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DTSTART;TZID=America/Los_Angeles:20170309T171500
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SUMMARY:Applied Algebra Seminar: Decomposition and unfolding of higher-order tensors
UID:107793-ucb-events-calendar@berkeley.edu
ORGANIZER;CN="UC Berkeley Calendar Network":
LOCATION:891 Evans Hall
DESCRIPTION:Yun Song\, University of Pennsylvania and UC Berkeley\n\nRecently\, tensors of order 3 or greater\, known as higher-order tensors\, have attracted increased attention in many fields across science and engineering. A common paradigm in tensor-related algorithms advocates unfolding (or flattening) the tensor into a matrix and applying classical methods developed for matrices. In this talk\, I will consider all possible unfoldings of a tensor into lower order tensors and present general inequalities between their operator norms. I will then describe an application of these theoretical results to tensor decomposition and present a new algorithm built on Kruskal's uniqueness theorem. This tensor decomposition method provably handles a greater level of noise compared to previous methods and achieves a high estimation accuracy. Numerical results demonstrate that our algorithm is robust to various noise distributions and that it performs especially favorably as the order increases. If time permits\, I will describe applications of our method to multi-way clustering. (Joint work with Miaoyan Wang\, Khanh Dao Duc\, and Jonathan Fischer.)
URL:http://events.berkeley.edu/index.php/calendar/sn/pubaff.html?event_ID=107793&view=preview
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