{"id":2020,"date":"2025-02-24T07:02:35","date_gmt":"2025-02-24T07:02:35","guid":{"rendered":"https:\/\/mailitics.com\/index.php\/2025\/02\/24\/2502-15504\/"},"modified":"2025-02-24T07:02:35","modified_gmt":"2025-02-24T07:02:35","slug":"2502-15504","status":"publish","type":"post","link":"https:\/\/mailitics.com\/index.php\/2025\/02\/24\/2502-15504\/","title":{"rendered":"Jeffrey&#8217;s update rule as a minimizer of Kullback-Leibler divergence"},"content":{"rendered":"\n<div>Jeffrey&#8217;s update rule as a minimizer of Kullback-Leibler divergence<\/div>\n<p> \t<BR><br \/>\n<BR><\/BR><br \/>\n    <!-- no image --><br \/>\n \t<BR><br \/>\n<BR><\/BR><\/p>\n<div>arXiv:2502.15504v1 Announce Type: new<br \/>\nAbstract: In this paper, we show a more concise and high level proof than the original one, derived by researcher Bart Jacobs, for the following theorem: in the context of Bayesian update rules for learning or updating internal states that produce predictions, the relative entropy between the observations and the predictions is reduced when applying Jeffrey&#8217;s update rule to update the internal state.<\/div>\n<p> \t<BR><br \/>\n <BR><\/BR><br \/>\n    Carlos Pinz&#8217;on, Catuscia Palamidessi<br \/>\n \t<BR><br \/>\n<BR><\/BR><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2502.15504\">Go to original source<\/a><br \/>\n \t<BR><br \/>\n <BR><\/BR><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Jeffrey&#8217;s update rule as a minimizer of Kullback-Leibler divergence arXiv:2502.15504v1 Announce Type: new Abstract: In this paper, we show a more concise and high level proof than the original one, derived by researcher Bart Jacobs, for the following theorem: in the context of Bayesian update rules for learning or updating internal states that produce predictions, [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[62,412,112],"tags":[1832,1833,1434],"class_list":["post-2020","post","type-post","status-publish","format-standard","hentry","category-aimldsaimlds","category-cs-cr","category-stat-ml","tag-jeffrey","tag-rule","tag-update"],"_links":{"self":[{"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/posts\/2020"}],"collection":[{"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/comments?post=2020"}],"version-history":[{"count":0,"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/posts\/2020\/revisions"}],"wp:attachment":[{"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/media?parent=2020"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/categories?post=2020"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/tags?post=2020"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}