Tensors and Optimization

Head:
André Uschmajew (Email)

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

Fax:
+49 (0) 341 - 9959 - 658

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

Nachname, VornameEmailTelefonRaumHomepage
Forschungsgruppenleiter
Uschmajew, Andréuschmajew824G3 08external
Wissenschaftler
Pfeffer, MaxMax.Pfeffer756F3 04group
Doktoranden
Eisenmann, HenrikHenrik.Eisenmann769F3 07 
Gäste
Krumnow, ChristianChristian.Krumnow816G3 05 
Temlyakov, Vladimirmpgast15822G3 07external
21.09.2019, 01:40