{"id":4701,"date":"2026-08-13T14:51:19","date_gmt":"2026-08-13T12:51:19","guid":{"rendered":"https:\/\/ellistat.com\/?post_type=guide-dutilisateur&#038;p=4701"},"modified":"2026-08-13T14:51:19","modified_gmt":"2026-08-13T12:51:19","slug":"optimisation-de-melange","status":"publish","type":"guide-dutilisateur","link":"https:\/\/ellistat.com\/de\/guide-dutilisateur\/optimisation-de-melange\/","title":{"rendered":"Mischoptimierung"},"content":{"rendered":"<p class=\"wp-block-paragraph\">Optimiser une formulation n\u2019est pas optimiser un proc\u00e9d\u00e9, pour une raison g\u00e9om\u00e9trique : les proportions des composants\u00a0<strong>somment \u00e0 100 %<\/strong>. On ne peut pas augmenter la r\u00e9sine sans diminuer autre chose, et un plan d\u2019exp\u00e9riences classique qui suppose les facteurs ind\u00e9pendants ne s\u2019applique pas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ce module reprend toute la machinerie de l\u2019optimisation bay\u00e9sienne, processus gaussien, propositions expliqu\u00e9es, convergence, diagnostic leave-one-out, strat\u00e9gies, bruit, qualit\u00e9 de recherche, mode d\u00e9mo  en la posant sur le\u00a0<strong>simplex<\/strong>, le domaine des m\u00e9langes valides.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">1. Les composantes<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Chaque composant a un nom, un\u00a0<strong>Minimum<\/strong>\u00a0et un\u00a0<strong>maximal<\/strong>\u00a0en fraction, et peut \u00eatre\u00a0<strong>verrouill\u00e9<\/strong>\u00a0\u00e0 une valeur fixe. Le module v\u00e9rifie en permanence la\u00a0<strong>faisabilit\u00e9<\/strong>\u00a0de l\u2019ensemble : des bornes dont les minimums somment \u00e0 plus de 1, ou dont les maximums somment \u00e0 moins de 1, ne d\u00e9finissent aucun m\u00e9lange r\u00e9alisable et il le signale avant tout calcul.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"164\" height=\"242\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/composantes.png\" alt=\"\" class=\"wp-image-4702\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/composantes.png 164w, https:\/\/ellistat.com\/wp-content\/uploads\/composantes-8x12.png 8w\" sizes=\"auto, (max-width: 164px) 100vw, 164px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Die\u00a0<strong>plan initial<\/strong>\u00a0n\u2019est pas un Audze-Eglais mais un plan\u00a0<strong>maximin sur le simplexe<\/strong>\u00a0: les m\u00e9langes les plus \u00e9loign\u00e9s possible les uns des autres \u00e0 l\u2019int\u00e9rieur du domaine autoris\u00e9. Le module recommande un nombre d\u2019essais selon le nombre de composants, sept au minimum, dix conseill\u00e9s pour trois composants et le plafonne \u00e0 cent.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"644\" height=\"264\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/plan-initial.png\" alt=\"\" class=\"wp-image-4703\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/plan-initial.png 644w, https:\/\/ellistat.com\/wp-content\/uploads\/plan-initial-300x123.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/plan-initial-18x7.png 18w\" sizes=\"auto, (max-width: 644px) 100vw, 644px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u00c0 la saisie, chaque essai est contr\u00f4l\u00e9 : valeur manquante, non num\u00e9rique, hors bornes, ou\u00a0<strong>somme diff\u00e9rente de 1<\/strong>. Une commande corrige les essais invalides en reprojetant leurs proportions dans le domaine.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">2. Le diagramme ternaire<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Mit\u00a0<strong>trois composants ou plus<\/strong>, l\u2019onglet d\u00e9di\u00e9 affiche un\u00a0<strong>diagramme ternaire<\/strong>\u00a0: le triangle du simplexe, la r\u00e9ponse pr\u00e9dite en fond de couleur, les essais r\u00e9alis\u00e9s, les propositions, et les zones\u00a0<strong>non r\u00e9alisables<\/strong>\u00a0exclues par les bornes. Une case bascule l\u2019affichage sur l\u2019incertitude. Au-del\u00e0 de trois composants, les autres sont fig\u00e9s \u00e0 une valeur, comme sur la carte de l\u2019optimisation bay\u00e9sienne.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"490\" height=\"368\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/diagramme-ternaire.png\" alt=\"\" class=\"wp-image-4704\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/diagramme-ternaire.png 490w, https:\/\/ellistat.com\/wp-content\/uploads\/diagramme-ternaire-300x225.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/diagramme-ternaire-16x12.png 16w\" sizes=\"auto, (max-width: 490px) 100vw, 490px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udca1 Le diagramme ternaire est\u00a0<em>die<\/em>\u00a0repr\u00e9sentation d\u2019un m\u00e9lange, et il vaut la peine d\u2019apprendre \u00e0 le lire : chaque sommet est le composant pur, chaque c\u00f4t\u00e9 un m\u00e9lange binaire, et le centre le m\u00e9lange \u00e0 parts \u00e9gales. Les zones gris\u00e9es par les bornes rendent imm\u00e9diatement visible ce que les contraintes de formulation vous laissent r\u00e9ellement comme marge de man\u0153uvre souvent moins qu\u2019on ne l\u2019imagine.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Le reste des onglets : plan d\u2019essais, convergence, diagnostic, facteurs &amp; mod\u00e8le, pr\u00e9vision se lit exactement comme au \u00a7 4, r\u00e9ponse et propositions comprises.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Les autres onglets sont les m\u00eames que pour l\u2019optimisation bay\u00e9sienne.<\/p>","protected":false},"featured_media":0,"menu_order":50,"template":"","meta":{"_acf_changed":true},"menu-guide-dutilisateur":[32],"class_list":["post-4701","guide-dutilisateur","type-guide-dutilisateur","status-publish","hentry","menu-guide-dutilisateur-8-ml-machine-learning"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Optimisation de m\u00e9lange - 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