{"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/estimating-the-number-of-clusters-via","title":"Estimating the Number of Clusters via Normalized Cluster Instability","arxiv_id":"1608.07494","date":"2016-08-26","proceeding":null,"authors":["Jonas M. B. Haslbeck","Dirk U. Wulff"],"abstract":"We improve current instability-based methods for the selection of the number\nof clusters $k$ in cluster analysis by developing a normalized cluster\ninstability measure that corrects for the distribution of cluster sizes, a\npreviously unaccounted driver of cluster instability. We show that our\nnormalized instability measure outperforms current instability-based measures\nacross the whole sequence of possible $k$ and especially overcomes limitations\nin the context of large $k$. We also compare, for the first time, model-based\nand model-free approaches to determine cluster-instability and find their\nperformance to be comparable. We make our method available in the R-package\n\\verb+cstab+.","url_abs":"http://arxiv.org/abs/1608.07494v4","url_pdf":"http://arxiv.org/pdf/1608.07494v4.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":"estimating-the-number-of-clusters-via","repo_url":"https://github.com/cran/cstab","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null},{"paper_slug":"estimating-the-number-of-clusters-via","repo_url":"https://github.com/jmbh/cstab","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"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}