1 citations · 1 across the 3 of their papers we have counts for
3 papers
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…
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…
Differentiable Mapper For Topological Optimization Of Data Representation
Ziyad Oulhaj, Mathieu Carrière, Bertrand Michel
Unsupervised data representation and visualization using tools from topology is an active and growing field of Topological Data Analysis (TDA) and data science. Its most prominent…