{"id":4701,"date":"2026-08-13T14:51:19","date_gmt":"2026-08-13T12:51:19","guid":{"rendered":"https:\/\/ellistat.com\/?post_type=guide-dutilisateur&p=4701"},"modified":"2026-08-13T14:51:19","modified_gmt":"2026-08-13T12:51:19","slug":"blend-optimization","status":"publish","type":"guide-dutilisateur","link":"https:\/\/ellistat.com\/en\/guide-dutilisateur\/optimisation-de-melange\/","title":{"rendered":"Mix Optimization"},"content":{"rendered":"

Optimizing a formulation is not the same as optimizing a process, for a geometric reason: the proportions of the components\u00a0total of 100 %<\/strong>. You cannot increase the resin content without reducing something else, and a standard design of experiments that assumes independent factors does not apply.<\/p>\n\n\n\n

This module covers all the fundamentals of Bayesian optimization\u2014Gaussian processes, explained proposals, convergence, leave-one-out diagnostics, strategies, noise, search quality, and demo mode\u2014by applying them to the\u00a0simple<\/strong>, the domain of valid combinations.<\/p>\n\n\n\n

1. The Components<\/h2>\n\n\n\n

Each component has a name, a\u00a0minimum<\/strong>\u00a0and a\u00a0maximum<\/strong>\u00a0as a fraction, and perhaps\u00a0locked<\/strong>\u00a0to a fixed value. The module continuously checks the\u00a0feasibility<\/strong>\u00a0For the set as a whole: terminals whose minimum values sum to more than 1, or whose maximum values sum to less than 1, do not define any feasible mix, and the program flags this before performing any calculations.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The\u00a0initial plan<\/strong>\u00a0is not an Audze-Eglais but a plan\u00a0Maximin on the simplex<\/strong>\u00a0: mixtures that are as far apart as possible within the permitted range. The module recommends a number of tests based on the number of components\u2014at least seven, with ten recommended for three components\u2014and sets an upper limit of 100.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

As data is entered, each test result is checked for missing values, non-numeric values, out-of-range values, or\u00a0a sum other than 1<\/strong>. A command corrects invalid tests by resizing them to fit within the domain.<\/p>\n\n\n\n

2. The ternary diagram<\/h2>\n\n\n\n

With\u00a0three or more components<\/strong>, the dedicated tab displays a\u00a0ternary diagram<\/strong>\u00a0: the simplex triangle, the predicted answer highlighted in color, the tests conducted, the suggestions, and the areas\u00a0unfeasible<\/strong>\u00a0excluded by the bounds. A checkbox switches the display to show the uncertainty. If there are more than three components, the others are fixed at a single value, as shown on the Bayesian optimization map.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

\ud83d\udca1 The ternary diagram is\u00a0the<\/em>\u00a0A representation of a mixture, and it\u2019s worth learning how to read it: each vertex represents a pure component, each edge represents a binary mixture, and the center represents a mixture in equal parts. The areas shaded by the boundaries immediately reveal how much leeway the formulation constraints actually leave you\u2014often less than one might imagine.<\/p>\n\n\n\n

The remaining tabs\u2014Test Plan, Convergence, Diagnostics, Factors & Model, and Forecast\u2014are explained exactly as in Section 4, including the answers and suggestions.<\/p>\n\n\n\n

The other tabs are the same as those for Bayesian optimization.<\/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":"\nOptimisation de m\u00e9lange - Ellistat<\/title>\n<meta name=\"description\" content=\"Optimiser une formulation n\u2019est pas optimiser un proc\u00e9d\u00e9, pour une raison g\u00e9om\u00e9trique : les proportions des composants somment \u00e0 100 %.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ellistat.com\/en\/users-guide\/blend-optimization\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Optimisation de m\u00e9lange - 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