{"id":18,"date":"2020-05-28T04:46:00","date_gmt":"2020-05-28T04:46:00","guid":{"rendered":"http:\/\/eventos.cmm.uchile.cl\/optimseminar\/?p=18"},"modified":"2020-07-15T12:14:22","modified_gmt":"2020-07-15T16:14:22","slug":"characterizing-the-calmness-property-in-convex-semi-infinite-optimization-modulus-estimates","status":"publish","type":"post","link":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/2020\/05\/characterizing-the-calmness-property-in-convex-semi-infinite-optimization-modulus-estimates\/","title":{"rendered":"Characterizing the calmness property in convex semi-infinite optimization. Modulus estimates."},"content":{"rendered":"<h3>Speaker: Prof. Marco Antonio L\u00f3pez Cerd\u00e1<br \/>\nUniversity of Alicante, Spain<\/h3>\n<h3>Date: Jun 03, 2020 at 10:00<\/h3>\n<p><strong>Abstract:<\/strong> We present an overview of the main results on calmness in convex<br \/>\nsemi-infinite optimization. The first part addresses the calmness of the<br \/>\nfeasible set and the optimal set mappings for the linear semi-infinite<br \/>\noptimization problem in the setting of canonical perturbations, and also<br \/>\nin the framework of full perturbations. While there exists a clear<br \/>\nproportionality between the calmness moduli of the feasible set mappings<br \/>\nin both contexts, the analysis of the relationship between the calmness<br \/>\nmoduli of the argmin mappings is much more complicated. Point-based<br \/>\nexpressions (only involving the nominal problem&#8217;s data) for the calmness<br \/>\nmoduli are provided. The second part focuses on convex semi-infinite<br \/>\noptimization, and provides a characterization of the H\u00f6lder calmness of<br \/>\nthe optimal set mapping, by showing its equivalence with the H\u00f6lder<br \/>\ncalmness of a certain (lower) level set mapping.<\/p>\n<p>The slides of the conference can be downloaded <a href=\"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-content\/uploads\/sites\/96\/2020\/05\/CMMMarco03-06-2020-Final.pdf\">here<\/a>.<\/p>\n<p><strong>Venue<\/strong>: Online via Google Meet &#8211; <a href=\"https:\/\/meet.google.com\/jps-drzk-jjd\" target=\"_blank\" rel=\"noopener noreferrer\">https:\/\/meet.google.com\/jps-drzk-jjd<\/a><\/p>\n<p><strong><span class=\"tlid-translation translation\" lang=\"en\"><span class=\"\" title=\"\">A brief biography of the speaker<\/span><\/span><\/strong>: Prof. Marco A. L\u00f3pez-Cerd\u00e1 received his education in Mathematics from Valencia University (graduate in 1971, doctor in 1973). In 1981 became Full Professor in Operations Research (OR, in brief); in 1985 moved to Alicante University, where is Emeritus Professor since September of 2019. Adjunct Professor of the Centre for Informatics and Applied Optimization (CIAO) at Federation University Australia (since 2013). Doctor Honoris Causa by the University of Limoges (July, 2012), and Corresponding Member of the Spanish Real Academia de Ciencias.\u00a0(Co)advisor of 17 Ph.D. students in several branches of OR such as semi-infinite programming, network flows, assignment problem, convex optimization, graphs, scheduling, game theory and variational analysis. His 1998 book (with M.A. Goberna) Linear Semi-Infinite Optimization is considered a classical in the field. 147 papers published (according to MathSciNet) in first-rank journals as Math. Programming, MOR, SIOPT, JOTA, Optimization, etc. His publications have been cited 1595 times by 543 authors (again according to MathSciNet). Other positions related to the OR community are: (co-)editor in chief of TOP (the OR journal of SEIO, the Spanish Society of Statistics and Operations Research) from 2000 to 2007, elected president of SEIO in 1986, chair of EUROPT in the period 2008-2010, coordinator of i-MATH Consolider (2006-2011), a huge research program of the Spanish Ministry of Education for all areas of mathematics, Associate Editor in JOTA, JIMO, RACSAM, SVVA, etc.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Coordinators<\/strong>: Abderrahim Hantoute and Fabi\u00e1n Flores-Baz\u00e1n (DIM-Universidad de Concepci\u00f3n)<\/p>\n<div id=\"gtx-trans\" style=\"position: absolute; left: 287px; top: 81px;\">\n<div class=\"gtx-trans-icon\"><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Speaker: Prof. Marco Antonio L\u00f3pez Cerd\u00e1 University of Alicante, Spain Date: Jun 03, 2020 at 10:00 Abstract: We present an overview of the main results on calmness in convex semi-infinite optimization. The first part addresses the calmness of the feasible set and the optimal set mappings for the linear semi-infinite optimization problem in the setting &hellip; <a href=\"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/2020\/05\/characterizing-the-calmness-property-in-convex-semi-infinite-optimization-modulus-estimates\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Characterizing the calmness property in convex semi-infinite optimization. Modulus estimates.<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[3],"tags":[],"class_list":["post-18","post","type-post","status-publish","format-standard","hentry","category-seminar"],"_links":{"self":[{"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/posts\/18","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/comments?post=18"}],"version-history":[{"count":14,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/posts\/18\/revisions"}],"predecessor-version":[{"id":72,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/posts\/18\/revisions\/72"}],"wp:attachment":[{"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/media?parent=18"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/categories?post=18"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/eventos.cmm.uchile.cl\/optimseminar\/wp-json\/wp\/v2\/tags?post=18"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}