{"id":30721,"date":"2021-06-16T09:10:53","date_gmt":"2021-06-16T13:10:53","guid":{"rendered":"https:\/\/engineering.jhu.edu\/ams\/event\/special-seminar-faculty-candidate-yunan-yang\/"},"modified":"2022-09-08T12:54:21","modified_gmt":"2022-09-08T16:54:21","slug":"special-seminar-faculty-candidate-yunan-yang","status":"publish","type":"tribe_events","link":"https:\/\/engineering.jhu.edu\/ams\/event\/special-seminar-faculty-candidate-yunan-yang\/","title":{"rendered":"Special Seminar \u2013 Faculty Candidate Yunan Yang"},"content":{"rendered":"<p>Title \u2013\u00a0Optimal Transport for Inverse Problems and the Implicit Regularization<br \/>\nAbstract<br \/>\nOptimal transport has been one interesting topic of mathematical analysis since Monge (1781). The problem\u2019s close connections with differential geometry and kinetic descriptions were discovered within the past century, and the seminal work of Kantorovich (1942) showed its power to solve real-world problems. Recently, we proposed the quadratic Wasserstein distance from optimal transport theory for inverse problems, tackling the classical least-squares method\u2019s longstanding difficulties such as nonconvexity and noise sensitivity. The work was soon adopted in the oil industry. As we advance, we discover that the advantage of changing the data misfit is more general in a broader class of data-fitting problems by examining the preconditioning and \u201cimplicit\u201d regularization effects of different mathematical metrics as the objective function in optimization, as the likelihood function in Bayesian inference, and as the measure of residual in numerical solution to PDEs.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Title \u2013\u00a0Optimal Transport for Inverse Problems and the Implicit Regularization Abstract Optimal transport has been one interesting topic of mathematical analysis since Monge (1781). The problem\u2019s close connections with differential&hellip;<\/p>\n","protected":false},"author":3,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"","_relevanssi_noindex_reason":"","_tribe_events_status":"","_tribe_events_status_reason":"","footnotes":""},"tags":[],"tribe_events_cat":[],"class_list":["post-30721","tribe_events","type-tribe_events","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Special Seminar \u2013 Faculty Candidate Yunan Yang | Department of Applied Mathematics and Statistics<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/engineering.jhu.edu\/ams\/event\/special-seminar-faculty-candidate-yunan-yang\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Special Seminar \u2013 Faculty Candidate Yunan Yang | Department of Applied Mathematics and Statistics\" \/>\n<meta property=\"og:description\" content=\"Title \u2013\u00a0Optimal Transport for Inverse Problems and the Implicit Regularization Abstract Optimal transport has been one interesting topic of mathematical analysis since Monge (1781). The problem\u2019s close connections with differential&hellip;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/engineering.jhu.edu\/ams\/event\/special-seminar-faculty-candidate-yunan-yang\/\" \/>\n<meta property=\"og:site_name\" content=\"Department of Applied Mathematics and Statistics\" \/>\n<meta property=\"article:modified_time\" content=\"2022-09-08T16:54:21+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Special Seminar \u2013 Faculty Candidate Yunan Yang | Department of Applied Mathematics and Statistics","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/engineering.jhu.edu\/ams\/event\/special-seminar-faculty-candidate-yunan-yang\/","og_locale":"en_US","og_type":"article","og_title":"Special Seminar \u2013 Faculty Candidate Yunan Yang | Department of Applied Mathematics and Statistics","og_description":"Title \u2013\u00a0Optimal Transport for Inverse Problems and the Implicit Regularization Abstract Optimal transport has been one interesting topic of mathematical analysis since Monge (1781). The problem\u2019s close connections with differential&hellip;","og_url":"https:\/\/engineering.jhu.edu\/ams\/event\/special-seminar-faculty-candidate-yunan-yang\/","og_site_name":"Department of Applied Mathematics and Statistics","article_modified_time":"2022-09-08T16:54:21+00:00","twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/engineering.jhu.edu\/ams\/event\/special-seminar-faculty-candidate-yunan-yang\/","url":"https:\/\/engineering.jhu.edu\/ams\/event\/special-seminar-faculty-candidate-yunan-yang\/","name":"Special Seminar \u2013 Faculty Candidate Yunan Yang | Department of Applied Mathematics and Statistics","isPartOf":{"@id":"https:\/\/engineering.jhu.edu\/ams\/#website"},"datePublished":"2021-06-16T13:10:53+00:00","dateModified":"2022-09-08T16:54:21+00:00","breadcrumb":{"@id":"https:\/\/engineering.jhu.edu\/ams\/event\/special-seminar-faculty-candidate-yunan-yang\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/engineering.jhu.edu\/ams\/event\/special-seminar-faculty-candidate-yunan-yang\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/engineering.jhu.edu\/ams\/event\/special-seminar-faculty-candidate-yunan-yang\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/engineering.jhu.edu\/ams\/"},{"@type":"ListItem","position":2,"name":"Events","item":"https:\/\/engineering.jhu.edu\/ams\/events\/"},{"@type":"ListItem","position":3,"name":"Special Seminar \u2013 Faculty Candidate Yunan Yang"}]},{"@type":"WebSite","@id":"https:\/\/engineering.jhu.edu\/ams\/#website","url":"https:\/\/engineering.jhu.edu\/ams\/","name":"Hopkins Applied Math & Statistics","description":"Department of Applied Mathematics and Statistics","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/engineering.jhu.edu\/ams\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"distributor_meta":false,"distributor_terms":false,"distributor_media":false,"distributor_original_site_name":"Department of Applied Mathematics and Statistics","distributor_original_site_url":"https:\/\/engineering.jhu.edu\/ams","push-errors":false,"_links":{"self":[{"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/tribe_events\/30721","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/tribe_events"}],"about":[{"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/types\/tribe_events"}],"author":[{"embeddable":true,"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/users\/3"}],"version-history":[{"count":2,"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/tribe_events\/30721\/revisions"}],"predecessor-version":[{"id":42667,"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/tribe_events\/30721\/revisions\/42667"}],"wp:attachment":[{"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/media?parent=30721"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/tags?post=30721"},{"taxonomy":"tribe_events_cat","embeddable":true,"href":"https:\/\/engineering.jhu.edu\/ams\/wp-json\/wp\/v2\/tribe_events_cat?post=30721"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}