2 papers
math.ST2025
Sharp comparisons between sliced and standard -Wasserstein distances
Guillaume Carlier, Alessio Figalli, Quentin Mérigot +1
Sliced Wasserstein distances are widely used in practice as a computationally efficient alternative to Wasserstein distances in high dimensions. In this paper, motivated by theoret…
math.AP2024
On Optimal Transport Maps Between 1 /d-Concave Densities
Guillaume Carlier, Alessio Figalli, Filippo Santambrogio
In this paper, we extend the scope of Caffarelli's contraction theorem, which provides a measure of the Lipschitz constant for optimal transport maps between log-concave probabilit…