Tensors and Optimization

Head:
André Uschmajew (Email)

Phone:
+49 (0) 341 - 9959 - 824

Fax:
+49 (0) 341 - 9959 - 658

Address:
Inselstr. 22
04103 Leipzig

Lectures Winter semester 2021/2022

Spectra of tensors and their applications

  • Lecturer: André Uschmajew, Raffaella Mulas
  • Date: 6-8 lectures, on Wednesdays 2 pm, starting November 3, 2021
  • Room: MPI MiS G3 10
  • Prerequisites: basic knowledge in linear algebra, graph theory and optimization

Abstract

There exist several possibilities for defining eigen- and singular values for tensors, based on critical points of multilinear forms or homogeneous equations. In this mini course we introduce some of these concepts, discuss their basic properties as well as their relation to low-rank approximation and hypergraph theory. Geometric questions and computational aspects will also be considered.

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27.10.2021, 02:30