2 papers
math.PR2026
Concentration of the empirical measure in Wasserstein distance: bounds involving the covering dimension
Jérôme Dedecker, Aurélie Fischer, Bertrand Michel
We give concentration inequalities in Wasserstein distance for the empirical measure of a sequence of independent and identically distributed random variables with values in a Poli…
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…