Difference between revisions of "Topological Methods in Data Analysis - Journal Club (Winter 2021/22)"
| Line 51: | Line 51: | ||
|29.11. | |29.11. | ||
|UMap and manifold learning | |UMap and manifold learning | ||
| − | | | + | |McInnes et al. <b> Journal of Open Source Software, 3(29), 861 (2018) </b><br> https://arxiv.org/abs/1802.03426 |
|Paul Snopov | |Paul Snopov | ||
| | | | ||
Revision as of 11:02, 29 November 2021
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 examples of TDA often build on a deep intuition about the system in question and many aspects of topological methods in data analysis remain a field of active research.
The goal of this seminar is to offer a platform where we can learn about the TDA toolkit, discuss articles and new developments, and exchange ideas for the analysis of concrete datasets.
Coordinates and Organization
Time: Mondays 11h15 - 12h45
Zoom 830 4593 4507
Please get in touch with us to receive the password.
Organizers: Michael Bleher, Maximilian Schmahl, Daniel Spitz.
structures-hiwi@mathi.uni-heidelberg.de
Schedule
| Date | Topic | Info | Speaker | Slides |
|---|---|---|---|---|
| 25.10. | Introduction and Organization | Michael Bleher, Maximilian Schmahl, Daniel Spitz | ||
| 01.11. | Allerheiligen, holiday | |||
| 08.11. | Embedding of persistence diagrams | Mitra A. Proc. Amer. Math. Soc. 149 (2021), 2693-2703 https://arxiv.org/abs/1905.09337 |
Atish Mitra | |
| 15.11. | Applications of topological data analysis on DNA data | Hahn H, Neitzel C, Kopečná O, Heermann DW, Falk M, Hausmann M. Cancers. 2021; 13(21):5561. https://doi.org/10.3390/cancers13215561 |
Jonas Weidner | |
| 22.11. | Compact representations of simplicial complexes and classification algorithms | Rolando Kindelan Nuñez (2021) https://arxiv.org/abs/2102.03709 |
Rolando Kindelan | |
| 29.11. | UMap and manifold learning | McInnes et al. Journal of Open Source Software, 3(29), 861 (2018) https://arxiv.org/abs/1802.03426 |
Paul Snopov | |
| 06.12. | Optimal embedding of manifolds into Euclidean spaces | Ilja Sirajlovic | ||
| 13.12. | ||||
| 20.12. | ||||
| --- Christmas Break --- | ||||
| 10.01. | ||||
| 17.01. | TBA | Clemens Bannwart | ||
| 24.01. | ||||
| 31.01. | ||||
| 07.02. | ||||