50 citations · 153 across the 32 of their papers we have counts for
4 papers · 2 filters
Displacement smoothness of entropic optimal transport
Guillaume Carlier, Lénaïc Chizat, Maxime Laborde
The function that maps a family of probability measures to the solution of the dual entropic optimal transport problem is known as the Schrödinger map. We prove that when the cost…
A simple city equilibrium model with an application to teleworking
Yves Achdou, Guillaume Carlier, Quentin Petit +1
We propose a simple semi-discrete spatial model where rents, wages and the density of population in a city can be deduced from free-mobility and equilibrium conditions on the labou…
Monge-Kantorovich interpolation with constraints and application to a parking problem
Giuseppe Buttazzo, Guillaume Carlier, Katharina Eichinger
We consider optimal transport problems where the cost for transporting a given probability measure to another one consists of two parts: the first one measures the tran…
Convergence rate of general entropic optimal transport costs
Guillaume Carlier, Paul Pegon, Luca Tamanini
We investigate the convergence rate of the optimal entropic cost to the optimal transport cost as the noise parameter . We show that for a…