Tensors and Optimization

André Uschmajew (Email)

+49 (0) 341 - 9959 - 824

+49 (0) 341 - 9959 - 585

Inselstr. 22
04103 Leipzig

Tensors and Optimization


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 11group

Future group members and visitors

  • Soma, Tasuku (09.09.2018 - 15.09.2018)
    • Affiliation: University of Tokyo, Graduate School of Information Science and Technology, Japan
    • Homepage:external
  • Gautier, Antoine (08.10.2018 - 11.10.2018)
    • Affiliation: Universität des Saarlandes, Saarbrücken, Fakultät für Mathematik und Informatik, Germany
    • Homepage:external
14.08.2018, 23:40