2 papers
math.ST2023
Empirical Optimal Transport under Estimated Costs: Distributional Limits and Statistical Applications
Shayan Hundrieser, Gilles Mordant, Christoph Alexander Weitkamp +1
Optimal transport (OT) based data analysis is often faced with the issue that the underlying cost function is (partially) unknown. This paper is concerned with the derivation of di…
math.ST2022
Statistical analysis of random objects via metric measure Laplacians
Gilles Mordant, Axel Munk
In this paper, we consider a certain convolutional Laplacian for metric measure spaces and investigate its potential for the statistical analysis of complex objects. The spectrum o…