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

Surname, first nameEmailPhoneOfficeHomepage
Group Leader
Uschmajew, Andréuschmajew824G3 08external
Scientific Staff
Pfeffer, MaxMax.Pfeffer756F3 04group
Ph.D. Students
Eisenmann, HenrikHenrik.Eisenmann769F3 07 
Visitors
Krumnow, ChristianChristian.Krumnow816G3 05 

Future group members and visitors

  • Temlyakov, Vladimir (16.09.2019 - 21.09.2019)
    • Affiliation: University of South Carolina, Columbia, Department of Mathematics, USA
    • Homepage: external
20.08.2019, 01:40