3 citations · 7 across the 10 of their papers we have counts for
Showing 2024Show all
2 papers · 1 filter
math.PR2024
Smooth transport map via diffusion process
Arthur Stéphanovitch
We extend the classical regularity theory of optimal transport to non-optimal transport maps generated by heat flow for perturbations of Gaussian measures. Considering probability…
math.ST2024★ 1 cited
Integral Probability Metrics on submanifolds: interpolation inequalities and optimal inference
Arthur Stéphanovitch
We study interpolation inequalities between Hölder Integral Probability Metrics (IPMs) in the case where the measures have densities on closed submanifolds. Precisely, it is shown…