{"id":579,"date":"2024-10-25T17:32:58","date_gmt":"2024-10-25T17:32:58","guid":{"rendered":"https:\/\/pages.charlotte.edu\/probability-seminar\/?p=579"},"modified":"2024-10-25T17:35:34","modified_gmt":"2024-10-25T17:35:34","slug":"wed-oct-30-2024-at-415pm-in-fretwell-379-math-conference-room","status":"publish","type":"post","link":"https:\/\/pages.charlotte.edu\/probability-seminar\/blog\/2024\/10\/25\/wed-oct-30-2024-at-415pm-in-fretwell-379-math-conference-room\/","title":{"rendered":"Wed Oct 30, 2024 at 4:00PM in Fretwell 379 (Math Conference Room)"},"content":{"rendered":"\n<p><a href=\"https:\/\/math.charlotte.edu\/directory\/sebastien-bossu\">S\u00e9bastien Bossu<\/a>, UNC Charlotte<\/p>\n\n\n\n<p><strong>Title<\/strong>: &#8220;Least-squares function approximation and single-pair Gram matrices&#8221;<\/p>\n\n\n\n<p><strong>Abstract<\/strong>: Least-squares optimization techniques can be applied to approximate a function f(x) by a line (similar to linear regression in statistics), Fourier cosines, or ReLU functions.\u00a0 In the first part of this talk, we will review the theory of least-squares function approximation and see how Gram matrices (covariance matrices in statistics) play an important role.\u00a0 In the second part of this talk, I will present my\u00a0<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/abs\/pii\/S0024379524002726\" target=\"_blank\" rel=\"noreferrer noopener\">recent results about the inverse sum of two single-pair matrices<\/a>\u00a0corresponding to the Gram matrix of a system of ReLU functions.<\/p>\n\n\n\n<p>The first part of this talk is educational and graduate students are encouraged to attend.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>S\u00e9bastien Bossu, UNC Charlotte Title: &#8220;Least-squares function approximation and single-pair Gram matrices&#8221; Abstract: Least-squares optimization techniques can be applied to approximate a function f(x) by a line (similar to linear regression in statistics), Fourier cosines, or ReLU functions.\u00a0 In the first part of this talk, we will review the theory of least-squares function approximation and [&hellip;]<\/p>\n","protected":false},"author":16,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-579","post","type-post","status-publish","format-standard","hentry","category-probability_seminar"],"_links":{"self":[{"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/posts\/579","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/users\/16"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/comments?post=579"}],"version-history":[{"count":2,"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/posts\/579\/revisions"}],"predecessor-version":[{"id":581,"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/posts\/579\/revisions\/581"}],"wp:attachment":[{"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/media?parent=579"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/categories?post=579"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/probability-seminar\/wp-json\/wp\/v2\/tags?post=579"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}