Guillaume Carlier

According to our database1, Guillaume Carlier authored at least 23 papers between 2001 and 2020.

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Bibliography

2020
A Differential Approach to the Multi-Marginal Schrödinger System.
SIAM J. Math. Anal., 2020

2019
Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm.
Numerische Mathematik, 2019

2017
Convergence of Entropic Schemes for Optimal Transport and Gradient Flows.
SIAM J. Math. Anal., 2017

Vector quantile regression beyond the specified case.
J. Multivar. Anal., 2017

Deep Relaxation: partial differential equations for optimizing deep neural networks.
CoRR, 2017

Partial differential equations for training deep neural networks.
Proceedings of the 51st Asilomar Conference on Signals, Systems, and Computers, 2017

2016
Discretization of functionals involving the Monge-Ampère operator.
Numerische Mathematik, 2016

Optimal Transport and Cournot-Nash Equilibria.
Math. Oper. Res., 2016

2015
Iterative Bregman Projections for Regularized Transportation Problems.
SIAM J. Sci. Comput., 2015

Augmented Lagrangian Methods for Transport Optimization, Mean Field Games and Degenerate Elliptic Equations.
J. Optim. Theory Appl., 2015

2013
Congested Traffic Equilibria and Degenerate Anisotropic PDEs.
Dyn. Games Appl., 2013

2012
From discrete to continuous Wardrop equilibria.
Networks Heterog. Media, 2012

Pareto efficiency for the concave order and multivariate comonotonicity.
J. Econ. Theory, 2012

2011
Barycenters in the Wasserstein Space.
SIAM J. Math. Anal., 2011

2010
On Some Systems Controlled by the Structure of Their Memory.
SIAM J. Control. Optim., 2010

Derivatives with respect to metrics and applications: subgradient marching algorithm.
Numerische Mathematik, 2010

2009
From Knothe's Transport to Brenier's Map and a Continuation Method for Optimal Transport.
SIAM J. Math. Anal., 2009

Numerical approximation of continuous traffic congestion equilibria.
Networks Heterog. Media, 2009

2008
Optimal Transportation with Traffic Congestion and Wardrop Equilibria.
SIAM J. Control. Optim., 2008

A monotonic algorithm for the optimal control of the Fokker-Planck equation.
Proceedings of the 47th IEEE Conference on Decision and Control, 2008

2003
Core of convex distortions of a probability.
J. Econ. Theory, 2003

2002
Nonparametric Adverse Selection Problems.
Ann. Oper. Res., 2002

2001
A numerical approach to variational problems subject to convexity constraint.
Numerische Mathematik, 2001


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