{"id":567,"date":"2014-02-19T16:28:10","date_gmt":"2014-02-19T21:28:10","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/boyland\/?page_id=567"},"modified":"2026-03-19T08:10:29","modified_gmt":"2026-03-19T12:10:29","slug":"gunnar-carlsson","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/boyland\/gunnar-carlsson\/","title":{"rendered":"Gunnar Carlsson"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<h1 class=\"wp-block-heading\">Gunnar Carlsson<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">Title: The Shape of Data<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">Abstract:<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">The problem of extracting knowledge and understanding from large and complex data sets is one of the fundamental intellectual challenges for the mathematical sciences.\u00a0 One approach to this is to use the notion of the &#8220;shape&#8221; of a data set, as encoded by a metric, as an organizing principle for data.\u00a0 Since topology is the mathematical discipline which concerns itself with the study of shape, it is only\u00a0 natural that methods from topology should be ported into the study of data.\u00a0 This transfer has in fact been taking place over the last 10-15 years, and we will discuss some of the ideas which have come up, with examples.<\/p>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":146,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-567","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/567","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/users\/146"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/comments?post=567"}],"version-history":[{"count":2,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/567\/revisions"}],"predecessor-version":[{"id":4053,"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/pages\/567\/revisions\/4053"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/boyland\/wp-json\/wp\/v2\/media?parent=567"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}