University of Paris Seminar Series on Data Analytics
in collaboration with the diNo group

Invited Seminar Talk



The Pre-Image Problem from a Topological Perspective
Prof Steve Oudot, Inria and Ecole Polytechnique (France)


when: 16 April 2020, 3pm
where: room Turing Reunion, 7th floor, University of Paris, 45 Rue Des Saints Peres, Paris 75006


Abstract

This talk will be a review of the efforts of the Topological Data Analysis (TDA) community to tackle the preimage problem. After a general introduction on TDA, the main focus will be on recent attempts to invert the TDA operator. While this line of work is still in its infancy, the hope on the long run is to use such inverses for feature interpretation. The mathematical tools involved in the analysis come mainly from metric geometry, spectral theory, and the theory of constructible functions - specific pointers will be given in the course of the exposition.

Short Bio

 Steve Oudot is a Research Scientist in the DataShape team in Inria, and a Professor at Ecole Polytechnique. His research interests span topological data analysis, percistence theory, reconstruction and probing, and mesh generation. He has authored two books on these subjects.


Hosted by: Themis Palpanas

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