123 citations · 527 across the 30 of their papers we have counts for
3 papers · 2 filters
3/4-discrete optimal transport
Frédéric de Gournay, Jonas Kahn, Léo Lebrat
This paper deals with the 3/4-discrete 2-Wasserstein optimal transport between two measures, where one is supported by a set of segment and the other one is supported by a set of D…
Optimal Transport Approximation of 2-Dimensional Measures
Frédéric de Gournay, Jonas Kahn, Léo Lebrat +1
We propose a fast and scalable algorithm to project a given density on a set of structured measures defined over a compact 2D domain. The measures can be discrete or supported on c…
Differentiation and regularity of semi-discrete optimal transport with respect to the parameters of the discrete measure
Frédéric de Gournay, Jonas Kahn, Léo Lebrat
This paper aims at determining under which conditions the semi-discrete optimal transport is twice differentiable with respect to the parameters of the discrete measure and exhibit…