{"150911":{"#nid":"150911","#data":{"type":"event","title":"ARC Colloquium: Ravi Kannan, Microsoft Research, India","body":[{"value":"\u003Cp\u003E\u003Cstrong\u003ETitle: k-MEANS REVISITED\u003C\/strong\u003E\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003EAbstract:\u003C\/strong\u003E\u003C\/p\u003E\u003Cp\u003EIn many applications, fairly fast clustering algorithms seem to yield the desired solution. Theoretically, two types of assumptions lead to provably fast algorithms for clustering:\u003C\/p\u003E\u003Cp\u003E(i) stochastic (mixture) models of data and (ii) uniqueness of optimal solution even under perturbations of data. We show that under an assumption weaker than either of these, Lloyd\u0027s (k-means) algorithm converges to the correct solution. We apply the result to the planted clique problem.\u003C\/p\u003E\u003Cp\u003EJoint work with Amit Kumar.\u003C\/p\u003E","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":"","field_summary_sentence":"","uid":"27263","created_gmt":"2012-08-31 11:36:10","changed_gmt":"2016-10-08 01:59:45","author":"Elizabeth Ndongi","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2012-09-17T14:00:00-04:00","event_time_end":"2012-09-17T14:00:00-04:00","event_time_end_last":"2012-09-17T14:00:00-04:00","gmt_time_start":"2012-09-17 18:00:00","gmt_time_end":"2012-09-17 18:00:00","gmt_time_end_last":"2012-09-17 18:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[{"id":"70263","name":"ARC"}],"categories":[],"keywords":[],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1795","name":"Seminar\/Lecture\/Colloquium"}],"invited_audience":[],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[{"value":"\u003Cp\u003E\u003Ca href=\u0022mailto:ndongi@cc.gatech.edu\u0022\u003Endongi@cc.gatech.edu\u003C\/a\u003E\u003C\/p\u003E","format":"limited_html"}],"email":[],"slides":[],"orientation":[],"userdata":""}}}