Guillaume Carlier

Publication Activity (10 Years)

Years Active: 2001-2023
Publications (10 Years): 12

Top Topics

Partial Differential Equations

Image Denoising

Convergence Proof

Ambrosio Tortorelli

Top Venues

SIAM J. Math. Anal.

Numerische Mathematik

Publications

Guillaume Carlier
Fenchel-Young Inequality with a Remainder and Applications to Convex Duality and Optimal Transport. SIAM J. Optim. 33 (3) (2023)
Guillaume Carlier, Alex Delalande, Quentin Mérigot
Quantitative Stability of Barycenters in the Wasserstein Space. CoRR (2022)
Guillaume Carlier
On the Linear Convergence of the Multimarginal Sinkhorn Algorithm. SIAM J. Optim. 32 (2) (2022)
Guillaume Carlier, Katharina Eichinger, Alexey Kroshnin
Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT. SIAM J. Math. Anal. 53 (5) (2021)
Guillaume Carlier, Maxime Laborde
A Differential Approach to the Multi-Marginal Schrödinger System. SIAM J. Math. Anal. 52 (1) (2020)
Jean-David Benamou, Guillaume Carlier, Luca Nenna
Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm. Numerische Mathematik 142 (1) (2019)
Pratik Chaudhari, Adam M. Oberman, Stanley J. Osher, Stefano Soatto, Guillaume Carlier
Partial differential equations for training deep neural networks. ACSSC (2017)
Guillaume Carlier, Victor Chernozhukov, Alfred Galichon
Vector quantile regression beyond the specified case. J. Multivar. Anal. 161 (2017)
Pratik Chaudhari, Adam M. Oberman, Stanley J. Osher, Stefano Soatto, Guillaume Carlier
Deep Relaxation: partial differential equations for optimizing deep neural networks. CoRR (2017)
Guillaume Carlier, Vincent Duval, Gabriel Peyré, Bernhard Schmitzer
Convergence of Entropic Schemes for Optimal Transport and Gradient Flows. SIAM J. Math. Anal. 49 (2) (2017)
Adrien Blanchet, Guillaume Carlier
Optimal Transport and Cournot-Nash Equilibria. Math. Oper. Res. 41 (1) (2016)
Jean-David Benamou, Guillaume Carlier, Quentin Mérigot, Édouard Oudet
Discretization of functionals involving the Monge-Ampère operator. Numerische Mathematik 134 (3) (2016)
Jean-David Benamou, Guillaume Carlier
Augmented Lagrangian Methods for Transport Optimization, Mean Field Games and Degenerate Elliptic Equations. J. Optim. Theory Appl. 167 (1) (2015)
Jean-David Benamou, Guillaume Carlier, Marco Cuturi, Luca Nenna, Gabriel Peyré
Iterative Bregman Projections for Regularized Transportation Problems. SIAM J. Sci. Comput. 37 (2) (2015)
Jean-David Benamou, Guillaume Carlier, Quentin Mérigot, Édouard Oudet
Discretization of functionals involving the Monge-Ampère operator. CoRR (2014)
Lorenzo Brasco, Guillaume Carlier
Congested Traffic Equilibria and Degenerate Anisotropic PDEs. Dyn. Games Appl. 3 (4) (2013)
Guillaume Carlier, Rose-Anne Dana, Alfred Galichon
Pareto efficiency for the concave order and multivariate comonotonicity. J. Econ. Theory 147 (1) (2012)
Jean-Bernard Baillon, Guillaume Carlier
From discrete to continuous Wardrop equilibria. Networks Heterog. Media 7 (2) (2012)
Martial Agueh, Guillaume Carlier
Barycenters in the Wasserstein Space. SIAM J. Math. Anal. 43 (2) (2011)
Giuseppe M. Buttazzo, Guillaume Carlier, Rabah Tahraoui
On Some Systems Controlled by the Structure of Their Memory. SIAM J. Control. Optim. 48 (8) (2010)
Fethallah Benmansour, Guillaume Carlier, Gabriel Peyré, Filippo Santambrogio
Derivatives with respect to metrics and applications: subgradient marching algorithm. Numerische Mathematik 116 (3) (2010)
Fethallah Benmansour, Guillaume Carlier, Gabriel Peyré, Filippo Santambrogio
Numerical approximation of continuous traffic congestion equilibria. Networks Heterog. Media 4 (3) (2009)
Guillaume Carlier, Alfred Galichon, Filippo Santambrogio
From Knothe's Transport to Brenier's Map and a Continuation Method for Optimal Transport. SIAM J. Math. Anal. 41 (6) (2009)
Guillaume Carlier, Cristian Jimenez, Filippo Santambrogio
Optimal Transportation with Traffic Congestion and Wardrop Equilibria. SIAM J. Control. Optim. 47 (3) (2008)
Guillaume Carlier, Julien Salomon
A monotonic algorithm for the optimal control of the Fokker-Planck equation. CDC (2008)
Guillaume Carlier, Rose-Anne Dana
Core of convex distortions of a probability. J. Econ. Theory 113 (2) (2003)
Guillaume Carlier
Nonparametric Adverse Selection Problems. Ann. Oper. Res. 114 (1-4) (2002)
Guillaume Carlier, Thomas Lachand-Robert, Bertrand Maury
A numerical approach to variational problems subject to convexity constraint. Numerische Mathematik 88 (2) (2001)