Topological Methods in Data Analysis - Journal Club (Summer 2021)

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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.

In case of questions, do not hesitate to contact us, the organizers of this Journal Club, via mail at structures-hiwi@mathi.uni-heidelberg.de.

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
12.04. Introduction and Organization Michael Bleher, Maximilian Schmahl
19.04.
26.04.
03.05.
10.05.
17.05.
24.05.
31.05.
07.06.
14.06.
21.06.
28.06.
05.07.
12.07.
19.07.

Further reading

For somewhat more details and introductory material on topological data analysis we refer to the literature section of this Wiki, which can be found here.