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Articles by
Guillaume Carlier
On a class of adversarial classification problems which admit a continuous solution
28 February 2025 by
Guillaume Carlier
and
Maxime Sylvestre
Optimization and Control
Monge-Kantorovich interpolation with constraints and application to a parking problem
4 February 2025 by
Giuseppe Buttazzo
and
others
Optimization and Control
Entropic-Wasserstein barycenters: PDE characterization, regularity and CLT
3 February 2025 by
Guillaume Carlier
and
others
Analysis of PDEs
,
Probability
Wasserstein medians: robustness, PDE characterization and numerics
3 February 2025 by
Guillaume Carlier
and
others
Optimization and Control
,
Analysis of PDEs
Well-posedness and convergence of entropic approximation of semi-geostrophic equations
26 April 2024 by
Guillaume Carlier
and
Hugo Malamut
Analysis of PDEs
,
Mathematical Physics
On Optimal Transport Maps Between 1 /d-Concave Densities
8 April 2024 by
Guillaume Carlier
and
others
at
CEREMADE
Analysis of PDEs
Displacement smoothness of entropic optimal transport
1 March 2024 by
Guillaume Carlier
and
others
Optimization and Control
,
Analysis of PDEs
Quantitative Stability of the Pushforward Operation by an Optimal Transport Map
5 January 2024 by
Guillaume Carlier
and
others
Optimization and Control
Quantitative Stability of Barycenters in the Wasserstein Space
8 March 2023 by
Guillaume Carlier
and
others
Numerical Analysis
,
Optimization and Control
Entropic approximation of
\infty
-optimal transport problems
23 February 2023 by
Guillaume Carlier
and
others
Analysis of PDEs
,
Optimization and Control
A simple city equilibrium model with an application to teleworking
26 July 2022 by
Yves Achdou
and
others
at
CEREMADE
Optimization and Control
A mean field model for the interactions between firms on the markets of their inputs
12 July 2022 by
Yves Achdou
and
others
at
LJLL
Analysis of PDEs
Convergence rate of general entropic optimal transport costs
7 June 2022 by
Guillaume Carlier
and
others
Optimization and Control
,
Analysis of PDEs
Convex geometry of finite exchangeable laws and de Finetti style representation with universal correlated corrections
16 June 2021 by
Guillaume Carlier
and
others
Probability
,
Optimization and Control
Vector quantile regression and optimal transport, from theory to numerics
25 February 2021 by
Guillaume Carlier
and
others
General Economics
,
Economics
SISTA: learning optimal transport costs under sparsity constraints
21 October 2020 by
Guillaume Carlier
and
others
Optimization and Control
,
Methodology
Existence of solutions to principal-agent problems with adverse selection under minimal assumptions
10 March 2020 by
Guillaume Carlier
and
Kelvin Shuangjian Zhang
Optimization and Control
,
Theoretical Economics
An entropy minimization approach to second-order variational mean-field games
29 March 2019 by
Guillaume Carlier
and
others
Optimization and Control
,
Analysis of PDEs
A differential approach to the multi-marginal Schr{ö}dinger system
13 November 2018 by
Guillaume Carlier
and
Maxime Laborde
at
CEREMADE
Functional Analysis
,
Analysis of PDEs
On the total variation Wasserstein gradient flow and the TV-JKO scheme
5 July 2018 by
Guillaume Carlier
and
Clarice Poon
Analysis of PDEs
,
Optimization and Control
Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm
5 March 2018 by
Jean-David Benamou
and
others
Numerical Analysis
,
Mathematical Physics
Deep Relaxation: partial differential equations for optimizing deep neural networks
1 June 2017 by
Pratik Chaudhari
and
others
Machine Learning
,
Analysis of PDEs
Convergence of Entropic Schemes for Optimal Transport and Gradient Flows
8 January 2017 by
Guillaume Carlier
and
others
Analysis of PDEs
,
Numerical Analysis
Vector quantile regression beyond correct specification
21 October 2016 by
Guillaume Carlier
and
others
Optimization and Control
,
Statistics Theory
Computation of Cournot-Nash equilibria by entropic regularization
9 September 2016 by
Adrien Blanchet
and
others
Optimization and Control
,
Numerical Analysis
A splitting method for nonlinear diffusions with nonlocal, nonpotential drifts
15 June 2016 by
Guillaume Carlier
and
Maxime Laborde
Analysis of PDEs
Generalized solutions of a kinetic granular media equation by a gradient flow approach
18 June 2015 by
Martial Agueh
and
Guillaume Carlier
Analysis of PDEs
A Numerical Method to solve Optimal Transport Problems with Coulomb Cost
7 May 2015 by
Jean-David Benamou
and
others
Numerical Analysis
,
Mathematical Physics
On systems of continuity equations with nonlinear diffusion and nonlocal drifts
6 May 2015 by
Guillaume Carlier
and
Maxime Laborde
Analysis of PDEs
Iterative Bregman Projections for Regularized Transportation Problems
16 December 2014 by
Jean-David Benamou
and
others
at
CEREMADE
Numerical Analysis
,
Analysis of PDEs
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