{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/phase-transitions-and-a-model-order-selection","title":"Phase Transitions and a Model Order Selection Criterion for Spectral Graph Clustering","arxiv_id":"1604.03159","date":"2016-04-11","proceeding":null,"authors":["Pin-Yu Chen","Alfred O. Hero"],"abstract":"One of the longstanding open problems in spectral graph clustering (SGC) is\nthe so-called model order selection problem: automated selection of the correct\nnumber of clusters. This is equivalent to the problem of finding the number of\nconnected components or communities in an undirected graph. We propose\nautomated model order selection (AMOS), a solution to the SGC model selection\nproblem under a random interconnection model (RIM) using a novel selection\ncriterion that is based on an asymptotic phase transition analysis. AMOS can\nmore generally be applied to discovering hidden block diagonal structure in\nsymmetric non-negative matrices. Numerical experiments on simulated graphs\nvalidate the phase transition analysis, and real-world network data is used to\nvalidate the performance of the proposed model selection procedure.","url_abs":"http://arxiv.org/abs/1604.03159v4","url_pdf":"http://arxiv.org/pdf/1604.03159v4.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"abstracts"},"code_links":[{"paper_slug":"phase-transitions-and-a-model-order-selection","repo_url":"https://github.com/tgensol/AMOS","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[{"task_slug":"clustering","task_name":"Clustering"},{"task_slug":"graph-clustering","task_name":"Graph Clustering"},{"task_slug":"model-selection","task_name":"Model Selection"},{"task_slug":"spectral-graph-clustering","task_name":"Spectral Graph Clustering"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}