Guillaume Carlier

According to our database, Guillaume Carlier authored at least 30 papers between 2001 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2024

Wasserstein Medians: Robustness, PDE Characterization, and Numerics.

Guillaume Carlier, Enis Chenchene, Katharina Eichinger

SIAM J. Math. Anal., 2024

2023

Fenchel-Young Inequality with a Remainder and Applications to Convex Duality and Optimal Transport.

Guillaume Carlier

SIAM J. Optim., September, 2023

2022

On the Linear Convergence of the Multimarginal Sinkhorn Algorithm.

Guillaume Carlier

SIAM J. Optim., 2022

Quantitative Stability of Barycenters in the Wasserstein Space.

Guillaume Carlier, Alex Delalande, Quentin Mérigot

CoRR, 2022

2021

Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT.

Guillaume Carlier, Katharina Eichinger, Alexey Kroshnin

SIAM J. Math. Anal., 2021

2020

A Differential Approach to the Multi-Marginal Schrödinger System.

Guillaume Carlier, Maxime Laborde

SIAM J. Math. Anal., 2020

2019

Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm.

Jean-David Benamou, Guillaume Carlier, Luca Nenna

Numerische Mathematik, 2019

2017

Convergence of Entropic Schemes for Optimal Transport and Gradient Flows.

Guillaume Carlier, Vincent Duval, Gabriel Peyré, Bernhard Schmitzer

SIAM J. Math. Anal., 2017

Vector quantile regression beyond the specified case.

Guillaume Carlier, Victor Chernozhukov, Alfred Galichon

J. Multivar. Anal., 2017

Deep Relaxation: partial differential equations for optimizing deep neural networks.

Pratik Chaudhari, Adam M. Oberman, Stanley J. Osher, Stefano Soatto, Guillaume Carlier

CoRR, 2017

Partial differential equations for training deep neural networks.

Pratik Chaudhari, Adam M. Oberman, Stanley J. Osher, Stefano Soatto, Guillaume Carlier

Proceedings of the 51st Asilomar Conference on Signals, Systems, and Computers, 2017

2016

Discretization of functionals involving the Monge-Ampère operator.

Jean-David Benamou, Guillaume Carlier, Quentin Mérigot, Édouard Oudet

Numerische Mathematik, 2016

Optimal Transport and Cournot-Nash Equilibria.

Adrien Blanchet, Guillaume Carlier

Math. Oper. Res., 2016

2015

Iterative Bregman Projections for Regularized Transportation Problems.

Jean-David Benamou, Guillaume Carlier, Marco Cuturi, Luca Nenna, Gabriel Peyré

SIAM J. Sci. Comput., 2015

Augmented Lagrangian Methods for Transport Optimization, Mean Field Games and Degenerate Elliptic Equations.

Jean-David Benamou, Guillaume Carlier

J. Optim. Theory Appl., 2015

2013

Pareto optima and equilibria when preferences are incompletely known.

Guillaume Carlier, Rose-Anne Dana

J. Econ. Theory, 2013

Congested Traffic Equilibria and Degenerate Anisotropic PDEs.

Lorenzo Brasco, Guillaume Carlier

Dyn. Games Appl., 2013

2012

From discrete to continuous Wardrop equilibria.

Jean-Bernard Baillon, Guillaume Carlier

Networks Heterog. Media, 2012

Pareto efficiency for the concave order and multivariate comonotonicity.

Guillaume Carlier, Rose-Anne Dana, Alfred Galichon

J. Econ. Theory, 2012

2011

Barycenters in the Wasserstein Space.

Martial Agueh, Guillaume Carlier

SIAM J. Math. Anal., 2011

2010

On Some Systems Controlled by the Structure of Their Memory.

Giuseppe M. Buttazzo, Guillaume Carlier, Rabah Tahraoui

SIAM J. Control. Optim., 2010

Derivatives with respect to metrics and applications: subgradient marching algorithm.

Fethallah Benmansour, Guillaume Carlier, Gabriel Peyré, Filippo Santambrogio

Numerische Mathematik, 2010

2009

From Knothe's Transport to Brenier's Map and a Continuation Method for Optimal Transport.

Guillaume Carlier, Alfred Galichon, Filippo Santambrogio

SIAM J. Math. Anal., 2009

Numerical approximation of continuous traffic congestion equilibria.

Fethallah Benmansour, Guillaume Carlier, Gabriel Peyré, Filippo Santambrogio

Networks Heterog. Media, 2009

2008

Optimal Transportation with Traffic Congestion and Wardrop Equilibria.

Guillaume Carlier, Cristian Jimenez, Filippo Santambrogio

SIAM J. Control. Optim., 2008

A monotonic algorithm for the optimal control of the Fokker-Planck equation.

Guillaume Carlier, Julien Salomon

Proceedings of the 47th IEEE Conference on Decision and Control, 2008

2004

The Structure of Cities.

Guillaume Carlier, Ivar Ekeland

J. Glob. Optim., 2004

2003

Core of convex distortions of a probability.

Guillaume Carlier, Rose-Anne Dana

J. Econ. Theory, 2003

2002

Nonparametric Adverse Selection Problems.

Guillaume Carlier

Ann. Oper. Res., 2002

2001

A numerical approach to variational problems subject to convexity constraint.

Guillaume Carlier, Thomas Lachand-Robert, Bertrand Maury

Numerische Mathematik, 2001