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| geometry_topology_data_science_spring_2024 [2024/07/04 08:31] – Diaaeldin Taha | geometry_topology_data_science_spring_2024 [2025/03/01 08:54] (current) – [Organization] Diaaeldin Taha |
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| ===== Organization ===== | ===== Organization ===== |
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| * **The Organizers**: Alvaro Diaz, Marzieh Eidi, Celia Hacker, Guillermo Restrepo, Daniel Spitz, Diaaeldin Taha, Francesca Tombari | * **The Organizers**: Marzieh Eidi, Diaaeldin Taha |
| * **MPI Seminar Page**: [[https://www.mis.mpg.de/events/series/mathematical-methods-in-data-science|Mathematical Methods in Data Science]] | * **MPI Seminar Page**: [[https://www.mis.mpg.de/events/series/mathematical-methods-in-data-science|Mathematical Methods in Data Science]] |
| * **Contact**: To contact the organizers, email the lab at ''lab [at] mis [dot] mpg [dot] de''. | * **Contact**: To contact the organizers, email the lab at ''lab [at] mis [dot] mpg [dot] de''. |
| ^ Week 26 | Fri 28.06 | --- | --- | --- | [[https://scads.ai/education/summer-schools/summer-school-2024/|ScaDS Summer School]] - **NO MEETING** | | ^ Week 26 | Fri 28.06 | --- | --- | --- | [[https://scads.ai/education/summer-schools/summer-school-2024/|ScaDS Summer School]] - **NO MEETING** | |
| ^ Week 27 | Fri 05.07 | 09:00–10:30 | E1 05 | Marzieh Eidi | Quantitative and Qualitative Mathematical Data Analysis | | ^ Week 27 | Fri 05.07 | 09:00–10:30 | E1 05 | Marzieh Eidi | Quantitative and Qualitative Mathematical Data Analysis | |
| ^ Week 28 | Fri 12.07 | 09:00–10:30 | E1 05 | Karel Devriendt | Diversity Measures for Data in Metric Spaces | | ^ Week 28 | Fri 12.07 | 09:00–10:30 | E1 05 | Karel Devriendt | Spanning Trees, Effective Resistances and Curvature on Graphs | |
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| ===== Abstracts ===== | ===== Abstracts ===== |
| **Coordinates**: [[https://www.mis.mpg.de/events/event/diversity-measures-for-data-in-metric-spaces|Fri 12.07, 9–10:30 AM, MiS E1 05]] | **Coordinates**: [[https://www.mis.mpg.de/events/event/diversity-measures-for-data-in-metric-spaces|Fri 12.07, 9–10:30 AM, MiS E1 05]] |
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| **Title**: Diversity Measures for Data in Metric Spaces | **Title**: Spanning Trees, Effective Resistances and Curvature on Graphs |
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| **Abstract**: TBA | **Abstract**: Kirchhoff's celebrated matrix tree theorem expresses the number of spanning trees of a graph as the maximal minor of the Laplacian matrix of the graph. In modern language, this determinantal counting formula reflects the fact that spanning trees form a regular matroid. In this talk, I will discuss some consequences of this perspective for the study of a related quantity from electrical circuit theory: the effective resistance. I will give a new characterization of effective resistances in terms of a certain polytope and discuss applications to recent work on discrete notions of curvature based on the effective resistance. |