3 papers
cs.LG2026
ToMAToMP: Robust and Multi-Parameter Topological Clustering
Ludo Andrianirina, Mathieu Carrière
Topological clustering, and its main algorithm ToMATo, is a clustering method from Topological Data Analysis (TDA) which has been applied successfully in several applications durin…
math.ST2025
Gromov-Wasserstein Bound between Reeb and Mapper Graphs
Ziyad Oulhaj, Mathieu Carrière, Bertrand Michel
Since its introduction as a computable approximation of the Reeb graph, the Mapper graph has become one of the most popular tools from topological data analysis for performing data…
math.AT2025
Sparsification of the Generalized Persistence Diagrams for Scalability through Gradient Descent
Mathieu Carrière, Seunghyun Kim, Woojin Kim
The generalized persistence diagram (GPD) is a natural extension of the classical persistence barcode to the setting of multi-parameter persistence and beyond. The GPD is defined a…