{"id":2042,"date":"2026-10-18T17:42:41","date_gmt":"2026-10-18T17:42:41","guid":{"rendered":"https:\/\/iludis.de\/?p=2042"},"modified":"2026-10-18T19:29:13","modified_gmt":"2026-10-18T19:29:13","slug":"approximationstheorem-und-lernverhalten","status":"publish","type":"post","link":"https:\/\/iludis.de\/?p=2042","title":{"rendered":"Approximationstheorem und Lernverhalten"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Warum kann ein neuronales Netz (fast) jede Funktion lernen, und wie sieht das Lernen von Schicht zu Schicht aus?<\/p>\n\n\n\n<div class=\"wp-block-group is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-995f960e wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-group has-palette-color-7-background-color has-background is-layout-constrained wp-block-group-is-layout-constrained\">\n<p><\/p>\n<h4 class=\"wp-block-heading\">Approximationstheorem<\/h4>\n<p>\n\n<\/p>\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/iludis.de\/Tools\/approximationstheorem.html\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1838\" src=\"https:\/\/iludis.de\/wp-content\/uploads\/2026\/01\/approximation_360x188.png\" alt=\"\" width=\"360\" height=\"188\" srcset=\"https:\/\/iludis.de\/wp-content\/uploads\/2026\/01\/approximation_360x188.png 360w, https:\/\/iludis.de\/wp-content\/uploads\/2026\/01\/approximation_360x188-300x157.png 300w\" sizes=\"auto, (max-width: 360px) 100vw, 360px\" \/><\/a><br \/><a href=\"https:\/\/iludis.de\/Tools\/approximationstheorem.html\" target=\"_blank\" rel=\"noopener\">App \u00f6ffnen: Approximationstheorem<\/a><br \/>Visualisierung des fundamentalen Approximationstheorems<\/p>\n<p><\/p>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-group has-palette-color-7-background-color has-background is-layout-constrained wp-block-group-is-layout-constrained\">\n<p><\/p>\n<h4 class=\"wp-block-heading\">Lernverhalten neuronaler Netze<\/h4>\n<p>\n\n<\/p>\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/iludis.de\/Tools\/visualisierung_layer.html\" target=\"_blank\" rel=\"noopener\">App \u00f6ffnen: Lernverhalten neuronaler Netze<\/a><br \/>Visualisierung des Lernverhaltens neuronaler Netze<\/p>\n<p><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Siehe auch:<\/strong> <a href=\"https:\/\/iludis.de\/?p=1608\">Simulationen zu Neuronalen Netzen<\/a> \u00b7 <a href=\"https:\/\/iludis.de\/?p=1497\">Mathematik &amp; Theorie in KI\/ML<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Visualisierung des universellen Approximationstheorems und des Lernverhaltens neuronaler Netze.<\/p>\n","protected":false},"author":1,"featured_media":1838,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20],"tags":[],"class_list":["post-2042","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ki-dqr5"],"_links":{"self":[{"href":"https:\/\/iludis.de\/index.php?rest_route=\/wp\/v2\/posts\/2042","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/iludis.de\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/iludis.de\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/iludis.de\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/iludis.de\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2042"}],"version-history":[{"count":3,"href":"https:\/\/iludis.de\/index.php?rest_route=\/wp\/v2\/posts\/2042\/revisions"}],"predecessor-version":[{"id":2155,"href":"https:\/\/iludis.de\/index.php?rest_route=\/wp\/v2\/posts\/2042\/revisions\/2155"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/iludis.de\/index.php?rest_route=\/wp\/v2\/media\/1838"}],"wp:attachment":[{"href":"https:\/\/iludis.de\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2042"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/iludis.de\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2042"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/iludis.de\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2042"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}