50 citations · 153 across the 32 of their papers we have counts for
19 papers · 1 filter
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…
SISTA: learning optimal transport costs under sparsity constraints
Guillaume Carlier, Arnaud Dupuy, Alfred Galichon +1
In this paper, we describe a novel iterative procedure called SISTA to learn the underlying cost in optimal transport problems. SISTA is a hybrid between two classical methods, coo…
Existence of solutions to principal-agent problems with adverse selection under minimal assumptions
Guillaume Carlier, Kelvin Shuangjian Zhang
We prove an existence result for the principal-agent problem with adverse selection under general assumptions on preferences and allocation spaces. Instead of assuming that the all…