{"id":9275,"date":"2025-12-22T07:02:50","date_gmt":"2025-12-22T07:02:50","guid":{"rendered":"https:\/\/mailitics.com\/index.php\/2025\/12\/22\/2512-17374\/"},"modified":"2025-12-22T07:02:50","modified_gmt":"2025-12-22T07:02:50","slug":"2512-17374","status":"publish","type":"post","link":"https:\/\/mailitics.com\/index.php\/2025\/12\/22\/2512-17374\/","title":{"rendered":"Generative modeling of conditional probability distributions on the level-sets of collective variables"},"content":{"rendered":"<p>    Generative modeling of conditional probability distributions on the level-sets of collective variables<br \/>\n \t<BR><br \/>\n<BR><\/BR><br \/>\n    <!-- no image --><br \/>\n \t<BR><br \/>\n<BR><\/BR><\/p>\n<div>arXiv:2512.17374v1 Announce Type: new<br \/>\nAbstract: Given a probability distribution $mu$ in $mathbb{R}^d$ represented by data, we study in this paper the generative modeling of its conditional probability distributions on the level-sets of a collective variable $xi: mathbb{R}^d rightarrow mathbb{R}^k$, where $1 le k<d we propose a general and effcient learning approach that is able to learn generative models on different level-sets of simultaneously. improve the quality in low-probability regions also strategy for data enrichment by utilizing from enhanced sampling techniques. demonstrate effectiveness our proposed through concrete numerical examples. potentially useful modeling molecular systems biophysics instance.><\/d>\n<\/div>\n<p> \t<BR><br \/>\n <BR><\/BR><br \/>\n    Fatima-Zahrae Akhyar, Wei Zhang, Gabriel Stoltz, Christof Sch&quot;utte<br \/>\n \t<BR><br \/>\n<BR><\/BR><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2512.17374\">Go to original source<\/a><br \/>\n \t<BR><br \/>\n <BR><\/BR><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Generative modeling of conditional probability distributions on the level-sets of collective variables arXiv:2512.17374v1 Announce Type: new Abstract: Given a probability distribution $mu$ in $mathbb{R}^d$ represented by data, we study in this paper the generative modeling of its conditional probability distributions on the level-sets of a collective variable $xi: mathbb{R}^d rightarrow mathbb{R}^k$, where $1 le k [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[62,376,112],"tags":[252,881,921],"class_list":["post-9275","post","type-post","status-publish","format-standard","hentry","category-aimldsaimlds","category-math-oc","category-stat-ml","tag-generative","tag-modeling","tag-probability"],"_links":{"self":[{"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/posts\/9275"}],"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=9275"}],"version-history":[{"count":0,"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/posts\/9275\/revisions"}],"wp:attachment":[{"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/media?parent=9275"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/categories?post=9275"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/tags?post=9275"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}