default">
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<div class="list quarto-listing-default">
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<div class="quarto-post image-right" data-index="0" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1773619200000" data-listing-file-modified-sort="1778499957641" data-listing-date-modified-sort="1778499957000" data-listing-reading-time-sort="7" data-listing-word-count-sort="1318">
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<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">
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<div class="thumbnail"><a href="./suivi/2026-12/2026-12.html" class="no-external">
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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>
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@ -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="1778499957642" data-listing-date-modified-sort="1778499957000" data-listing-reading-time-sort="4" data-listing-word-count-sort="757">
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<div class="thumbnail"><a href="./suivi/2026-9/2026-9.html" class="no-external">
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<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>
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@ -481,7 +481,7 @@ Louis Lacoste
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<div class="quarto-post image-right" data-index="2" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTiUyQ2NvdmFyaWFibGVzJTJDaWRlbnRpZmlhYmlsaXQlQzMlQTk=" data-listing-date-sort="1770940800000" data-listing-file-modified-sort="1778499957641" data-listing-date-modified-sort="1778499957000" data-listing-reading-time-sort="7" data-listing-word-count-sort="1298">
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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="1778499957642" data-listing-date-modified-sort="1778499957000" data-listing-reading-time-sort="4" data-listing-word-count-sort="725">
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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">
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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="1778499957641" data-listing-date-modified-sort="1778499957000" data-listing-reading-time-sort="7" data-listing-word-count-sort="1333">
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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">
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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="1778499957640" data-listing-date-modified-sort="1778499957000" data-listing-reading-time-sort="8" data-listing-word-count-sort="1466">
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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">
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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>
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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="1778499957640" data-listing-date-modified-sort="1778499957000" data-listing-reading-time-sort="6" data-listing-word-count-sort="1010">
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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">
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<div class="quarto-post image-right" data-index="7" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1762128000000" data-listing-file-modified-sort="1778499957639" data-listing-date-modified-sort="1778499957000" data-listing-reading-time-sort="4" data-listing-word-count-sort="724">
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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">
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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">
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<div class="quarto-post image-right" data-index="14" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1751846400000" data-listing-file-modified-sort="1778500323590" data-listing-date-modified-sort="1752192000000" data-listing-reading-time-sort="4" data-listing-word-count-sort="619">
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||||
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||||
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||||
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|||
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||||
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||||
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||||
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||||
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||||
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<div class="quarto-post image-right" data-index="17" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1749772800000" data-listing-file-modified-sort="1778500323589" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="6" data-listing-word-count-sort="1009">
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||||
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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>
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||||
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||||
<div class="quarto-post image-right" data-index="19" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1747958400000" data-listing-file-modified-sort="1778500323589" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="5" data-listing-word-count-sort="919">
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||||
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||||
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||||
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||||
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||||
<div class="quarto-post image-right" data-index="20" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZSUyQ0dOTg==" data-listing-date-sort="1747353600000" data-listing-file-modified-sort="1778500323589" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="6" data-listing-word-count-sort="1030">
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||||
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||||
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|
||||
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|||
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|
||||
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||||
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||||
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||||
<div class="quarto-post image-right" data-index="21" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZQ==" data-listing-date-sort="1746748800000" data-listing-file-modified-sort="1778500323588" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="5" data-listing-word-count-sort="814">
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||||
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||||
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||||
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||||
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|||
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||||
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||||
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||||
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|
||||
<div class="quarto-post image-right" data-index="22" data-categories="Y29sQmlTQk0lMkNpbmYlQzMlQTlyZW5jZQ==" data-listing-date-sort="1746144000000" data-listing-file-modified-sort="1778500323587" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="3" data-listing-word-count-sort="521">
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||||
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|
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|||
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||||
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|
||||
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||||
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|
||||
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||||
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||||
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||||
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|
||||
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|
|||
</a>
|
||||
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|
||||
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|
||||
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|
||||
<div class="quarto-post image-right" data-index="25" data-categories="Y29sQmlTQk0=" data-listing-date-sort="1743724800000" data-listing-file-modified-sort="1778500323576" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="2" data-listing-word-count-sort="353">
|
||||
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|
||||
|
||||
<p class="card-img-top"><img data-src="suivi/2025-15/figs/alluvial-clusterings.png" class="thumbnail-image card-img"/></p>
|
||||
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|
@ -1291,7 +1291,7 @@ Louis Lacoste
|
|||
</a>
|
||||
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|
||||
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|
||||
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|
||||
<div class="quarto-post image-right" data-index="26" data-categories="Y29sQmlTQk0=" data-listing-date-sort="1743120000000" data-listing-file-modified-sort="1778500323576" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="3" data-listing-word-count-sort="413">
|
||||
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||||
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||||
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|
||||
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|
|||
</a>
|
||||
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|
||||
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|
||||
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|
||||
<div class="quarto-post image-right" data-index="27" data-categories="Y29sQmlTQk0=" data-listing-date-sort="1742169600000" data-listing-file-modified-sort="1778500323570" data-listing-date-modified-sort="1778500323000" data-listing-reading-time-sort="3" data-listing-word-count-sort="426">
|
||||
<div class="thumbnail"><a href="./suivi/2025-13/2025-13.html" class="no-external">
|
||||
|
||||
<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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|
|
|||
|
|
@ -161,7 +161,10 @@ window.Quarto = {
|
|||
|
||||
<ul>
|
||||
<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>
|
||||
<li><a href="#apprentissage-contrastif" id="toc-apprentissage-contrastif" class="nav-link" data-scroll-target="#apprentissage-contrastif"><span class="header-section-number">2</span> Apprentissage contrastif</a>
|
||||
<ul class="collapse">
|
||||
<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">2.1</span> Hypersphère méga cool</a></li>
|
||||
</ul></li>
|
||||
</ul>
|
||||
</nav>
|
||||
</div>
|
||||
|
|
@ -229,9 +232,12 @@ window.Quarto = {
|
|||
<p><span class="math inline">\widetilde{Y} = D_1^{-1/2} Y D_2^{-1/2}</span></p>
|
||||
<p><strong>à compléter</strong></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>
|
||||
<p>Il faut creuser les contraintes des <em>embeddings</em> à vivre sur la surface d’une hypersphère car, d’après Julian et la littérature, par rapport à un espace euclidien cela permet d’avoir :</p>
|
||||
<section id="apprentissage-contrastif" class="level1" data-number="2">
|
||||
<h1 data-number="2"><span class="header-section-number">2</span> Apprentissage contrastif</h1>
|
||||
<p>Puisque l’on voudrait marquer la séparation entre différentes structures de réseaux, on pourrait vouloir faire de l’<a href="https://u9534056.medium.com/an-overview-of-contrastive-learning-fa520f5f2c23">apprentissage contrastif pour V(G)AE</a>.</p>
|
||||
<section id="hypersphère-méga-cool" class="level2" data-number="2.1">
|
||||
<h2 data-number="2.1" class="anchored" data-anchor-id="hypersphère-méga-cool"><span class="header-section-number">2.1</span> Hypersphère méga cool</h2>
|
||||
<p>Il faut creuser : forcer les contraintes des <em>embeddings</em> à vivre sur la surface d’une hypersphère car, d’après Julian et la littérature, par rapport à un espace euclidien cela permet d’avoir :</p>
|
||||
<ul>
|
||||
<li>position latente bornée : stabilisation de l’apprentissage et évite l’explosion dans une ou plusieurs directions.</li>
|
||||
<li>couverture “uniforme” de la sphère : tendance à faciliter l’apprentissage contrastif, avec l’idée de bien séparer les graphes aux structures différentes.</li>
|
||||
|
|
@ -240,6 +246,7 @@ window.Quarto = {
|
|||
<p>Le softmax est remplacée par la loi de von Mises-Fisher. D’après <a href="https://fr.wikipedia.org/wiki/Loi_de_von_Mises-Fisher#Relation_avec_la_loi_normale">Wikipédia</a> équivalent de la loi normale multivariée à covariance isotrope restreinte à l’hypersphère unité.</p>
|
||||
|
||||
|
||||
</section>
|
||||
</section>
|
||||
|
||||
</main> <!-- /main -->
|
||||
|
|
|
|||
|
|
@ -1047,6 +1047,13 @@
|
|||
"href": "knowledge_base/vae_wasserstein_gromov.html",
|
||||
"title": "Variational Graph AutoEncoder with Wasserstein",
|
||||
"section": "",
|
||||
"text": "Suite à la discussion avec Julian j’inscris ce que l’on s’est dit.\n\n1 Idée principale\nLes VAE avec convolution de graphes (GCN) permettent d’apprendre une représentation latente des noeuds d’un graphe basée sur les interactions entre noeuds.\nObjectif : apprendre un même encodeur et donc un espace latent structuré pour clusteriser une collection de réseaux sur la base de la structure. Sous-objectif : pouvoir prendre en compte des covariables (Fused Wasserstein ?).\nPrincipe du VAE:\nSoit Y une matrice d’adjacence (ou de bi-adjacence pour les graphes bipartites), X une matrice de covariables.\nSoit D_1 la matrice des degrés en ligne, D_2 la matrice des degrés en colonne.\n\\widetilde{Y} = D_1^{-1/2} Y D_2^{-1/2}\nà compléter\n\n\n2 Hypersphère méga cool\nIl faut creuser les contraintes des embeddings à vivre sur la surface d’une hypersphère car, d’après Julian et la littérature, par rapport à un espace euclidien cela permet d’avoir :\n\nposition latente bornée : stabilisation de l’apprentissage et évite l’explosion dans une ou plusieurs directions.\ncouverture “uniforme” de la sphère : tendance à faciliter l’apprentissage contrastif, avec l’idée de bien séparer les graphes aux structures différentes.\n\nPremière source\nLe softmax est remplacée par la loi de von Mises-Fisher. D’après Wikipédia équivalent de la loi normale multivariée à covariance isotrope restreinte à l’hypersphère unité."
|
||||
"text": "Suite à la discussion avec Julian j’inscris ce que l’on s’est dit."
|
||||
},
|
||||
{
|
||||
"objectID": "knowledge_base/vae_wasserstein_gromov.html#hypersphère-méga-cool",
|
||||
"href": "knowledge_base/vae_wasserstein_gromov.html#hypersphère-méga-cool",
|
||||
"title": "Variational Graph AutoEncoder with Wasserstein",
|
||||
"section": "2.1 Hypersphère méga cool",
|
||||
"text": "2.1 Hypersphère méga cool\nIl faut creuser : forcer les contraintes des embeddings à vivre sur la surface d’une hypersphère car, d’après Julian et la littérature, par rapport à un espace euclidien cela permet d’avoir :\n\nposition latente bornée : stabilisation de l’apprentissage et évite l’explosion dans une ou plusieurs directions.\ncouverture “uniforme” de la sphère : tendance à faciliter l’apprentissage contrastif, avec l’idée de bien séparer les graphes aux structures différentes.\n\nPremière source\nLe softmax est remplacée par la loi de von Mises-Fisher. D’après Wikipédia équivalent de la loi normale multivariée à covariance isotrope restreinte à l’hypersphère unité."
|
||||
}
|
||||
]
|
||||
Loading…
Add table
Reference in a new issue