Heidelberg TDA Seminar (Summer 2023)
In recent years there has been a somewhat surprising flow of ideas from the mathematical branch of topology towards applications in the natural sciences. The tale of Topological Data Analysis (TDA) has it, that these methods provide a highly flexible, nonparametric approach to data analysis. Indeed, there are by now several well-known mathematical results that make statements of this kind rigorous. However, successful applications of TDA often build on a deep intuition about the system in question and many theoretical aspects of TDA remain active fields of research.
The goal of this seminar is to bring together people from various backgrounds who are interested in TDA. We will have talks on topics ranging from applications of TDA on real world problems to the abstract mathematical foundations of the subject. An emphasis is put on synergies with Machine Learning. In addition, we aim to discuss works, which are inspired by TDA but not employing it directly. Contributions by participants are very welcome!
Coordinates
- Time: Thursdays 11:15 – 12:45
- Location: Mathematikon (INF 205), Room 00.200 (ground floor)
- Organisers: Freya Bretz, Lukas Hahn, Daniel Spitz
- Contact: structures-hiwi@mathi.uni-heidelberg.de
Schedule
| Date | Topic | Speaker |
|---|---|---|
| 27 Apr 2023 | Preliminary meeting (exceptionally in SR Statistik 02.104) | |
| 04 May 2023 | No session | |
| 11 May 2023 | Persistent homology of quantum entanglement (based on arXiv:2110.10214) | Daniel Spitz |
| 18 May 2023 | No session (Ascension Day) | |
| 25 May 2023 | Metrising multiparameter modules | Lukas Waas |
| 01 Jun 2023 | Seminar cancelled | |
| 08 Jun 2023 | No session (Corpus Christi) | |
| 15 Jun 2023 | An introduction to machine learning for mathematicians | Sebastian Damrich |
| 22 Jun 2023 | Enhancing computational astrophysics with interpretable machine learning | Tobias Buck |
| 29 Jun 2023 | No session | |
| 06 Jul 2023 | On-the-hands coding with TDA and machine learning | Lukas Hahn |
| 13 Jul 2023 | Learning representations of symbolic data in symmetric spaces | Michael Bleher |
| 20 Jul 2023 | Mayer–Vietoris for persistent homology (Structures Days poster session) | Freya Bretz |