[{"command":"insert","method":null,"selector":".course-modal-ajax-placeholder-966645","data":"\u003Cdiv class=\u0022container content-rte\u0022\u003E\n  \u003Cdiv class=\u0022row\u0022\u003E\n    \u003Cdiv class=\u0022box col-md-6 bg-primary text-white\u0022\u003E\n      \u003Ch2 class=\u0022h1 text-left\u0022\u003E  Optimisation (M2 Maths et IA)\n\u003C\/h2\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EECTS :\n          5\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ESemestre calendaire :\n          Semester 1\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n            \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ED\u00e9tail du volume horaire\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                          \u003Cspan class=\u0022field__label h4 mt-5 \u0022\u003ECours magistraux :\u003C\/span\u003E\n                                      \u003Cspan\u003E24\u003C\/span\u003E\n                      \u003C\/div\u003E\n                                                                                        \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ELangue d\u0026#039;enseignement\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EFran\u00e7ais\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EEnseignement \u00e0 distance\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003Enon\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n    \u003Cdiv class=\u0022box col-md-6\u0022\u003E\n                    \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EProgramme \/ plan \/ contenus\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cul\u003E\n\u003Cli\u003EProbl\u00e8mes d\u2019optimisation, Existence et unicit\u00e9, Caract\u00e9risation des\u003Cbr\u003E\nsolutions\u003C\/li\u003E\n\u003Cli\u003ETh\u00e9or\u00e8me de Fritz John\u003C\/li\u003E\n\u003Cli\u003EM\u00e9thodes num\u00e9riques pour la recherche de minima locaux sans\u003Cbr\u003E\ncontraintes\u003C\/li\u003E\n\u003Cli\u003EOptimisation sous contraintes : projection, p\u00e9nalisation, dualit\u00e9\u003C\/li\u003E\n\u003Cli\u003EContr\u00f4le optimal\u003C\/li\u003E\n\u003Cli\u003EM\u00e9thodes heuristiques\u003C\/li\u003E\n\u003Cli\u003ER\u00e9solution exacte de probl\u00e8mes d\u2019optimisation discr\u00e8te : branch\u003Cbr\u003E\nand bound\u003C\/li\u003E\n\u003Cli\u003EPrincipaux probl\u00e8me d\u2019optimisation sur les graphes\u003C\/li\u003E\n\u003C\/ul\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EObjectifs d\u0026#039;apprentissage\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EL\u0027optimisation est le domaine \u00e9tudiant la minimisation ou la maximisation d\u0027un crit\u00e8re \u00e0 valeurs r\u00e9elles. Pour l\u2019optimisation continue, le crit\u00e8re est d\u00e9fini sur un ensemble ferm\u00e9, d\u0027int\u00e9rieur non vide. Pour l\u2019optimisation discr\u00e8te, le crit\u00e8re est d\u00e9fini sur un ensemble fini ou d\u00e9nombrable.\u003Cbr\u003E\nL\u2019objectif de ce cours est tout d\u2019abord de pr\u00e9senter le cadre formel des probl\u00e8mes d\u2019optimisation et d\u2019\u00e9tudier les questions d\u2019existence et d\u2019unicit\u00e9, de caract\u00e9risation des solutions.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EOrganisation g\u00e9n\u00e9rale et modalit\u00e9s p\u00e9dagogiques\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003ECe cours d\u0027adresse principalement aux \u00e9l\u00e8ves de CentraleSupelec qui ne l\u0027auraient pas d\u00e9j\u00e0 suivi\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n                        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EBibliographie\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003ECulioli, J. (1994). Introduction \u00e0 l\u0027Optimisation. Paris : Ellipses.\u003Cbr\u003E\nEvans, LC. (1987). An Introduction to Mathematical Optimal Control Theory. Berkeley Lecture Notes.\u003Cbr\u003E\nHiriart-Urruty, J. and Lemar\u00e9chal, C. (2001). Fundamentals of Convex Analysis. Springer-Verlag.\u003Cbr\u003E\nNocedal, J. and Wright, S. (2006). Numerical Optimization (2nd ed.). Springer-Verlag.\u003Cbr\u003E\nCharon I., Germa A et Hudry O. (1996). M\u00e9thodes d\u0027optimisation combinatoire, Masson.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ENature de l\u0026#039;\u00e9valuation\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EEvaluation Continue non Int\u00e9grale\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n  \u003C\/div\u003E\n\u003C\/div\u003E\n","settings":null}]