Regularized Moment Measures
Alex Delalande, Sara Farinelli Potential Analysis
[PDF] [journal]
Sharper Exponential Convergence Rates for Sinkhorn's Algorithm in Continuous Settings
Lénaïc Chizat, Alex Delalande, Tomas Vaškevičius Mathematical Programming
[PDF] [journal]
Quantitative Stability of the Pushforward Operation by an Optimal Transport Map
Guillaume Carlier, Alex Delalande, Quentin Mérigot Foundations of Computational Mathematics
[PDF] [journal]
Quantitative Stability of Barycenters in the Wasserstein Space
Guillaume Carlier, Alex Delalande, Quentin Mérigot Probability Theory and Related Fields
[PDF] [journal]
Nearly Tight Convergence Bounds for Semi-discrete Entropic Optimal Transport
Alex Delalande AISTATS 2022
[PDF] [code] [PMLR]
Quantitative Stability of Optimal Transport Maps under Variations of the Target Measure
Alex Delalande, Quentin Mérigot Duke Mathematical Journal
[PDF] [journal]
Quantitative Stability of Optimal Transport Maps and Linearization of the 2-Wasserstein Space
Quentin Mérigot, Alex Delalande, Frédéric Chazal AISTATS 2020
[PDF] [code] [PMLR]
Ph.D. thesis
Quantitative Stability in Quadratic Optimal Transport
Alex Delalande Université Paris-Saclay, 2022
[PDF]