Algebraic Wasserstein distance between persistence modules

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Topology, Geometry and Data Seminar
April 13, 2021
4:00PM - 5:00PM
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Zoom info TBA

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Add to Calendar 2021-04-13 16:00:00 2021-04-13 17:00:00 Algebraic Wasserstein distance between persistence modules Speaker:  Katharine Turner (Australian National University) Title:  Algebraic Wasserstein distance between persistence modules Abstract:  It is now well understood that the interleaving distance between persistence modules is the same as the bottleneck distance between their corresponding persistence diagrams. A common choice of metric for between persistence diagrams is the p-Wasserstein distance - where the bottleneck distance is the limit as p goes to infinity. In this talk I shall present an algebraic version of p-Wasserstein distance which is defined for persistence modules and agrees with the p-Wasserstein distance for their corresponding persistence diagrams. I will also discuss new stability results for these Wasserstein distances. The work presented was in collaboration with Primoz Skraba. URL associated with Seminar https://tgda.osu.edu/activities/tdga-seminar/ Zoom info TBA Zoom info TBA Department of Mathematics math@osu.edu America/New_York public
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Speaker:  Katharine Turner (Australian National University)

Title:  Algebraic Wasserstein distance between persistence modules

Abstract:  It is now well understood that the interleaving distance between persistence modules is the same as the bottleneck distance between their corresponding persistence diagrams. A common choice of metric for between persistence diagrams is the p-Wasserstein distance - where the bottleneck distance is the limit as p goes to infinity. In this talk I shall present an algebraic version of p-Wasserstein distance which is defined for persistence modules and agrees with the p-Wasserstein distance for their corresponding persistence diagrams. I will also discuss new stability results for these Wasserstein distances. The work presented was in collaboration with Primoz Skraba.

URL associated with Seminar
https://tgda.osu.edu/activities/tdga-seminar/

Zoom info TBA

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