{"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/nonparametric-weighted-stochastic-block","title":"Nonparametric weighted stochastic block models","arxiv_id":"1708.01432","date":"2017-08-04","proceeding":null,"authors":["Tiago P. Peixoto"],"abstract":"We present a Bayesian formulation of weighted stochastic block models that\ncan be used to infer the large-scale modular structure of weighted networks,\nincluding their hierarchical organization. Our method is nonparametric, and\nthus does not require the prior knowledge of the number of groups or other\ndimensions of the model, which are instead inferred from data. We give a\ncomprehensive treatment of different kinds of edge weights (i.e. continuous or\ndiscrete, signed or unsigned, bounded or unbounded), as well as arbitrary\nweight transformations, and describe an unsupervised model selection approach\nto choose the best network description. We illustrate the application of our\nmethod to a variety of empirical weighted networks, such as global migrations,\nvoting patterns in congress, and neural connections in the human brain.","url_abs":"http://arxiv.org/abs/1708.01432v4","url_pdf":"http://arxiv.org/pdf/1708.01432v4.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":"nonparametric-weighted-stochastic-block","repo_url":"https://git.skewed.de/count0/graph-tool","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[{"task_slug":"model-selection","task_name":"Model Selection"}],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":"https://app.syntology.ai/?focus=1708.01432","mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}