Difference between revisions of "Topological Methods in Data Analysis - Journal Club (Summer 2020)"
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|12.05. | |12.05. | ||
| − | |Topological exploration of artificial neuronal network dynamics | + | |Bardin, Spreemann, Hess: Topological exploration of artificial neuronal network dynamics |
|[https://arxiv.org/abs/1810.01747 ArXiv: 1810.01747] | |[https://arxiv.org/abs/1810.01747 ArXiv: 1810.01747] | ||
|Aljosa | |Aljosa | ||
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|19.05. | |19.05. | ||
| − | |Topological data analysis with Bregman divergences | + | |Edelsbrunner, Wagner: Topological data analysis with Bregman divergences |
|[https://arxiv.org/abs/1607.06274 ArXiv: 1607.06274] | |[https://arxiv.org/abs/1607.06274 ArXiv: 1607.06274] | ||
|Máté | |Máté | ||
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|26.05. | |26.05. | ||
| − | |Topology of viral evolution | + | |Chan, Carlsson & Rabadan: Topology of viral evolution |
|[https://www.pnas.org/content/110/46/18566.abstract PNAS November 12, 2013 110 (46) 18566-18571] | |[https://www.pnas.org/content/110/46/18566.abstract PNAS November 12, 2013 110 (46) 18566-18571] | ||
|Lukas | |Lukas | ||
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|02.06. | |02.06. | ||
| − | |The Morse theory of Čech and Delaunay complexes | + | |Bauer & Edelsbrunner: The Morse theory of Čech and Delaunay complexes |
|[http://pub.ist.ac.at/~edels/Papers/2017-J-03-DCech.pdf Trans. Amer. Math. Soc. 369 (2017), 3741-3762] | |[http://pub.ist.ac.at/~edels/Papers/2017-J-03-DCech.pdf Trans. Amer. Math. Soc. 369 (2017), 3741-3762] | ||
|Daniel Spitz | |Daniel Spitz | ||
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|09.06. | |09.06. | ||
| + | |Chen & Freedman: Hardness Results for Homology Localization | ||
| + | |[https://link.springer.com/article/10.1007/s00454-010-9322-8 Discrete & Computational Geometry 45 (2011), 425-448] | ||
| + | |Michael Bleher | ||
| + | | | ||
| + | |- | ||
| + | |16.06. | ||
| + | |Usher: Floer Theory and Symplectic Capacities | ||
| + | | | ||
| + | |Levin | ||
| + | | | ||
| + | |- | ||
| + | |23.06. | ||
| + | |Harrington, Otter, Schenk & Tilmann: Statifying multiparameter persistent homology | ||
| + | |[https://arxiv.org/abs/1708.07390 ArXiv: 1708.07390] | ||
| + | |Carmen | ||
| + | | | ||
| + | |- | ||
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| | | | ||
| + | |More to follow soon... | ||
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Revision as of 08:12, 29 April 2020
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: Tuesdays, from 16pm to 18pm.
Location: https://heiconf.uni-heidelberg.de/ble-q9j-7k9
Organizers: Michael Bleher, Daniel Spitz. Mail: structures-hiwi@mathi.uni-heidelberg.de.
Schedule
| Date | Topic | Info | Speaker | Slides |
|---|---|---|---|---|
| 21.04. | Test-run | This meeting will be dedicated to testing the technical setup with heiCONF and to discuss ideas for giving
talks from home. Feel free to join us, we would also be happy to use the opportunity and collect input from you! |
Daniel Spitz, Maximilian Schmahl & Michael Bleher | |
| 28.04. | Introduction and Organization | Maximilian Schmahl | ||
| 05.05. | Computational Complexity | Maximilian Schmahl | ||
| 12.05. | Bardin, Spreemann, Hess: Topological exploration of artificial neuronal network dynamics | ArXiv: 1810.01747 | Aljosa | |
| 19.05. | Edelsbrunner, Wagner: Topological data analysis with Bregman divergences | ArXiv: 1607.06274 | Máté | |
| 26.05. | Chan, Carlsson & Rabadan: Topology of viral evolution | PNAS November 12, 2013 110 (46) 18566-18571 | Lukas | |
| 02.06. | Bauer & Edelsbrunner: The Morse theory of Čech and Delaunay complexes | Trans. Amer. Math. Soc. 369 (2017), 3741-3762 | Daniel Spitz | |
| 09.06. | Chen & Freedman: Hardness Results for Homology Localization | Discrete & Computational Geometry 45 (2011), 425-448 | Michael Bleher | |
| 16.06. | Usher: Floer Theory and Symplectic Capacities | Levin | ||
| 23.06. | Harrington, Otter, Schenk & Tilmann: Statifying multiparameter persistent homology | ArXiv: 1708.07390 | Carmen | |
| More to follow soon... |