22 citations · 26 across the 9 of their papers we have counts for
4 papers · 1 filter
Approximation of curves with piecewise constant or piecewise linear functions
Frédéric de Gournay, Jonas Kahn, Léo Lebrat
In this paper we compute the Hausdorff distance between sets of continuous curves and sets of piecewise constant or linear discretizations. These sets are Sobolev balls given by th…
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…