{"id":112,"date":"2020-06-15T16:50:26","date_gmt":"2020-06-15T16:50:26","guid":{"rendered":"http:\/\/mlhpc2.peter-zaspel.de\/?p=112"},"modified":"2020-06-15T17:31:45","modified_gmt":"2020-06-15T17:31:45","slug":"multi-fidelity-machine-learning","status":"publish","type":"post","link":"https:\/\/www.peter-zaspel.de\/?p=112","title":{"rendered":"Multi-fidelity machine learning"},"content":{"rendered":"\n<p>Imagine that we are not just given training samples (i.e. inputs and outputs) but specifically each of the samples is associated to a &#8220;cost&#8221; and might have a given &#8220;accuracy&#8221;.<\/p>\n\n\n\n<p>This project investigates, how to find optimal machine learning models that do not only have a minimum loss \/ maximum accuracy but also a minimal overall cost. That is, we face a much more complex optimization task.<br><br>In the project, we touch topics in:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>various regression ML methods<\/li><li>optimization<\/li><li>approximation theory<\/li><\/ul>\n\n\n\n<p>WARNING: Again a rather mathematical, but very beautiful topic. Could go from a very applied view to a pretty theoretical one.<\/p>\n\n\n\n<p>This is highly research relevant and has very important applications in machine learning in simulation and other fields. <br><br>Some first links:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a href=\"https:\/\/pubs.acs.org\/doi\/abs\/10.1021\/acs.jctc.8b00832#\">https:\/\/pubs.acs.org\/doi\/abs\/10.1021\/acs.jctc.8b00832#<\/a><\/li><li><a href=\"https:\/\/arxiv.org\/abs\/1903.07320\">https:\/\/arxiv.org\/abs\/1903.07320<\/a><\/li><li><a href=\"https:\/\/arxiv.org\/abs\/1604.07484\">https:\/\/arxiv.org\/abs\/1604.07484<\/a><\/li><\/ul>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Imagine that we are not just given training samples (i.e. inputs and outputs) but specifically each of the samples is associated to a &#8220;cost&#8221; and might have a given &#8220;accuracy&#8221;. This project investigates, how to find optimal machine learning models<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_import_markdown_pro_load_document_selector":0,"_import_markdown_pro_submit_text_textarea":"","footnotes":""},"categories":[4],"tags":[],"class_list":["post-112","post","type-post","status-publish","format-standard","hentry","category-summer-research-topics"],"_links":{"self":[{"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=\/wp\/v2\/posts\/112","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=112"}],"version-history":[{"count":2,"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=\/wp\/v2\/posts\/112\/revisions"}],"predecessor-version":[{"id":121,"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=\/wp\/v2\/posts\/112\/revisions\/121"}],"wp:attachment":[{"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=112"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=112"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.peter-zaspel.de\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=112"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}