50 citations · 153 across the 32 of their papers we have counts for
41 papers
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…
Quantitative Stability of Barycenters in the Wasserstein Space
Guillaume Carlier, Alex Delalande, Quentin Merigot
Wasserstein barycenters define averages of probability measures in a geometrically meaningful way. Their use is increasingly popular in applied fields, such as image, geometry or l…
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…
Convex geometry of finite exchangeable laws and de Finetti style representation with universal correlated corrections
Guillaume Carlier, Gero Friesecke, Daniela Vögler
We present a novel analogue for finite exchangeable sequences of the de Finetti, Hewitt and Savage theorem and investigate its implications for multi-marginal optimal transport (MM…