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DIMACS Theory of Computing Seminar

"Exact tensor completion with sum-of-squares"

Aaron Potechin , Princeton University

Location:  CoRE 301
Date & time: Wednesday, 26 April 2017 at 11:00AM - 12:00PM

 

 

Time: 11:00 AM
Location: CoRE 301
Abstract: In the matrix completion problem, we are given some entries of a matrix and we are asked to fill in the remaining entries. A canonical example of this problem is the Netflix challenge, where we are given the ratings of users on some movies and we are asked to predict their ratings on other movies. While the matrix completion problem is impossible to solve in general, it can be solved efficiently if the matrix has the additional structure of being low-rank.

In this talk, I will describe how the nuclear norm minimization method for matrix completion can be viewed in terms of a dual certificate. I will then describe how this view can be generalized to the analogous tensor completion problem via the sum-of-squares hierarchy. No background except for linear algebra will be assumed for this talk.

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