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Low Rank Symmetric Tensor Approximations
时间  Datetime
2018-01-04 10:30 — 11:30 
地点  Venue
1202, Math Building
报告人  Speaker
Prof. Jiawang Nie
单位  Affiliation
University of California, San Diego
邀请人  Host
Jinyan Fan
报告摘要  Abstract

For a given symmetric tensor, we aim at finding a new one whose symmetric rank is small and that is close to the given one. There exist linear relations among the entries of low rank symmetric tensors. Such linear relations can be expressed by polynomials, which are called generating polynomials. We propose a new approach for computing low rank approximations by using generating polynomials. First, we estimate a set of generating polynomials that are approximately satisfied by the given tensor. Second, we find approximate common zeros of these polynomials. Third, we use these zeros to construct low rank tensor approximations. If the symmetric tensor to be approximated is sufficiently close to a low rank one, we show that the computed low rank approximations are quasi-optimal.