{"id":292,"date":"2022-12-07T16:48:52","date_gmt":"2022-12-07T15:48:52","guid":{"rendered":"https:\/\/www.mines-stetienne.fr\/fayol\/?page_id=292"},"modified":"2022-12-07T16:52:12","modified_gmt":"2022-12-07T15:52:12","slug":"these-preparee-par-andres-f-lopez-lopera","status":"publish","type":"page","link":"https:\/\/www.mines-stetienne.fr\/fayol\/theses\/these-preparee-par-andres-f-lopez-lopera\/","title":{"rendered":"Th\u00e8se pr\u00e9par\u00e9e par Andr\u00e9s F. LOPEZ-LOPERA"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\"><\/h2>\n\n\n\n<p class=\"has-text-align-center\"><a href=\"\/fayol\/recherche\/genie-mathematique-et-industriel\/\">|D\u00e9partement G\u00e9nie math\u00e9matique et industriel |<\/a><br><a href=\"\/fayol\/recherche\/genie-mathematique-et-industriel\/projets\/\">| Projets<\/a><a href=\"https:\/\/www.mines-stetienne.fr\/recherche\/departements\/departement-genie-de-l-environnement-et-des-organisations\/partenaires\/\"> | <\/a><em><a href=\"\/fayol\/recherche\/genie-mathematique-et-industriel\/equipe\/\">\u00c9quipe<\/a><\/em> | <a href=\"\/fayol\/recherche\/genie-mathematique-et-industriel\/publications\/\">Publications<\/a><a href=\"\/fayol\/recherche\/genie-mathematique-et-industriel\/partenaires\/\"> | <\/a><a href=\"\/fayol\/recherche\/genie-mathematique-et-industriel\/partenaires\/\">Partenaires |<\/a><\/p>\n\n\n\n<p><strong>Titre :&nbsp;<\/strong> Mod\u00e9lisation par processus gaussiens sous  contraintes d\u2019in\u00e9galit\u00e9 <\/p>\n\n\n\n<p><strong>R\u00e9sum\u00e9 :&nbsp;<\/strong> Le conditionnement de Processus Gaussiens (PG) par des contraintes d\u2019in\u00e9galit\u00e9 permet d\u2019obtenir des mod\u00e8les plus r\u00e9alistes. Cette th\u00e8se s\u2019int\u00e9resse au mod\u00e8le de type PG propos\u00e9 par Maatouk (2015), obtenu par approximation finie, qui garantit que les contraintes sont satisfaites dans tout l\u2019espace. Plusieurs contributions sont apport\u00e9es. Premi\u00e8rement, nous \u00e9tudions l\u2019emploi de m\u00e9thodes de Monte Carlo par cha\u0131\u0302nes de Markov pour des lois multinormales tronqu\u00e9es. Elles fournissent un \u00e9chantillonnage efficace pour des contraintes d\u2019in\u00e9galit\u00e9 lin\u00e9aires. Deuxi\u00e8mement, nous explorons l\u2019extension du mod\u00e8le, jusque-l\u00e0 limit\u00e9 \u00e0 la dimension trois, \u00e0 de plus grandes dimensions. Nous remarquons que l\u2019introduction d\u2019un bruit d\u2019observations permet de monter \u00e0 la dimension cinq. Nous proposons un algorithme d\u2019insertion des n\u0153uds, qui concentre le budget de calcul sur les dimensions les plus actives. Nous explorons aussi la triangulation de Delaunay comme alternative \u00e0 la tensorisation. Enfin, nous \u00e9tudions l\u2019utilisation de mod\u00e8les additifs dans ce contexte, th\u00e9oriquement et sur des probl\u00e8mes de plusieurs centaines de variables. Troisi\u00e8mement, nous donnons des r\u00e9sultats th\u00e9oriques sur l\u2019inf\u00e9rence sous contraintes d\u2019in\u00e9galit\u00e9. La consistance et la normalit\u00e9 asymptotique d\u2019estimateurs par maximum de vraisemblance sont \u00e9tablies. L\u2019ensemble des travaux a fait l\u2019objet d\u2019un d\u00e9veloppement logiciel en R. Ils sont appliqu\u00e9s \u00e0 des probl\u00e8mes de gestion des risques en s\u00fbret\u00e9 nucl\u00e9aire et inondations c\u00f4ti\u00e8res, avec des contraintes de positivit\u00e9 et monotonie. Comme ouverture, nous montrons que la m\u00e9thodologie fournit un cadre original pour l\u2019\u00e9tude de processus de Poisson d\u2019intensit\u00e9 stochastique.<\/p>\n\n\n\n<p><strong>Soutenance pr\u00e9vue :<\/strong> Septembre 2019<\/p>\n\n\n\n<p> <strong>Jury :<\/strong> <\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Sonja KUHNT, FH Dortmund, Allemagne (Rapportrice)<\/li>\n\n\n\n<li>Anthony NOUY, \u00c9cole Centrale de Nantes, France (Rapporteur)<\/li>\n\n\n\n<li>Cl\u00e9mentine PRIEUR, Universit\u00e9 Grenoble Alpes, France (Examinatrice)<\/li>\n\n\n\n<li>Maurizio FILIPPONE, EURECOM, France (Examinateur)<\/li>\n\n\n\n<li>Olivier ROUSTANT, Mines Saint-\u00c9tienne, France (Directeur de th\u00e8se)<\/li>\n\n\n\n<li>Fran\u00e7ois BACHOC, Univ. Paul Sabatier, France (Co-encadrant  de th\u00e8se)<\/li>\n\n\n\n<li>Nicolas DURRANDE, PROWLER.io, Angleterre (Co-encadrant de th\u00e8se)<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\"><a href=\"https:\/\/www.mines-stetienne.fr\/recherche\/departements\/departement-genie-mathematique-et-industriel\/\">|D\u00e9partement G\u00e9nie math\u00e9matique et industriel |<\/a><br><a href=\"https:\/\/www.mines-stetienne.fr\/recherche\/departements\/departement-genie-mathematique-et-industriel\/projets\/\">| Projets<\/a><a href=\"https:\/\/www.mines-stetienne.fr\/recherche\/departements\/departement-genie-de-l-environnement-et-des-organisations\/partenaires\/\"> | <\/a><em><a href=\"https:\/\/www.mines-stetienne.fr\/recherche\/departements\/departement-genie-mathematique-et-industriel\/equipe\/\">\u00c9quipe<\/a><\/em> | <a href=\"https:\/\/www.mines-stetienne.fr\/recherche\/departements\/departement-genie-mathematique-et-industriel\/publications\/\">Publications<\/a><a href=\"https:\/\/www.mines-stetienne.fr\/recherche\/departements\/departement-genie-de-l-environnement-et-des-organisations\/partenaires\/\"> | <\/a><a href=\"https:\/\/www.mines-stetienne.fr\/recherche\/departements\/departement-genie-mathematique-et-industriel\/partenaires\/\">Partenaires |<\/a><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>|D\u00e9partement G\u00e9nie math\u00e9matique et industriel || Projets | \u00c9quipe | Publications | Partenaires | Titre :&nbsp; Mod\u00e9lisation par processus gaussiens sous contraintes d\u2019in\u00e9galit\u00e9 R\u00e9sum\u00e9 :&nbsp; Le conditionnement de Processus Gaussiens (PG) par des contraintes d\u2019in\u00e9galit\u00e9 permet d\u2019obtenir des mod\u00e8les plus &hellip;<\/p>\n","protected":false},"author":1536,"featured_media":0,"parent":286,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"tags":[],"class_list":["post-292","page","type-page","status-publish","hentry"],"pp_statuses_selecting_workflow":false,"pp_workflow_action":"current","pp_status_selection":"publish","pp_force_visibility":null,"pp_subpost_visibility":null,"pp_inherited_force_visibility":null,"pp_inherited_subpost_visibility":null,"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Th\u00e8se pr\u00e9par\u00e9e par Andr\u00e9s F. 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