Tensors and Optimization
Head:
André Uschmajew (Email)
Phone:
+49 (0) 341 - 9959 - 824
Fax:
+49 (0) 341 - 9959 - 585
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 name | Phone | Office | Homepage | ||
| Group Leader | |||||
|---|---|---|---|---|---|
| Uschmajew, André | uschmajew | 824 | G3 08 | external | |
| Scientific Staff | |||||
| Pfeffer, Max | Max.Pfeffer | 775 | F3 11 | group | |
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