{"id":185737,"date":"2010-08-04T00:00:00","date_gmt":"2010-12-28T09:39:11","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/msr-research-item\/invariance-principles-in-theoretical-computer-science\/"},"modified":"2016-08-22T11:28:07","modified_gmt":"2016-08-22T18:28:07","slug":"invariance-principles-in-theoretical-computer-science","status":"publish","type":"msr-video","link":"https:\/\/www.microsoft.com\/en-us\/research\/video\/invariance-principles-in-theoretical-computer-science\/","title":{"rendered":"Invariance Principles in Theoretical Computer Science"},"content":{"rendered":"<div class=\"asset-content\">\n<p>In this talk I will give proofs of some &#8220;invariance principles&#8221; in probability; the Central Limit Theorem, the Berry&#8211;Esseen Theorem, and multidimensional and higher-degree versions thereof.  I will discuss these proofs from a computer science perspective, and show some applications to fields such as property testing, derandomization, learning, and inapproximability.<\/p>\n<\/div>\n<p><!-- .asset-content --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this talk I will give proofs of some &#8220;invariance principles&#8221; in probability; the Central Limit Theorem, the Berry&#8211;Esseen Theorem, and multidimensional and higher-degree versions thereof. I will discuss these proofs from a computer science perspective, and show some applications to fields such as property testing, derandomization, learning, and inapproximability.<\/p>\n","protected":false},"featured_media":280859,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"footnotes":""},"research-area":[],"msr-video-type":[],"msr-locale":[268875],"msr-impact-theme":[],"msr-pillar":[],"class_list":["post-185737","msr-video","type-msr-video","status-publish","has-post-thumbnail","hentry","msr-locale-en_us"],"msr_download_urls":"","msr_external_url":"https:\/\/youtu.be\/K5KFiJNYBqI","msr_secondary_video_url":"","msr_video_file":"","_links":{"self":[{"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-video\/185737"}],"collection":[{"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-video"}],"about":[{"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/types\/msr-video"}],"version-history":[{"count":0,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-video\/185737\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/media\/280859"}],"wp:attachment":[{"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/media?parent=185737"}],"wp:term":[{"taxonomy":"msr-research-area","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/research-area?post=185737"},{"taxonomy":"msr-video-type","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-video-type?post=185737"},{"taxonomy":"msr-locale","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-locale?post=185737"},{"taxonomy":"msr-impact-theme","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-impact-theme?post=185737"},{"taxonomy":"msr-pillar","embeddable":true,"href":"https:\/\/www.microsoft.com\/en-us\/research\/wp-json\/wp\/v2\/msr-pillar?post=185737"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}