Tensors and Optimization

Head:
André Uschmajew (Email)

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

Fax:
+49 (0) 341 - 9959 - 585

Address:
Inselstr. 22
04103 Leipzig

Tensors and Optimization

Research

Our research focuses on low-rank tensor approximation and its applications, with emphasis on numerical tensor calculus, nonlinear optimization methods, underlying approximability principles, as well as algebraic and geometric foundations. Some keywords:

  • Tensors: geometry of low-rank varieties, tensor networks, higher-order singular values, tensor product operators
  • Approximation: functional analytic foundations, approximation rates, singular value estimates, spectral and nuclear norm
  • Optimization: block coordinate methods, truncated iterations, Riemannian optimization, rank adaptivity
  • Applications: high-dimensional linear equations and eigenvalue problems, signal processing, tensor completion

Group Members

Surname, first nameEmailPhoneOfficeHomepage
Group Leader
Uschmajew, Andréuschmajew824G3 08external
Scientific staff
Pfeffer, MaxMax.Pfeffer775F3 11 

Future group members and visitors

  • Vandereycken, Bart (10.01.2018 - 12.01.2018)
    • Affiliation: Université de Genève, Section de Mathématiques, Switzerland
    • Homepage:external
18.12.2017, 01:33