{"id":18036,"date":"2018-03-28T17:09:00","date_gmt":"2018-03-28T13:09:00","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=18036"},"modified":"2018-03-30T14:09:45","modified_gmt":"2018-03-30T10:09:45","slug":"seminar-on-the-subject-kolmoqorov-superposition-theorem-and-its-approximation-variant-was-held","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2018\/03\/28\/seminar-on-the-subject-kolmoqorov-superposition-theorem-and-its-approximation-variant-was-held\/","title":{"rendered":"Seminar on the subject &#8220;Kolmoqorov superposition theorem and its approximation variant&#8221; was held"},"content":{"rendered":"<p style=\"text-align: justify;\">Today, the institute seminar of IMM was held. At the seminar, the head of \u201cFunctions Thoeyr\u201d, doctor of math. Sci. prof. of ANAS Vugar Elman oglu Ismayilov gave a talk on \u201cKolmogorov superposition theorem and its approximative variant\u201d.<\/p>\n<p style=\"text-align: justify;\">The talk deals with the history of Hilbert\u2019s 13-th problem, solution of this problem by V.I. Arnold and A.N. Kolmogorov, different strengthened variants and generalizations Kolmogorov\u2019s superpositions theorem for continuous functions.<\/p>\n<p style=\"text-align: justify;\">Representation by linear superpositions for discontinuous functions was discussed. Approximative variant of the Kolmogorov superposition theory was given. The role of this variant in neural networks was discussed and the problems open on this subject were mentioned.<\/p>\n<div class='entry-gallery'><div id=\"carousel-1\" class=\"single-carousel carousel slide carousel-18036\" data-ride=\"carousel\"><ol class='carousel-indicators'><li data-target=\"#carousel-1\" data-slide-to=\"0\" class=\"active\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"1\" class=\"\"><\/li><\/ol><div class='carousel-inner'><div class=\"carousel-item item active\"><a href='https:\/\/www.imm.az\/exp\/2018\/03\/28\/kolmoqorov-superpozisiya-teoremi-v%c9%99-onun-approksimativ-varianti-movzusunda-umuminstitut-seminari-kecirilib\/foto1-79\/'><img loading=\"lazy\" decoding=\"async\" width=\"525\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2018\/03\/Foto1-6.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2018\/03\/Foto1-6.jpg 700w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2018\/03\/Foto1-6-300x200.jpg 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/a><\/div><div class=\"carousel-item item\"><a href='https:\/\/www.imm.az\/exp\/2018\/03\/28\/kolmoqorov-superpozisiya-teoremi-v%c9%99-onun-approksimativ-varianti-movzusunda-umuminstitut-seminari-kecirilib\/foto2-75\/'><img loading=\"lazy\" decoding=\"async\" width=\"525\" height=\"350\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2018\/03\/Foto2-6.jpg\" class=\"attachment-620x350 size-620x350\" alt=\"\" srcset=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2018\/03\/Foto2-6.jpg 700w, https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2018\/03\/Foto2-6-300x200.jpg 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><\/a><\/div><\/div>\n<a class=\"carousel-control-prev\" href=\"#carousel-1\" role=\"button\" data-slide=\"prev\">\n    <span class=\"carousel-control-prev-icon\" aria-hidden=\"true\"><\/span>\n    <span class=\"sr-only\">Previous<\/span>\n  <\/a>\n\n      <a class=\"carousel-control-next\" href=\"#carousel-1\" role=\"button\" data-slide=\"next\">\n    <span class=\"carousel-control-next-icon\" aria-hidden=\"true\"><\/span>\n    <span class=\"sr-only\">Next<\/span>\n  <\/a>\n    \n    <\/div><\/div>\n<p>\u00a9All rights are reserved. Citing to www.imm.az is necessary upon using news.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Today, the institute seminar of IMM was held. At the seminar, the head of \u201cFunctions Thoeyr\u201d, doctor of math. Sci. prof. of ANAS Vugar Elman oglu Ismayilov gave a talk on \u201cKolmogorov superposition theorem and its approximative variant\u201d. The talk deals with the history of Hilbert\u2019s 13-th problem, solution of this problem by V.I. Arnold [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[85,88],"tags":[],"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/18036"}],"collection":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/comments?post=18036"}],"version-history":[{"count":1,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/18036\/revisions"}],"predecessor-version":[{"id":18037,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/18036\/revisions\/18037"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=18036"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=18036"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=18036"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}