Fiche de PONT Mathieu

Titre : Analysis of Ensembles of Topological Descriptors
Date : 1 décembre 2023
Heure: 10:00
Résumé : Topological Data Analysis (TDA) forms a collection of tools to generically, robustly and efficiently reveal implicit structural patterns hidden in complex datasets. These tools allow to compute a topological representation for each member of an ensemble of data by encoding its main features of interest in a concise and informative manner. A major challenge consists then in designing analysis tools for such ensembles of topological descriptors. Several tools have been well studied for persistence diagrams, one of the most used descriptor. However, they suffer from a lack of specificity, which can prevent the identification of distinct feature trends within the ensemble. In this thesis, we aimed at developing more advanced analysis tools for ensembles of topological descriptors, capable of tackling the lack of discriminability of persistence diagrams and going beyond what was already available for these objects.
Lieu : Sorbonne Université.