{"id":310,"date":"2024-06-08T15:26:41","date_gmt":"2024-06-08T13:26:41","guid":{"rendered":"https:\/\/math.univ-lyon1.fr\/perso\/?page_id=310"},"modified":"2025-01-30T08:09:34","modified_gmt":"2025-01-30T07:09:34","slug":"perceptron","status":"publish","type":"page","link":"https:\/\/math.univ-lyon1.fr\/perso\/sylvie-benzoni-gavage\/perceptron\/","title":{"rendered":"Perceptron"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Le perceptron<\/h2>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/math.univ-lyon1.fr\/perso\/sylvie-benzoni-gavage\/\">Sylvie Benzoni-Gavage<\/a><\/div>\n<\/div>\n\n\n\n<p>Derri\u00e8re ce terme \u00e9trange de \u00ab\u00a0perceptron\u00a0\u00bb se cache l\u2019un des principes de base de l\u2019intelligence artificielle: la s\u00e9paration de donn\u00e9es de la mani\u00e8re la plus simple possible, g\u00e9om\u00e9triquement parlant.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"768\" src=\"https:\/\/math.univ-lyon1.fr\/perso\/wp-content\/uploads\/2024\/06\/separation-droite-LR-1024x768.jpg\" alt=\"\" class=\"wp-image-216\" srcset=\"https:\/\/math.univ-lyon1.fr\/perso\/wp-content\/uploads\/2024\/06\/separation-droite-LR-1024x768.jpg 1024w, https:\/\/math.univ-lyon1.fr\/perso\/wp-content\/uploads\/2024\/06\/separation-droite-LR-300x225.jpg 300w, https:\/\/math.univ-lyon1.fr\/perso\/wp-content\/uploads\/2024\/06\/separation-droite-LR-768x576.jpg 768w, https:\/\/math.univ-lyon1.fr\/perso\/wp-content\/uploads\/2024\/06\/separation-droite-LR-1536x1152.jpg 1536w, https:\/\/math.univ-lyon1.fr\/perso\/wp-content\/uploads\/2024\/06\/separation-droite-LR-2048x1536.jpg 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">S\u00e9paration de lentilles par une droite<\/figcaption><\/figure>\n\n\n\n<p>Vous trouverez ici deux documents concernant la s\u00e9paration de donn\u00e9es&nbsp;:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>une <a href=\"http:\/\/math.univ-lyon1.fr\/homes-www\/benzoni\/vulga-perceptron.pdf\"><strong>pr\u00e9sentation vulgaris\u00e9e<\/strong><\/a> du perceptron, avec beaucoup d\u2019images,<\/li>\n\n\n\n<li>une pr\u00e9sentation du perceptron con\u00e7ue comme un <a href=\"http:\/\/math.univ-lyon1.fr\/homes-www\/benzoni\/bases-perceptron.pdf\"><strong>mini-cours <\/strong>accessible<\/a> \u00e0 des \u00e9tudiantes et \u00e9tudiants de L3 maths, disons.<\/li>\n<\/ul>\n\n\n\n<p>Un peu de g\u00e9om\u00e9trie et de probabilit\u00e9s, pas trop de jargon, c\u2019est sans pr\u00e9tention. \u00c0 vous de plonger dans le sujet!<\/p>\n\n\n\n<p>Dans la<\/p>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"399\" height=\"95\" src=\"https:\/\/math.univ-lyon1.fr\/perso\/wp-content\/uploads\/2024\/06\/logo-Maison-Poincare.png\" alt=\"\" class=\"wp-image-296\" srcset=\"https:\/\/math.univ-lyon1.fr\/perso\/wp-content\/uploads\/2024\/06\/logo-Maison-Poincare.png 399w, https:\/\/math.univ-lyon1.fr\/perso\/wp-content\/uploads\/2024\/06\/logo-Maison-Poincare-300x71.png 300w\" sizes=\"auto, (max-width: 399px) 100vw, 399px\" \/><\/figure>\n\n\n\n<p>mus\u00e9e des math\u00e9matiques concoct\u00e9 par l\u2019<a href=\"https:\/\/www.ihp.fr\/fr\">Institut Henri Poincar\u00e9<\/a>, on peut voir un exemple en 3D de s\u00e9paration de donn\u00e9es: ce sont les boules bleues et rouges visibles <a href=\"https:\/\/www.ihp.fr\/fr\/espace-presse#gallery-paragraph-id-2986-3\">ici<\/a> (dans la partie intitul\u00e9e \u00ab&nbsp;Hasard et donn\u00e9es&nbsp;\u00bb de l\u2019espace MOD\u00c9LISER); elle jouent le m\u00eame r\u00f4le dans l\u2019espace que les lentilles corail et vertes dispers\u00e9es sur la table que l\u2019on peut voir plus haut.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Le perceptron Derri\u00e8re ce terme \u00e9trange de \u00ab\u00a0perceptron\u00a0\u00bb se cache l\u2019un des principes de base de l\u2019intelligence artificielle: la s\u00e9paration de donn\u00e9es de la mani\u00e8re la plus simple possible, g\u00e9om\u00e9triquement parlant. Vous trouverez ici deux documents concernant la s\u00e9paration de donn\u00e9es&nbsp;: Un peu de g\u00e9om\u00e9trie et de probabilit\u00e9s, pas trop de jargon, c\u2019est sans pr\u00e9tention. [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":9,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-310","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/pages\/310","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/comments?post=310"}],"version-history":[{"count":15,"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/pages\/310\/revisions"}],"predecessor-version":[{"id":530,"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/pages\/310\/revisions\/530"}],"up":[{"embeddable":true,"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/pages\/9"}],"wp:attachment":[{"href":"https:\/\/math.univ-lyon1.fr\/perso\/wp-json\/wp\/v2\/media?parent=310"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}