Tensors and Optimization

André Uschmajew (Email)

+49 (0) 341 - 9959 - 824

+49 (0) 341 - 9959 - 658

Inselstr. 22
04103 Leipzig

Max Planck Research Group on Tensors and Optimization

News & Activities


The research in our group focuses on low-rank matrix and tensor approximation, with emphasis on numerical tensor calculus, nonlinear optimization methods, underlying approximability principles, as well as algebraic and geometric foundations. Our goal is to obtain a deeper understanding of low-rank models and methods, and their successful use in scientific computing and modern applications. 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, optimization landscape
  • Applications: high-dimensional linear equations and eigenvalue problems, signal processing, dynamical low-rank approximation

Group Members


27.09.2023, 01:40