{"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/stochastic-wasserstein-barycenters","title":"Stochastic Wasserstein Barycenters","arxiv_id":"1802.05757","date":"2018-02-15","proceeding":"ICML 2018 7","authors":["Sebastian Claici","Edward Chien","Justin Solomon"],"abstract":"We present a stochastic algorithm to compute the barycenter of a set of\nprobability distributions under the Wasserstein metric from optimal transport.\nUnlike previous approaches, our method extends to continuous input\ndistributions and allows the support of the barycenter to be adjusted in each\niteration. We tackle the problem without regularization, allowing us to recover\na sharp output whose support is contained within the support of the true\nbarycenter. We give examples where our algorithm recovers a more meaningful\nbarycenter than previous work. Our method is versatile and can be extended to\napplications such as generating super samples from a given distribution and\nrecovering blue noise approximations.","url_abs":"http://arxiv.org/abs/1802.05757v3","url_pdf":"http://arxiv.org/pdf/1802.05757v3.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":"stochastic-wasserstein-barycenters","repo_url":"https://github.com/gparracl/StochasticWassersteinBarycenter","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"tf","reach":{"status":"ok"}},{"paper_slug":"stochastic-wasserstein-barycenters","repo_url":"https://github.com/sbyebss/tmp","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok"}},{"paper_slug":"stochastic-wasserstein-barycenters","repo_url":"https://github.com/sebastian-claici/StochasticWassersteinBarycenters","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok"}}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":"https://app.syntology.ai/?focus=1802.05757","mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}