Quantitative Stability of the Pushforward Operation by an Optimal Transport Map
Guillaume Carlier, Alex Delalande, Quentin Mérigot Preprint
[arxiv]
Quantitative Stability of Barycenters in the Wasserstein Space
Guillaume Carlier, Alex Delalande, Quentin Mérigot Probability Theory and Related Fields
[arxiv] [journal]
Nearly Tight Convergence Bounds for Semi-discrete Entropic Optimal Transport
Alex Delalande AISTATS 2022
[arxiv] [code] [PMLR]
Quantitative Stability of Optimal Transport Maps under Variations of the Target Measure
Alex Delalande, Quentin Mérigot Duke Mathematical Journal
[arxiv] [journal]
Quantitative Stability of Optimal Transport Maps and Linearization of the 2-Wasserstein Space
Quentin Mérigot, Alex Delalande, Frédéric Chazal AISTATS 2020
[arxiv] [code] [PMLR]