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Emil Ringh: What is rank? - An introduction to tensors and low-rank tensor techniques

Tid: Fr 2017-04-28 kl 13.15 - 14.15

Plats: Room 3418, Lindstedtsvägen 25, 4th floor, Department of Mathematics, KTH

Medverkande: Emil Ringh, KTH

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What is a tensor, and how do we define its rank? In this talk I will introduce the basic concepts of tensors and tensor rank, as it is presented in the literature.
Different decompositions comes with different notions of rank, and I will briefly cover the most common ones:  Canonical rank and the CP decomposition, Tucker rank and the Tucker decomposition, as well as TT-rank and Tensor Train decomposition. Focus will be on theoretical aspects of tensors and tensor decompositions, but aimed towards numerical treatment.