<html><head><meta http-equiv="Content-Type" content="text/html; charset=utf-8"></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class=""><div class=""><br class=""></div>Konusmaci Kanada’dan oldugu icin seminer bugun saat 16:30’da.<div class=""><br class=""></div><div class="">Ergun</div><div class=""><br class=""></div><div class=""><br class=""></div><div class=""> <br class=""><div><blockquote type="cite" class=""><br class=""><div class=""><div dir="ltr" class="">Dear all,<br class=""><br class="">Here is the information for our next topology seminar:<br class=""><br class="">Join Zoom Meeting<br class=""><a href="https://zoom.us/j/94366555204?pwd=cjg5K2szbXlmaGVKc0RrUjN5aEhkUT09" class="">https://zoom.us/j/94366555204?pwd=cjg5K2szbXlmaGVKc0RrUjN5aEhkUT09</a><br class=""><br class="">Meeting ID: 943 6655 5204<br class="">Passcode: 715677<br class=""><br class="">-------<br class=""><br class="">Time: Mar 21, 2022 @ 16:30 UTC+3<br class="">Speaker: Rick Jardine (Western University)<br class=""><br class="">Title: UMAP for the working mathematician <br class=""><br class=""><br class="">Abstract: The Healy-McInnes UMAP algorithm is a highly successful clustering tool that involves interesting ideas from mathematics and data science:<br class=""><br class="">1) Spivak's theory of extended pseudo metric spaces (ep-metric spaces) <br class="">2) TDA constructions in ep-metric spaces <br class="">3) weighted graphs <br class="">4) classical dimension reduction <br class="">5) graph optimization: fuzzy sets, cross entropy<br class=""><br class="">I will explain the algorithm from a mathematical point of view.<br class=""><br class=""><br class=""><br class="">--------<br class=""><br class="">To see the upcoming talks visit: <a href="https://researchseminars.org/seminar/BilTop" class="">https://researchseminars.org/seminar/BilTop</a><br class=""> <br class=""><br class="">Best,<br class="">Cihan Okay<br class=""><br class=""><a href="http://cihan.okay.bilkent.edu.tr/" class="">http://cihan.okay.bilkent.edu.tr/</a><br class=""></div>
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