{"id":900,"date":"2025-03-13T11:49:54","date_gmt":"2025-03-13T11:49:54","guid":{"rendered":"https:\/\/www.ccor.hu\/?p=900"},"modified":"2025-03-13T13:29:24","modified_gmt":"2025-03-13T13:29:24","slug":"ccor-seminar-andras-frigyik","status":"publish","type":"post","link":"http:\/\/www.ccor.hu\/?p=900","title":{"rendered":"CCOR Optimization Seminar – Andr\u00e1s B. Frigyik"},"content":{"rendered":"\n

The Corvinus Centre for Operations Research (CCOR), the Corvinus Institute for Advanced Studies (CIAS), and the Institute of Operations and Decision Sciences invite you to the seminar talk by Professor Andr\u00e1s B. Frigyik (Obuda University)<\/strong><\/p>\n\n\n\n

From Hilbert’s 13th Problem to Neural Networks<\/strong>.<\/strong><\/strong><\/p>\n\n\n\n

Venue<\/strong>: Corvinus University, Building C<\/p>\n\n\n\n

Date<\/strong>:<\/p>\n\n\n\n

March 20 (Thursday) 13:40-15:10 (Room C427)
March 27 (Thursday) 13:40-15:10 (Room C427)<\/p>\n\n\n\n

Abstracts<\/strong><\/p>\n\n\n\n

From Hilbert’s 13th Problem to Neural Networks<\/strong> I<\/strong><\/strong><\/p>\n\n\n\n

Hilbert’s 13th problem is about the solution of a certain (general) 7th degree polynomial in terms of its three coefficients. We know that the solution function is a continuous function of these coefficients but Hilbert wanted to know whether it is possible to express it as a composition of functions only of two variable. The problem was solved by Kolmogorov and his student Arnold in 1956-57. In this first talk I’ll state the problem precisely and then I’ll show a solution based on Baire’s category theory following a paper by Kahane which was published in 1975.<\/p>\n\n\n\n

From Hilbert’s 13th Problem to Neural Networks<\/strong> II<\/strong><\/strong><\/p>\n\n\n\n

Hilbert’s 13th problem is about a special way in which the solution of a certain (general) 7th degree polynomial in terms of its three coefficients can or cannot be expressed. The problem was solved by Kolmogorov and his student Arnold in 1956-57. In this second talk I’ll present — in some cases, along with their proofs — some of the theorems that lead us to the representation of continuous functions by neural networks. In the second part of the talk I’ll move from the question of representation to that of approximation.<\/p>\n\n\n\n

<\/p>\n\n\n\n

This research was supported by the National Research, Development and Innovation Office (NKFIH) under grant number 2024-1.2.3-HU-RIZONT-2024-00030.<\/p>\n","protected":false},"excerpt":{"rendered":"

The Corvinus Centre for Operations Research (CCOR), the Corvinus Institute for Advanced Studies (CIAS), and the Institute of Operations and Decision Sciences invite you to the seminar\u00a0talk by Professor P\u00e9ter Baranyi (Corvinus University of Budapest and University of Pannonia),<\/p>\n

Tensor product model transformation for linear matrix inequality based design and analysis<\/p>\n

Venue: Corvinus University, Building C, Room C.427<\/p>\n

Date: March 21. (Thursday) 13:00-14:00 Continue Reading …<\/a><\/span><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-900","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/posts\/900","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=900"}],"version-history":[{"count":3,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/posts\/900\/revisions"}],"predecessor-version":[{"id":905,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=\/wp\/v2\/posts\/900\/revisions\/905"}],"wp:attachment":[{"href":"http:\/\/www.ccor.hu\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=900"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=900"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.ccor.hu\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=900"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}