{"id":3666,"date":"2025-05-08T07:02:31","date_gmt":"2025-05-08T07:02:31","guid":{"rendered":"https:\/\/mailitics.com\/index.php\/2025\/05\/08\/2505-03862\/"},"modified":"2025-05-08T07:02:31","modified_gmt":"2025-05-08T07:02:31","slug":"2505-03862","status":"publish","type":"post","link":"https:\/\/mailitics.com\/index.php\/2025\/05\/08\/2505-03862\/","title":{"rendered":"Categorical and geometric methods in statistical, manifold, and machine learning"},"content":{"rendered":"<p>    Categorical and geometric methods in statistical, manifold, and machine learning<br \/>\n \t<BR><br \/>\n<BR><\/BR><br \/>\n    <!-- no image --><br \/>\n \t<BR><br \/>\n<BR><\/BR><\/p>\n<div>arXiv:2505.03862v1 Announce Type: new<br \/>\nAbstract: We present and discuss applications of the category of probabilistic morphisms, initially developed in cite{Le2023}, as well as some geometric methods to several classes of problems in statistical, machine and manifold learning which shall be, along with many other topics, considered in depth in the forthcoming book cite{LMPT2024}.<\/div>\n<p> \t<BR><br \/>\n <BR><\/BR><br \/>\n    H^ong V^an L^e, H`a Quang Minh, Frederic Protin, Wilderich Tuschmann<br \/>\n \t<BR><br \/>\n<BR><\/BR><br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2505.03862\">Go to original source<\/a><br \/>\n \t<BR><br \/>\n <BR><\/BR><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Categorical and geometric methods in statistical, manifold, and machine learning arXiv:2505.03862v1 Announce Type: new Abstract: We present and discuss applications of the category of probabilistic morphisms, initially developed in cite{Le2023}, as well as some geometric methods to several classes of problems in statistical, machine and manifold learning which shall be, along with many other topics, [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[62,113,2608,1629,190,112,191],"tags":[2609,272,315],"class_list":["post-3666","post","type-post","status-publish","format-standard","hentry","category-aimldsaimlds","category-cs-lg","category-math-ct","category-math-dg","category-math-st","category-stat-ml","category-stat-th","tag-geometric","tag-methods","tag-statistical"],"_links":{"self":[{"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/posts\/3666"}],"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=3666"}],"version-history":[{"count":0,"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/posts\/3666\/revisions"}],"wp:attachment":[{"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/media?parent=3666"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/categories?post=3666"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mailitics.com\/index.php\/wp-json\/wp\/v2\/tags?post=3666"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}