Low-rank approximation of continuous functions
Event details
| Date | 09.02.2023 |
| Hour | 12:00 › 13:00 |
| Speaker | Prof. Helmut Harbrecht - University of Basel |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
Computational Mathematics Seminar
Abstract : In this talk, we analyze tensor approximation schemes for functions in the continuous setting. To this end, we assume that the function to be approximated lies either in an isotropic Sobolev space or an anisotropic Sobolev space.
We apply successively the truncated, continuous singular value decomposition in order to discuss the cost when approximating the function under consideration in the continuous analogues of tensor formats such as the tensor train format or the hierarchcal tensor format.
Abstract : In this talk, we analyze tensor approximation schemes for functions in the continuous setting. To this end, we assume that the function to be approximated lies either in an isotropic Sobolev space or an anisotropic Sobolev space.
We apply successively the truncated, continuous singular value decomposition in order to discuss the cost when approximating the function under consideration in the continuous analogues of tensor formats such as the tensor train format or the hierarchcal tensor format.
Practical information
- General public
- Free
Organizer
- Prof. Daniel Kressner
Contact
- Prof. Daniel Kressner, Samantha Bettschen