{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:53:16Z","timestamp":1753894396763,"version":"3.41.2"},"reference-count":0,"publisher":"Centre pour la Communication Scientifique Directe (CCSD)","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"abstract":"<jats:p>We give a categorical treatment, in the spirit of Baez and Fritz, of relative\nentropy for probability distributions defined on standard Borel spaces. We\ndefine a category suitable for reasoning about statistical inference on\nstandard Borel spaces. We define relative entropy as a functor into Lawvere's\ncategory and we show convexity, lower semicontinuity and uniqueness.<\/jats:p>","DOI":"10.46298\/lmcs-19(4:10)2023","type":"journal-article","created":{"date-parts":[[2023,11,9]],"date-time":"2023-11-09T09:40:13Z","timestamp":1699522813000},"source":"Crossref","is-referenced-by-count":0,"title":["A categorical characterization of relative entropy on standard Borel spaces"],"prefix":"10.46298","volume":"Volume 19, Issue 4","author":[{"given":"Nicolas","family":"Gagne","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Prakash","family":"Panangaden","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"25203","published-online":{"date-parts":[[2023,11,9]]},"container-title":["Logical Methods in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/lmcs.episciences.org\/12530\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/lmcs.episciences.org\/12530\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,9]],"date-time":"2023-11-09T09:40:13Z","timestamp":1699522813000},"score":1,"resource":{"primary":{"URL":"http:\/\/lmcs.episciences.org\/7621"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,9]]},"references-count":0,"URL":"https:\/\/doi.org\/10.46298\/lmcs-19(4:10)2023","relation":{"has-preprint":[{"id-type":"arxiv","id":"1703.08853v4","asserted-by":"subject"},{"id-type":"arxiv","id":"1703.08853v3","asserted-by":"subject"}],"is-same-as":[{"id-type":"arxiv","id":"1703.08853","asserted-by":"subject"},{"id-type":"doi","id":"10.48550\/arXiv.1703.08853","asserted-by":"subject"}]},"ISSN":["1860-5974"],"issn-type":[{"type":"electronic","value":"1860-5974"}],"subject":[],"published":{"date-parts":[[2023,11,9]]},"article-number":"7621"}}