2 papers
math.OC2023
Wasserstein medians: robustness, PDE characterization and numerics
Guillaume Carlier, Enis Chenchene, Katharina Eichinger
We investigate the notion of Wasserstein median as an alternative to the Wasserstein barycenter, which has become popular but may be sensitive to outliers. In terms of robustness t…
math.AP2023
Entropic approximation of -optimal transport problems
Guillaume Carlier, Camilla Brizzi, Luigi De Pascale
We propose an entropic approximation approach for optimal transportation problems with a supremal cost. We establish -convergence for suitably chosen parameters for the entropic…