{"id":216691,"date":"2025-05-19T09:20:00","date_gmt":"2025-05-19T05:20:00","guid":{"rendered":"https:\/\/www.imm.az\/exp\/?p=216691"},"modified":"2025-05-19T14:33:44","modified_gmt":"2025-05-19T10:33:44","slug":"az%c9%99rbaycanli-aliml%c9%99rin-n%c9%99tic%c9%99si-kolmoqorov-v%c9%99-arnoldun-isl%c9%99ri-il%c9%99-eyni-c%c9%99rg%c9%99d%c9%99","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2025\/05\/19\/az%c9%99rbaycanli-aliml%c9%99rin-n%c9%99tic%c9%99si-kolmoqorov-v%c9%99-arnoldun-isl%c9%99ri-il%c9%99-eyni-c%c9%99rg%c9%99d%c9%99\/","title":{"rendered":"Az\u0259rbaycanl\u0131 aliml\u0259rin n\u0259tic\u0259si Kolmoqorov v\u0259 Arnoldun i\u015fl\u0259ri il\u0259 eyni c\u0259rg\u0259d\u0259"},"content":{"rendered":"<p><em><strong>\u201cBiz \u00f6z i\u015fimizd\u0259 Kolmoqorov, Arnold, Namiq Quliyev v\u0259 V\u00fcqar \u0130smay\u0131lovun fikirl\u0259rin\u0259 \u0259saslan\u0131r\u0131q\u201d<\/strong><\/em><\/p>\n<p>Bu s\u00f6zl\u0259ri V.A. Eskin, A.O. Malkhanov v\u0259 M.E. Smorkalov n\u00fcfuzlu \u201cJournal of Computational Physics\u201d jurnal\u0131nda 2025-ci ilin may ay\u0131nda \u00e7ap etdirdikl\u0259ri \u201cAre Two Hidden Layers Still Enough for the Physics\u2013Informed Neural Networks?\u201dm\u0259qal\u0259sind\u0259 s\u00f6yl\u0259mi\u015fl\u0259r.(bax: <a href=\"https:\/\/doi.org\/10.1016\/j.jcp.2025.114085).\">https:\/\/doi.org\/10.1016\/j.jcp.2025.114085).<\/a>\u00a0M\u0259qal\u0259 Kolmoqorov-Arnold superpozisiya teoremin\u0259, eyni zamanda Riyaziyyat v\u0259 Mexanika \u0130nstitutunun \u0259m\u0259kda\u015flar\u0131 \u2014 Funksiyalar n\u0259z\u0259riyy\u0259si \u015f\u00f6b\u0259sinin m\u00fcdiri professor V\u00fcqar \u0130smay\u0131lovun v\u0259 Funksional analiz \u015f\u00f6b\u0259sinin apar\u0131c\u0131 elmi i\u015f\u00e7isi fizika-riyaziyyat elml\u0259ri namiz\u0259di Namiq Quliyevin 2018-ci ild\u0259 Neurocomputing jurnal\u0131nda \u00e7ap etdirdikl\u0259ri n\u0259tic\u0259y\u0259 \u0259saslan\u0131r. Bel\u0259 ki, Kolmoqorov v\u0259 Arnold h\u0259l\u0259 ke\u00e7\u0259n \u0259srin 50-ci ill\u0259rind\u0259 ixtiyari k\u0259silm\u0259z \u00e7oxd\u0259yi\u015f\u0259nli funksiyan\u0131n bird\u0259yi\u015f\u0259nli funksiyalar\u0131n kompozisiyalar\u0131 v\u0259 c\u0259ml\u0259ri vasit\u0259sil\u0259 d\u0259qiq g\u00f6st\u0259rilm\u0259si \u00fc\u00e7\u00fcn d\u00fcstur alm\u0131\u015fd\u0131rlar. Namiq Quliyev v\u0259 V\u00fcqar \u0130smay\u0131lov is\u0259 isbat etmi\u015fl\u0259r ki, h\u0259min d\u00fcsturda olan b\u00fct\u00fcn bird\u0259yi\u015f\u0259nli funksiyalar\u0131 qeyd olunmu\u015f yegan\u0259 bird\u0259yi\u015f\u0259nli funksiya il\u0259 \u0259v\u0259z etm\u0259kl\u0259 iki gizli layl\u0131 neyron \u015f\u0259b\u0259k\u0259 modeli almaq olar v\u0259 bu modelin vasit\u0259si il\u0259 ixtiyari k\u0259silm\u0259z \u00e7oxd\u0259yi\u015f\u0259nli funksiyan\u0131 ist\u0259nil\u0259n d\u0259qiqlikl\u0259 approksimasiya etm\u0259k olar. Bundan \u0259lav\u0259 s\u00f6z\u00fc ged\u0259n qeyd olunmu\u015f funksiya da alqoritmik qurulmu\u015fdur (bax:\u00a0<a href=\"https:\/\/doi.org\/10.1016\/j.neucom.2018.07.075)\">https:\/\/doi.org\/10.1016\/j.neucom.2018.07.075)<\/a><\/p>\n<p>N\u00fcfuzlu beyn\u0259lxalq jurnalda institut \u0259m\u0259kda\u015flar\u0131n\u0131n adlar\u0131n\u0131n Kolmoqorov v\u0259 Arnold kimi dahi aliml\u0259rl\u0259 yana\u015f\u0131 \u00e7\u0259kilm\u0259si onlar\u0131n ald\u0131qlar\u0131 n\u0259tic\u0259nin vacibliyind\u0259n x\u0259b\u0259r verir. Bu istinad v\u0259 elmi n\u0259tic\u0259nin beyn\u0259lxalq s\u0259viyy\u0259d\u0259 tan\u0131nmas\u0131, Az\u0259rbaycan elminin y\u00fcks\u0259k s\u0259viyy\u0259d\u0259 t\u0259msil olundu\u011funu v\u0259 riyaziyyat\u0131n n\u0259z\u0259ri aspektl\u0259rinin s\u00fcni intellekt v\u0259 neyron \u015f\u0259b\u0259k\u0259l\u0259r kimi m\u00fcasir sah\u0259l\u0259r\u0259 t\u0259tbiqind\u0259 \u0259h\u0259miyy\u0259tli rol oynad\u0131\u011f\u0131n\u0131 bir daha g\u00f6st\u0259rir.<\/p>\n<p>Qeyd ed\u0259k ki, indiy\u0259 q\u0259d\u0259r Namiq Quliyev v\u0259 V\u00fcqar \u0130smay\u0131lovun h\u0259min n\u0259tic\u0259sin\u0259 m\u00fcxt\u0259lif xarici m\u00fct\u0259x\u0259ssisl\u0259rin 100-\u0259 yax\u0131n istinadlar\u0131 olmu\u015fdur. \u0130stinadlara baxmaq \u00fc\u00e7\u00fcn a\u015fa\u011f\u0131dak\u0131 link\u0259 ke\u00e7id edin:\u00a0<a href=\"https:\/\/scholar.google.com\/citations?view_op=view_citation&amp;hl=ru&amp;user=ziQBM_cAAAAJ&amp;citation_for_view=ziQBM_cAAAAJ:L8Ckcad2t8MC\">https:\/\/scholar.google.com\/citations?view_op=view_citation&amp;hl=ru&amp;user=ziQBM_cAAAAJ&amp;citation_for_view=ziQBM_cAAAAJ:L8Ckcad2t8MC\u00a0<\/a><\/p>\n<p><a href=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2025\/05\/n.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-216695\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2025\/05\/n.jpg\" alt=\"\" width=\"192\" height=\"272\" \/><\/a> <a href=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2025\/05\/v.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-216696\" src=\"https:\/\/www.imm.az\/exp\/wp-content\/uploads\/2025\/05\/v.jpg\" alt=\"\" width=\"183\" height=\"275\" \/><\/a><\/p>\n<p>\u00a9 B\u00fct\u00fcn h\u00fcquqlar qorunur. X\u0259b\u0259rl\u0259rd\u0259n istifad\u0259 ed\u0259rk\u0259n www.imm.az sayt\u0131na istinad z\u0259ruridir.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u201cBiz \u00f6z i\u015fimizd\u0259 Kolmoqorov, Arnold, Namiq Quliyev v\u0259 V\u00fcqar \u0130smay\u0131lovun fikirl\u0259rin\u0259 \u0259saslan\u0131r\u0131q\u201d Bu s\u00f6zl\u0259ri V.A. Eskin, A.O. Malkhanov v\u0259 M.E. Smorkalov n\u00fcfuzlu \u201cJournal of Computational Physics\u201d jurnal\u0131nda 2025-ci ilin may ay\u0131nda \u00e7ap etdirdikl\u0259ri \u201cAre Two Hidden Layers Still Enough for the Physics\u2013Informed Neural Networks?\u201dm\u0259qal\u0259sind\u0259 s\u00f6yl\u0259mi\u015fl\u0259r.(bax: https:\/\/doi.org\/10.1016\/j.jcp.2025.114085).\u00a0M\u0259qal\u0259 Kolmoqorov-Arnold superpozisiya teoremin\u0259, eyni zamanda Riyaziyyat v\u0259 Mexanika \u0130nstitutunun [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":216692,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[77],"tags":[],"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/216691"}],"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=216691"}],"version-history":[{"count":4,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/216691\/revisions"}],"predecessor-version":[{"id":216716,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/216691\/revisions\/216716"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media\/216692"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=216691"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=216691"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=216691"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}