Showing 2025Show all
2 papers · 1 filter
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.FA2025
Sharp Quantitative Stability for the Prékopa-Leindler and Borell-Brascamp-Lieb Inequalities
Alessio Figalli, Peter van Hintum, Marius Tiba
The Borell-Brascamp-Lieb inequality is a classical extension of the Prékopa-Leindler inequality, which in turn is a functional counterpart of the Brunn-Minkowski inequality. The st…