{"id":3470,"date":"2025-06-13T16:29:02","date_gmt":"2025-06-13T14:29:02","guid":{"rendered":"https:\/\/wordpress.wvs-berlin.de\/?p=3470"},"modified":"2025-06-13T16:31:07","modified_gmt":"2025-06-13T14:31:07","slug":"13-6-2025","status":"publish","type":"post","link":"https:\/\/wordpress.wvs-berlin.de\/?p=3470","title":{"rendered":"13.6.2025"},"content":{"rendered":"\n<p>Noch keiner da im Raum 209. Angelo war da und Herr H\u00e4ttig. Wir haben \u00fcber KI geredet. <br><br>\ud83d\udccb Protokoll Computer-AG: &#8222;Von Matrizen zu KI&#8220;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Angelo&#8217;s Entdeckung: Matrix-Quadrierung<\/strong> \ud83c\udfaf<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>A\u00b2<\/strong> z\u00e4hlt automatisch <strong>Wege der L\u00e4nge 2<\/strong> in Graphen<\/li>\n\n\n\n<li><strong>Matrixpotenzen = Weg-Z\u00e4hler<\/strong> (A\u00b3 = 3-Schritt-Wege, etc.)<\/li>\n\n\n\n<li><strong>Transposition A^T<\/strong> = alle Pfeile umdrehen<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Lehrer-Input: Praktische Anwendungen<\/strong> \ud83d\udc68\u200d\ud83c\udfeb<\/h2>\n\n\n\n<p><strong>\ud83c\udf10 PageRank (Google-Algorithmus):<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Webseiten = Knoten, Links = Kanten<\/li>\n\n\n\n<li>Wichtigkeit durch iterative Matrix-Multiplikation<\/li>\n<\/ul>\n\n\n\n<p><strong>\ud83d\udcca Laplace-Matrizen (L = D &#8211; A):<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Spektrales Clustering, Community-Detection<\/li>\n\n\n\n<li>Netzwerk-Analyse, Diffusion<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Abitur-Relevanz: Automatentheorie<\/strong> \ud83d\udcda<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>DFA<\/strong> = Adjazenzmatrizen f\u00fcr Zustands\u00fcberg\u00e4nge<\/li>\n\n\n\n<li><strong>Matrix[i,j] = 1<\/strong> bedeutet &#8222;\u00dcbergang von Zustand i zu j m\u00f6glich&#8220;<\/li>\n\n\n\n<li><strong>Beispiele:<\/strong> Passwort-Validator, Bin\u00e4r-Checker, M\u00fcnzautomat<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Neuronale Netze: Der Paradigmenwechsel<\/strong> \ud83e\udde0<\/h2>\n\n\n\n<p><strong>Unterschied zu Automaten:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Automaten:<\/strong> Diskrete Logik (0 oder 1)<\/li>\n\n\n\n<li><strong>Neuronale Netze:<\/strong> Kontinuierliche Gewichtungen (0.0-1.0)<\/li>\n<\/ul>\n\n\n\n<p><strong>Mathematik:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Perceptron:<\/strong> z = w\u20d7 \u00b7 x\u20d7 + b, y = \u03c3(z)<\/li>\n\n\n\n<li><strong>Multilayer:<\/strong> Kaskade von Matrix-Multiplikationen<\/li>\n\n\n\n<li><strong>Forward Pass:<\/strong> W\u2081 \u2192 W\u2082 \u2192 W\u2083 \u2192 Output<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Fazit<\/strong> \u2728<\/h2>\n\n\n\n<p><strong>Von Angelo&#8217;s Computer-AG zu Hochschul-Informatik:<\/strong> Matrix-Quadrierung \u2192 PageRank \u2192 Automatentheorie \u2192 KI<\/p>\n\n\n\n<p><strong>N\u00e4chste Sitzung:<\/strong> Implementierung eigener DFA-Beispiele? \ud83e\udd16<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><em>Protokollant: KI-Assistent | Teilnehmer: Angelo, Lehrer, Computer-AG<\/em><br><br>N\u00e4chste Mal vermutlich nicht. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Noch keiner da im Raum 209. Angelo war da und Herr H\u00e4ttig. Wir haben \u00fcber KI geredet. \ud83d\udccb Protokoll Computer-AG: &#8222;Von Matrizen zu KI&#8220; Angelo&#8217;s Entdeckung: Matrix-Quadrierung \ud83c\udfaf Lehrer-Input: Praktische Anwendungen \ud83d\udc68\u200d\ud83c\udfeb \ud83c\udf10 PageRank (Google-Algorithmus): \ud83d\udcca Laplace-Matrizen (L = D &#8211; A): Abitur-Relevanz: Automatentheorie \ud83d\udcda Neuronale Netze: Der Paradigmenwechsel \ud83e\udde0 Unterschied zu Automaten: Mathematik: Fazit [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[76,1,83,3,7],"tags":[],"class_list":["post-3470","post","type-post","status-publish","format-standard","hentry","category-ai","category-allgemein","category-ki","category-tagesberichte","category-termine"],"_links":{"self":[{"href":"https:\/\/wordpress.wvs-berlin.de\/index.php?rest_route=\/wp\/v2\/posts\/3470","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wordpress.wvs-berlin.de\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wordpress.wvs-berlin.de\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wordpress.wvs-berlin.de\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wordpress.wvs-berlin.de\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3470"}],"version-history":[{"count":2,"href":"https:\/\/wordpress.wvs-berlin.de\/index.php?rest_route=\/wp\/v2\/posts\/3470\/revisions"}],"predecessor-version":[{"id":3472,"href":"https:\/\/wordpress.wvs-berlin.de\/index.php?rest_route=\/wp\/v2\/posts\/3470\/revisions\/3472"}],"wp:attachment":[{"href":"https:\/\/wordpress.wvs-berlin.de\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3470"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wordpress.wvs-berlin.de\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3470"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wordpress.wvs-berlin.de\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3470"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}