Journal Club on Topological Data Analysis (Winter 2020/21)
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 applica- tions 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. In each session, we will have one of the participants present a paper that the audience can then discuss. Original contributions or suggestions for papers to talk about are always very welcome! Possible topics range from applications of TDA on real world problems to the abstract mathematical foundations of the subject.
For an entry point to TDA, a list of previous installments of this Journal Club, and similar activities, have a look at our wiki. Recordings of previous talks can be found on Mampf (requires sign-up).
Coordinates
Mondays, 11h15 - 12h45We will meet on Zoom
Meeting-ID: 830 4593 4507
Password: Barcode
If you would like to receive talk announcements, subscribe to our mailing list here or send an Email.
Schedule
*to be confirmed| Date | Speaker | Article | Slides |
|---|---|---|---|
| Nov 9 | Michael, Daniel, Max | Organizational Meeting | |
| Nov 16 | - | - | |
| Nov 23 | Maximilian Schmahl |
Structure of Semi-Continuous Q-Tame Persistence Modules Schmahl (2020) arXiv:2008.09493 |
|
| Nov 30 | - | - | |
| Dec 7 | Michael Bleher |
Magnitude meets persistence. Homology theories for filtered simplicial sets Otter (2018) arXiv:1807.01540 |
|
| Dec 14 | Daniel Spitz |
The self-similar evolution of stationary point processes via persistent homology Spitz, and Wienhard (2020) arXiv:2012.05751 |
|
| Dec 21 |
Christmas Break |
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Dec 28 |
Christmas Break |
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Jan 4 |
Christmas Break |
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| Jan 11 | Arne Strehlow |
Persistent Homology of the Cosmic Web; Wilding et al. arXiv:2011.12851 |
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| Jan 18 | Mathieu Carrière |
Structure and Stability of the 1-Dimensional Mapper; Carrière (2015) Found Comput Math 18, 1333–1396 (2018) arXiv:1511.05823 |
|
| Jan 25 | Lukas Hahn |
Single-cell topological RNA-seq analysis reveals insights into cellular differentiation and development Rizvi, Camara, Kandror, et al. (2017) Nat Biotechnol 35, 551–560 ncbi (open access) |
|
| Feb 1 | postponed |
Damrich (work in progress) based on arXiv:1906.05404 |
|
| Feb 8 | Tim Mäder |
Edge Collapse and Persistence of Flag Complexes Boissonnat, Pritam (2020) in proceedings of 36th International Symposium on Computational Geometry hal-02873740 (open access) |
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| Feb 15 | Barbara Giunti |
Notes on pivot pairings based on Chachólski, Giunti, Jin, and Landi (2020) arXiv:2012.01033 Giunti (2021) arXiv:2101.00451 |
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| Mar 1 | Sebastian Damrich |
Differentiation via Persistent Homology Damrich (work in progress) based on arXiv:1906.05404 |
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| March 15 | Zahra Monfared |
Bifurcations and Chaos Detection in Complex Dynamical Systems & Time Series Analysis Using Persistent Homology based on Khushboo Mittal and Shalabh Gupta (2017) Chaos: An Interdisciplinary Journal of Nonlinear Science 27, 051102 doi:10.1063/1.4983840 Audun Myers, Elizabeth Munch, Firas A. Khasawneh (2019) Phys. Rev. E 100, 022314 arXiv:1904.07403 |