Difference between revisions of "Topological Methods in Data Analysis - Journal Club (Winter 2021/22)"
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|Introduction and Organization | |Introduction and Organization | ||
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|Michael Bleher, Maximilian Schmahl, Daniel Spitz | |Michael Bleher, Maximilian Schmahl, Daniel Spitz | ||
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− | |Allerheiligen, holiday | + | |<i> Allerheiligen, holiday </i> |
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|Embedding of persistence diagrams | |Embedding of persistence diagrams | ||
− | |https://arxiv.org/abs/1905.09337 | + | |Proc. Amer. Math. Soc. 149 (2021), 2693-2703 <br> https://arxiv.org/abs/1905.09337 |
|Atish Mitra | |Atish Mitra | ||
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Revision as of 11:24, 8 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 | 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 | Jonas Weidner | ||
22.11. | Compact representations of simplicial complexes and classification algorithms | Rolando Kindelan | ||
29.11. | UMap and manifold learning | Paul Snopov | ||
06.12. | Optimal embedding of manifolds into Euclidean spaces | Ilja Sirajlovic | ||
13.12. | ||||
20.12. | ||||
--- Christmas Break --- | ||||
10.01. | ||||
17.01. | ||||
24.01. | TBA | Clemens Bannwart | ||
31.01. | ||||
07.02. |