{"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/approximating-the-clusters-prior-distribution","title":"Approximating the clusters' prior distribution in Bayesian nonparametric models","arxiv_id":null,"date":"2020-11-23","proceeding":"pproximateinference AABI Symposium 2021 1","authors":["Daria Bystrova","Julyan Arbel","Guillaume Kon Kam King","François Deslandes"],"abstract":"In Bayesian nonparametrics, knowledge of the prior distribution induced on the number of clusters is key for prior specification and calibration. However, evaluating this prior is infamously difficult even for moderate sample size.\nWe evaluate several statistical approximations to the prior distribution on the number of clusters for Gibbs-type processes, a class including the Pitman--Yor process and the normalized generalized gamma process.\nWe introduce a new approximation based on the predictive distribution of Gibbs-type process, which compares favourably with the existing methods.\nWe thoroughly discuss the limitations of these various approximations by comparing them against an exact implementation of the prior distribution of the number of clusters. ","url_abs":"https://openreview.net/forum?id=J0SSW5XeWUY","url_pdf":"https://openreview.net/pdf?id=J0SSW5XeWUY","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":"approximating-the-clusters-prior-distribution","repo_url":"https://github.com/konkam/gibbstypepriors","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null},{"paper_slug":"approximating-the-clusters-prior-distribution","repo_url":"https://github.com/konkam/rgibbstypepriors","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}