{"id":1983,"date":"2025-10-30T14:20:28","date_gmt":"2025-10-30T18:20:28","guid":{"rendered":"https:\/\/wp.well-e.org\/publication\/toward-convex-manifolds-a-geometric-perspective-for-deep-graph-clustering-of-single-cell-rna-seq-data\/"},"modified":"2026-05-02T03:44:54","modified_gmt":"2026-05-02T07:44:54","slug":"toward-convex-manifolds-a-geometric-perspective-for-deep-graph-clustering-of-single-cell-rna-seq-data","status":"publish","type":"publication","link":"https:\/\/wp.well-e.org\/fr\/publication\/toward-convex-manifolds-a-geometric-perspective-for-deep-graph-clustering-of-single-cell-rna-seq-data\/","title":{"rendered":"Toward Convex Manifolds: A Geometric Perspective for Deep Graph Clustering of Single-cell RNA-seq Data"},"content":{"rendered":"<p><strong>Authors:<\/strong> Nairouz Mrabah and Mohamed Mahmoud Amar and Mohamed Bouguessa and Abdoulaye Banire Diallo<\/p>\n<p><strong>Date:<\/strong> 2023-08-01<\/p>\n<p><strong>Status:<\/strong> Published<\/p>\n<p><strong>DOI:<\/strong> 10.24963\/ijcai.2023\/540<\/p>\n<p><a href=\"https:\/\/www.ijcai.org\/proceedings\/2023\/540\" target=\"_blank\" rel=\"noopener\">View External Publication<\/a><\/p>\n<hr>\n<p>The deep clustering paradigm has shown great potential for discovering complex patterns that can reveal cell heterogeneity in single-cell RNA sequencing data. This paradigm involves two training phases: pretraining based on a pretext task and fine-tuning using pseudo-labels. Although current models yield promising results, they overlook the geometric distortions that regularly occur during the training process. More precisely, the transition between the two phases results in a coarse flattening of the latent structures, which can deteriorate the clustering performance. In this context, existing methods perform euclidean-based embedding clustering without ensuring the flatness and convexity of the latent manifolds. To address this problem, we incorporate two mechanisms. First, we introduce an overclustering loss to flatten the local curves. Second, we propose an adversarial mechanism to adjust the global geometric configuration. The second mechanism gradually transforms the latent structures into convex ones. Empirical results on a variety of gene expression datasets show that our model outperforms state-of-the-art methods.<\/p>\n","protected":false},"template":"","meta":{"_acf_changed":false,"_crdt_document":""},"class_list":["post-1983","publication","type-publication","status-publish","hentry"],"blocksy_meta":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Toward Convex Manifolds: A Geometric Perspective for Deep Graph Clustering of Single-cell RNA-seq Data - WELL-E<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/wp.well-e.org\/fr\/publication\/toward-convex-manifolds-a-geometric-perspective-for-deep-graph-clustering-of-single-cell-rna-seq-data\/\" \/>\n<meta property=\"og:locale\" content=\"fr_CA\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Toward Convex Manifolds: A Geometric Perspective for Deep Graph Clustering of Single-cell RNA-seq Data - WELL-E\" \/>\n<meta property=\"og:description\" content=\"Authors: Nairouz Mrabah and Mohamed Mahmoud Amar and Mohamed Bouguessa and Abdoulaye Banire Diallo Date: 2023-08-01 Status: Published DOI: 10.24963\/ijcai.2023\/540 View External Publication The deep clustering paradigm has shown great potential for discovering complex patterns that can reveal cell heterogeneity in single-cell RNA sequencing data. This paradigm involves two training phases: pretraining based on a [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/wp.well-e.org\/fr\/publication\/toward-convex-manifolds-a-geometric-perspective-for-deep-graph-clustering-of-single-cell-rna-seq-data\/\" \/>\n<meta property=\"og:site_name\" content=\"WELL-E\" \/>\n<meta property=\"article:modified_time\" content=\"2026-05-02T07:44:54+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/wp.well-e.org\\\/publication\\\/toward-convex-manifolds-a-geometric-perspective-for-deep-graph-clustering-of-single-cell-rna-seq-data\\\/\",\"url\":\"https:\\\/\\\/wp.well-e.org\\\/publication\\\/toward-convex-manifolds-a-geometric-perspective-for-deep-graph-clustering-of-single-cell-rna-seq-data\\\/\",\"name\":\"Toward Convex Manifolds: A Geometric Perspective for Deep Graph Clustering of Single-cell RNA-seq Data - WELL-E\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/wp.well-e.org\\\/#website\"},\"datePublished\":\"2025-10-30T18:20:28+00:00\",\"dateModified\":\"2026-05-02T07:44:54+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/wp.well-e.org\\\/publication\\\/toward-convex-manifolds-a-geometric-perspective-for-deep-graph-clustering-of-single-cell-rna-seq-data\\\/#breadcrumb\"},\"inLanguage\":\"fr-CA\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/wp.well-e.org\\\/publication\\\/toward-convex-manifolds-a-geometric-perspective-for-deep-graph-clustering-of-single-cell-rna-seq-data\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/wp.well-e.org\\\/publication\\\/toward-convex-manifolds-a-geometric-perspective-for-deep-graph-clustering-of-single-cell-rna-seq-data\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/wp.well-e.org\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Publications\",\"item\":\"https:\\\/\\\/wp.well-e.org\\\/publication\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Toward Convex Manifolds: A Geometric Perspective for Deep Graph Clustering of Single-cell RNA-seq Data\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/wp.well-e.org\\\/#website\",\"url\":\"https:\\\/\\\/wp.well-e.org\\\/\",\"name\":\"WELL-E\",\"description\":\"IA au service du bien-&ecirc;tre animal\",\"publisher\":{\"@id\":\"https:\\\/\\\/wp.well-e.org\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/wp.well-e.org\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"fr-CA\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/wp.well-e.org\\\/#organization\",\"name\":\"WELL-E\",\"url\":\"https:\\\/\\\/wp.well-e.org\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-CA\",\"@id\":\"https:\\\/\\\/wp.well-e.org\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/wp.well-e.org\\\/wp-content\\\/uploads\\\/2024\\\/05\\\/LOGOTYPETAG_Left_RVB_FR-edited-1-e1718738358443.png\",\"contentUrl\":\"https:\\\/\\\/wp.well-e.org\\\/wp-content\\\/uploads\\\/2024\\\/05\\\/LOGOTYPETAG_Left_RVB_FR-edited-1-e1718738358443.png\",\"width\":1000,\"height\":250,\"caption\":\"WELL-E\"},\"image\":{\"@id\":\"https:\\\/\\\/wp.well-e.org\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.linkedin.com\\\/company\\\/research-and-innovation-chair-in-animal-welfare-and-artificial-intelligence-well-e\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Toward Convex Manifolds: A Geometric Perspective for Deep Graph Clustering of Single-cell RNA-seq Data - WELL-E","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/wp.well-e.org\/fr\/publication\/toward-convex-manifolds-a-geometric-perspective-for-deep-graph-clustering-of-single-cell-rna-seq-data\/","og_locale":"fr_CA","og_type":"article","og_title":"Toward Convex Manifolds: A Geometric Perspective for Deep Graph Clustering of Single-cell RNA-seq Data - WELL-E","og_description":"Authors: Nairouz Mrabah and Mohamed Mahmoud Amar and Mohamed Bouguessa and Abdoulaye Banire Diallo Date: 2023-08-01 Status: Published DOI: 10.24963\/ijcai.2023\/540 View External Publication The deep clustering paradigm has shown great potential for discovering complex patterns that can reveal cell heterogeneity in single-cell RNA sequencing data. 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