Difference between revisions of "Heidelberg TDA Seminar (Summer 2023)"
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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 applications of TDA often build on a deep intuition about the system in question and many theoretical aspects of TDA remain active fields of research. | 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 applications 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. We will have talks on topics ranging from applications of TDA on real world problems to the abstract mathematical foundations of the subject. In addition, we aim to discuss works, which are inspired by TDA but not employing it directly. Contributions by participants are very welcome! | + | The goal of this seminar is to bring together people from various backgrounds who are interested in TDA. We will have talks on topics ranging from applications of TDA on real world problems to the abstract mathematical foundations of the subject. An emphasis is put on synergies with Machine Learning. In addition, we aim to discuss works, which are inspired by TDA but not employing it directly. Contributions by participants are very welcome! |
==Coordinates and Organization == | ==Coordinates and Organization == | ||
| Line 7: | Line 7: | ||
'''Location:''' Mathematikon (INF205), 00.200 (ground floor) | '''Location:''' Mathematikon (INF205), 00.200 (ground floor) | ||
| − | '''Organizers:''' Lukas Hahn, Daniel Spitz. <br> | + | '''Organizers:''' Freya Bretz, Lukas Hahn, Daniel Spitz. <br> |
Feel free to get in touch with us in the case of questions: | Feel free to get in touch with us in the case of questions: | ||
[mailto:structures-hiwi@mathi.uni-heidelberg.de structures-hiwi@mathi.uni-heidelberg.de] | [mailto:structures-hiwi@mathi.uni-heidelberg.de structures-hiwi@mathi.uni-heidelberg.de] | ||
== Schedule == | == Schedule == | ||
| + | The following schedule is preliminary; in particular topics can be still subject to slight changes. | ||
{| class="wikitable" | {| class="wikitable" | ||
!Date | !Date | ||
| Line 26: | Line 27: | ||
|- | |- | ||
|04.05. | |04.05. | ||
| − | | | + | |No TDA Seminar session |
| | | | ||
| | | | ||
| Line 32: | Line 33: | ||
|- | |- | ||
|11.05. | |11.05. | ||
| − | | | + | |Persistent homology of quantum entanglement (based on arxiv:2110.10214) |
| − | |||
| | | | ||
| + | |Daniel Spitz | ||
| | | | ||
|- | |- | ||
|18.05. | |18.05. | ||
| − | | | + | |No TDA Seminar session (Himmelfahrt) |
| | | | ||
| | | | ||
| + | | | ||
| + | |- | ||
| + | |25.05. | ||
| + | |Metrizing multiparameter modules | ||
| + | | | ||
| + | |Lukas Waas | ||
| | | | ||
|- | |- | ||
|01.06. | |01.06. | ||
| − | | | + | |TDA seminar cancelled |
| | | | ||
| | | | ||
| Line 56: | Line 63: | ||
|- | |- | ||
|15.06. | |15.06. | ||
| − | | | + | |An Introduction to Machine Learning for Mathematicians |
| − | |||
| | | | ||
| + | |Sebastian Damrich | ||
| | | | ||
|- | |- | ||
|22.06. | |22.06. | ||
| − | | | + | |Enhancing computational astrophysics with interpretable machine learning |
| − | |||
| | | | ||
| + | |Tobias Buck | ||
| | | | ||
|- | |- | ||
|29.06. | |29.06. | ||
| − | | | + | |No TDA Seminar |
| | | | ||
| | | | ||
| Line 74: | Line 81: | ||
|- | |- | ||
|06.07. | |06.07. | ||
| − | | | + | |On-the-hands coding with TDA and Machine Learning |
| − | |||
| | | | ||
| + | |Lukas Hahn | ||
| | | | ||
|- | |- | ||
|13.07. | |13.07. | ||
| − | | | + | |Learning Representations of Symbolic Data in Symmetric Spaces |
| − | |||
| | | | ||
| + | |Michael Bleher | ||
| | | | ||
|- | |- | ||
|20.07. | |20.07. | ||
| − | | | + | |Mayer-Vietoris for persistent homology (at Structures days poster session) |
| − | |||
| | | | ||
| + | |Freya Bretz | ||
| | | | ||
|-} | |-} | ||
Latest revision as of 16:14, 17 July 2023
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 applications 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. We will have talks on topics ranging from applications of TDA on real world problems to the abstract mathematical foundations of the subject. An emphasis is put on synergies with Machine Learning. In addition, we aim to discuss works, which are inspired by TDA but not employing it directly. Contributions by participants are very welcome!
Coordinates and Organization
Time: Thursdays 11h15 - 12h45
Location: Mathematikon (INF205), 00.200 (ground floor)
Organizers: Freya Bretz, Lukas Hahn, Daniel Spitz.
Feel free to get in touch with us in the case of questions:
structures-hiwi@mathi.uni-heidelberg.de
Schedule
The following schedule is preliminary; in particular topics can be still subject to slight changes.
| Date | Topic | Info | Speaker | Slides |
|---|---|---|---|---|
| 27.04. | Preliminary meeting (exceptionally in SR Statistik, 02.104!) | |||
| 04.05. | No TDA Seminar session | |||
| 11.05. | Persistent homology of quantum entanglement (based on arxiv:2110.10214) | Daniel Spitz | ||
| 18.05. | No TDA Seminar session (Himmelfahrt) | |||
| 25.05. | Metrizing multiparameter modules | Lukas Waas | ||
| 01.06. | TDA seminar cancelled | |||
| 08.06. | No TDA Seminar session (Fronleichnam) | |||
| 15.06. | An Introduction to Machine Learning for Mathematicians | Sebastian Damrich | ||
| 22.06. | Enhancing computational astrophysics with interpretable machine learning | Tobias Buck | ||
| 29.06. | No TDA Seminar | |||
| 06.07. | On-the-hands coding with TDA and Machine Learning | Lukas Hahn | ||
| 13.07. | Learning Representations of Symbolic Data in Symmetric Spaces | Michael Bleher | ||
| 20.07. | Mayer-Vietoris for persistent homology (at Structures days poster session) | Freya Bretz |