{"id":640,"date":"2025-09-08T19:50:54","date_gmt":"2025-09-08T18:50:54","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/tfg\/?p=640"},"modified":"2026-02-13T08:17:25","modified_gmt":"2026-02-13T07:17:25","slug":"politops-machine-learning-i-la-conjectura-de-hirsch","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/tfg\/politops-machine-learning-i-la-conjectura-de-hirsch\/","title":{"rendered":"Pol\u00edtops, machine learning i la conjectura de Hirsch"},"content":{"rendered":"<p>Els pol\u00edtops s\u00f3n generalitzacions dels pol\u00edgons i poliedres en dimensi\u00f3 superior. Com estan definits a partir de v\u00e8rtexs, arestes, cares, etc., es poden representar de manera senzilla en un ordinador. Aquest treball \u00e9s un estudi de com s&#8217;han aplicat t\u00e8cniques de machine learning, especialment reinforcement learning, a l&#8217;estudi dels pol\u00edtops, amb especial inter\u00e9s en l&#8217;anomenada conjectura de Hirsch (la qual relaciona el diametre, la dimensi\u00f3 i el nombre de multicares d&#8217;un pol\u00edtop). La refer\u00e8ncia inicial \u00e9s l&#8217;article &#8220;Advancing geometry with AI: Multi-agent generation of polytopes&#8221; de G. Swirszcz, A.Z Wagner, G. Williamson et al. \u00c9s recomanable que l\u2019estudiant tinga coneixements b\u00e0sics sobre xarxes neuronals.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Els pol\u00edtops s\u00f3n generalitzacions dels pol\u00edgons i poliedres en dimensi\u00f3 superior. Com estan definits a partir de v\u00e8rtexs, arestes, cares, etc., es poden representar de manera senzilla en un ordinador. Aquest treball \u00e9s un estudi de com s&#8217;han aplicat t\u00e8cniques de machine learning, especialment reinforcement learning, a l&#8217;estudi dels pol\u00edtops, amb especial inter\u00e9s en l&#8217;anomenada [&hellip;]<\/p>\n","protected":false},"author":54,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31,1],"tags":[22],"class_list":["post-640","post","type-post","status-publish","format-standard","hentry","category-geometria-i-topologia","category-general","tag-roberto-rubio"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/640","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/users\/54"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/comments?post=640"}],"version-history":[{"count":1,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/640\/revisions"}],"predecessor-version":[{"id":641,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/640\/revisions\/641"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/media?parent=640"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/categories?post=640"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/tags?post=640"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}