A numerical approach to variational problems subject to convexity constraint. - Guillaume Carlier; Thomas Lachand-Robert; Bertrand Maury (Numerische Mathematik, 2001)

Nonparametric Adverse Selection Problems. - Guillaume Carlier (Ann. Oper. Res., 2002)

Core of convex distortions of a probability. - Guillaume Carlier; Rose-Anne Dana (J. Econ. Theory, 2003)

The Structure of Cities. - Guillaume Carlier; Ivar Ekeland (J. Glob. Optim., 2004)

A monotonic algorithm for the optimal control of the Fokker-Planck equation. - Guillaume Carlier; Julien Salomon (CDC, 2008)

Optimal Transportation with Traffic Congestion and Wardrop Equilibria. - Guillaume Carlier; Cristian Jimenez 001; Filippo Santambrogio (SIAM J. Control. Optim., 2008)

Numerical approximation of continuous traffic congestion equilibria. - Fethallah Benmansour; Guillaume Carlier; Gabriel Peyré; Filippo Santambrogio (Networks Heterog. Media, 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)

Derivatives with respect to metrics and applications: subgradient marching algorithm. - Fethallah Benmansour; Guillaume Carlier; Gabriel Peyré; Filippo Santambrogio (Numerische Mathematik, 2010)

On Some Systems Controlled by the Structure of Their Memory. - Giuseppe M. Buttazzo; Guillaume Carlier; Rabah Tahraoui (SIAM J. Control. Optim., 2010)

Barycenters in the Wasserstein Space. - Martial Agueh; Guillaume Carlier (SIAM J. Math. Anal., 2011)

Pareto efficiency for the concave order and multivariate comonotonicity. - Guillaume Carlier; Rose-Anne Dana; Alfred Galichon (J. Econ. Theory, 2012)

From discrete to continuous Wardrop equilibria. - Jean-Bernard Baillon; Guillaume Carlier (Networks Heterog. Media, 2012)

Congested Traffic Equilibria and Degenerate Anisotropic PDEs. - Lorenzo Brasco; Guillaume Carlier (Dyn. Games Appl., 2013)

Pareto optima and equilibria when preferences are incompletely known. - Guillaume Carlier; Rose-Anne Dana (J. Econ. Theory, 2013)

Augmented Lagrangian Methods for Transport Optimization, Mean Field Games and Degenerate Elliptic Equations. - Jean-David Benamou; Guillaume Carlier (J. Optim. Theory Appl., 2015)

Iterative Bregman Projections for Regularized Transportation Problems. - Jean-David Benamou; Guillaume Carlier; Marco Cuturi; Luca Nenna; Gabriel Peyré (SIAM J. Sci. Comput., 2015)

Optimal Transport and Cournot-Nash Equilibria. - Adrien Blanchet; Guillaume Carlier (Math. Oper. Res., 2016)

Discretization of functionals involving the Monge-Ampère operator. - Jean-David Benamou; Guillaume Carlier; Quentin Mérigot; Édouard Oudet (Numerische Mathematik, 2016)

Partial differential equations for training deep neural networks. - Pratik Chaudhari; Adam M. Oberman; Stanley J. Osher; Stefano Soatto; Guillaume Carlier (ACSSC, 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)

Vector quantile regression beyond the specified case. - Guillaume Carlier; Victor Chernozhukov; Alfred Galichon (J. Multivar. Anal., 2017)

Convergence of Entropic Schemes for Optimal Transport and Gradient Flows. - Guillaume Carlier; Vincent Duval; Gabriel Peyré; Bernhard Schmitzer (SIAM J. Math. Anal., 2017)

Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm. - Jean-David Benamou; Guillaume Carlier; Luca Nenna (Numerische Mathematik, 2019)

A Differential Approach to the Multi-Marginal Schrödinger System. - Guillaume Carlier; Maxime Laborde (SIAM J. Math. Anal., 2020)

Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT. - Guillaume Carlier; Katharina Eichinger; Alexey Kroshnin (SIAM J. Math. Anal., 2021)

Quantitative Stability of Barycenters in the Wasserstein Space. - Guillaume Carlier; Alex Delalande; Quentin Mérigot (CoRR, 2022)

On the Linear Convergence of the Multimarginal Sinkhorn Algorithm. - Guillaume Carlier (SIAM J. Optim., 2022)

Fenchel-Young Inequality with a Remainder and Applications to Convex Duality and Optimal Transport. - Guillaume Carlier (SIAM J. Optim., 2023)

Wasserstein Medians: Robustness, PDE Characterization, and Numerics. - Guillaume Carlier; Enis Chenchene; Katharina Eichinger (SIAM J. Math. Anal., 2024)

Quantitative Stability of the Pushforward Operation by an Optimal Transport Map. - Guillaume Carlier; Alex Delalande; Quentin Mérigot (Found. Comput. Math., 2025)