
Tensors and Optimization
Head:
André Uschmajew (Email)
Phone:
+49 (0) 341 - 9959 - 824
Fax:
+49 (0) 341 - 9959 - 658
Address:
Inselstr. 22
04103 Leipzig
Max Planck Research Group on Tensors and Optimization
News & Activities
- Research Topic on High-Performance Tensor Computations in Scientific Computing and Data Science
in Frontiers in Applied Mathematics and Statistics.
- Workshop: Hierarchical Numerical Methods for PDEs
September 28-29, 2021 at MPI Leipzig
- Mathematics of Data Initiative at MPI MiS
Please check for the regular seminars, courses and workshops.
Research
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
Surname, first name | Phone | Office | Homepage | ||
Group Leader | |||||
---|---|---|---|---|---|
Uschmajew, André | uschmajew | 824 | G3 08 | group | |
Ph.D. Students | |||||
Eisenmann, Henrik | Henrik.Eisenmann | 769 | F3 07 | group |
Future group members and visitors
- Redmann, Martin (06.07.2022 - 06.07.2022)
- Affiliation: Martin-Luther-Universität Halle-Wittenberg, Naturwissenschaftliche Fakultät II - Chemie, Physik und Mathematik, Germany
- Homepage: external