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Penn Undergraduate Mathematics Colloquium

Friday, March 17, 2017 - 3:00pm

Yun Song

University of Pennsylvania


University of Pennsylvania


Recently, tensors of order 3 or greater, known as higher-order tensors,
have attracted increased attention in many fields across science and
engineering.  Methods built on tensors provide powerful tools to capture
complex structures in data that lower-order methods may fail to exploit.
Unfortunately, extending familiar matrix concepts to higher-order tensors
is not straightforward, and indeed it has been shown that most
computational problems for tensors are NP-hard.  In this talk, I will
present some theoretical results on functional properties of tensors that
have practical applications, including tensor decompositions.