Guillaume Carlier

Guillaume Carlier's AcademicInfluence.com Rankings

Guillaume Carlier

Mathematics

#5025

World Rank

#7097

Historical Rank

Game Theory

#31

World Rank

#35

Historical Rank

Measure Theory

#3145

World Rank

#3730

Historical Rank

mathematics Degrees

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Mathematics

Why Is Guillaume Carlier Influential?

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According to Wikipedia, Guillaume Carlier is a French mathematician. Most of his work lies in the field of calculus of variation and optimization. He is a professor of applied mathematics at Paris Dauphine University and a researcher at Mokaplan, a joint INRIA-CNRS-Université Paris-Dauphine team dedicated to research in the field of optimal transport.

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Guillaume Carlier's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Barycenters in the Wasserstein Space (2011) (679)
Iterative Bregman Projections for Regularized Transportation Problems (2014) (649)
Convergence of Entropic Schemes for Optimal Transport and Gradient Flows (2015) (148)
Deep relaxation: partial differential equations for optimizing deep neural networks (2017) (127)
Matching for teams (2010) (126)
Augmented Lagrangian Methods for Transport Optimization, Mean Field Games and Degenerate Elliptic Equations (2015) (117)
NUMERICAL METHODS FOR MATCHING FOR TEAMS AND WASSERSTEIN BARYCENTERS (2014) (106)
Optimal Transportation with Traffic Congestion and Wardrop Equilibria (2006) (106)
A general existence result for the principal-agent problem with adverse selection (2001) (102)
Core of convex distortions of a probability (2003) (99)
Variational Mean Field Games (2017) (97)
From Knothe's Transport to Brenier's Map and a Continuation Method for Optimal Transport (2008) (85)
Vector quantile regression: An optimal transport approach (2014) (82)
OPTIMAL DEMAND FOR CONTINGENT CLAIMS WHEN AGENTS HAVE LAW INVARIANT UTILITIES (2010) (81)
Congested traffic dynamics, weak flows and very degenerate elliptic equations (2010) (78)
On a Class of Multidimensional Optimal Transportation Problems (2003) (77)
Discretization of functionals involving the Monge–Ampère operator (2014) (74)
Duality and existence for a class of mass transportation problems and economic applications (2003) (69)
Pareto efficiency for the concave order and multivariate comonotonicity (2009) (64)
An augmented Lagrangian approach to Wasserstein gradient flows and applications (2016) (63)
Rearrangement inequalities in non-convex insurance models (2005) (63)
Two-persons efficient risk-sharing and equilibria for concave law-invariant utilities (2008) (61)
Pareto efficient insurance contracts when the insurer's cost function is discontinuous (2003) (58)
OPTIMAL TRANSPORTATION FOR THE DETERMINANT (2006) (52)
Optimal Transport and Cournot-Nash Equilibria (2012) (52)
On a weighted total variation minimization problem (2007) (51)
Geodesics for a class of distances in the space of probability measures (2012) (51)
Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm (2017) (45)
Equilibrium structure of a bidimensional asymmetric city (2007) (40)
The Structure of Cities (2004) (40)
A numerical approach to variational problems subject to convexity constraint (2001) (39)
Law invariant concave utility functions and optimization problems with monotonicity and comonotonicity constraints (2006) (39)
Regularity of solutions for some variational problems subject to a convexity constraint (2001) (38)
On the selection of maximal Cheeger sets (2007) (38)
A Numerical Method to Solve Multi-Marginal Optimal Transport Problems with Coulomb Cost (2016) (37)
From Nash to Cournot–Nash equilibria via the Monge–Kantorovich problem (2014) (37)
APPROXIMATION OF MAXIMAL CHEEGER SETS BY PROJECTION (2009) (36)
A variational model for urban planning with traffic congestion (2005) (36)
Tomographic Reconstruction from a Few Views: A Multi-Marginal Optimal Transport Approach (2017) (35)
Derivatives with respect to metrics and applications: subgradient marching algorithm (2010) (35)
Existence and monotonicity of solutions to moral hazard problems (2005) (34)
On certain anisotropic elliptic equations arising in congested optimal transport: Local gradient bounds (2014) (34)
3. Distributed and boundary control problems for the semidiscrete Cahn–Hilliard/Navier–Stokes system with nonsmooth Ginzburg–Landau energies (2017) (32)
An entropy minimization approach to second-order variational mean-field games (2018) (30)
On some optimal control problems governed by a state equation with memory (2008) (29)
Numerical approximation of continuous traffic congestion equilibria (2009) (28)
Efficient Insurance Contracts under Epsilon-Contaminated Utilities (2003) (28)
A continuous theory of traffic congestion and Wardrop equilibria (2012) (24)
Optimal derivatives design for mean–variance agents under adverse selection (2007) (21)
A Differential Approach to the Multi-Marginal Schrödinger System (2018) (20)
A costly state verification model with diversity of opinions (2005) (20)
Vector Quantile Regression (2014) (20)
A numerical solution to Monge’s problem with a Finsler distance as cost (2018) (20)
A splitting method for nonlinear diffusions with nonlocal, nonpotential drifts (2016) (19)
Pareto optima and equilibria when preferences are incompletely known (2013) (18)
Optimal Transportation and Economic Applications (2010) (17)
Exponential convergence for a convexifying equation (2012) (17)
Calculus of variations with convexity constraint (2002) (17)
From discrete to continuous Wardrop equilibria (2012) (17)
A strategy for non-strictly convex transport costs and the example of $¦x-y¦^p$ in $R2$ (2009) (16)
Remarks on existence and uniqueness of Cournot–Nash equilibria in the non-potential case (2014) (16)
Debt contracts with ex-ante and ex-post asymmetric information: an example (2006) (16)
Convex Bodies of Optimal Shape (1997) (15)
Vector quantile regression beyond the specified case (2017) (14)
Congested Traffic Equilibria and Degenerate Anisotropic PDEs (2013) (13)
Augmented Lagrangian methods for transport optimization, Mean-Field Games and degenerate PDEs (2014) (12)
Core of convex distortions of a probability on a non atomic space (2001) (12)
A monotonic algorithm for the optimal control of the Fokker-Planck equation (2008) (12)
Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT (2020) (11)
H1-projection into the set of convex functions : a saddle-point formulation (2001) (11)
Vector quantile regression and optimal transport, from theory to numerics (2020) (10)
Remarks on continuity equations with nonlinear diffusion and nonlocal drifts (2016) (10)
Convergence rate of general entropic optimal transport costs (2022) (10)
On the Linear Convergence of the Multimarginal Sinkhorn Algorithm (2022) (10)
Optimal spatial pricing strategies with transportation costs (2013) (10)
Partial differential equations for training deep neural networks (2017) (10)
Insurance Contracts with deductibles and upper limits (2002) (9)
Optimal monopoly pricing with congestion and random utility via partial mass transport (2018) (9)
On the total variation Wasserstein gradient flow and the TV-JKO scheme (2017) (9)
Approximation of variational problems with a convexity constraint by PDEs of Abreu type (2019) (9)
A Numerical Method to solve Optimal Transport Problems with Coulomb Cost (2015) (9)
Hamilton-Jacobi-Bellman equations for the optimal control of a state equation with memory (2009) (9)
Optimal transportation and the structure of cities (2003) (9)
Topological Optimization and Optimal Transport: In the Applied Sciences (2017) (9)
A PROJECTION APPROACH TO THE NUMERICAL ANALYSIS OF LIMIT LOAD PROBLEMS (2011) (8)
Existence and monotonicity of optimal debt contracts in costly state verification models (2003) (8)
A numerical approach for a class of risk-sharing problems (2011) (8)
A Γ-Convergence Result for the Upper Bound Limit Analysis of Plates (2014) (8)
Computation of Cournot–Nash Equilibria by Entropic Regularization (2016) (8)
Vector quantile regression beyond correct specification (2016) (8)
On systems of continuity equations with nonlinear diffusion and nonlocal drifts (2015) (8)
Differentiability properties of rank-linear utilities (2008) (7)
On the Wasserstein distance between mutually singular measures (2018) (7)
SISTA: Learning Optimal Transport Costs Under Sparsity Constraints (2020) (6)
Representation of the polar cone of convex functions and applications (2008) (6)
4. High-order topological expansions for Helmholtz problems in 2D (2017) (5)
Variational Methods for Tomographic Reconstruction with Few Views (2018) (5)
Are generalized call-spreads efficient ? (2007) (5)
A Planning Problem Combining Calculus of Variations and Optimal Transport (2011) (5)
On the minimizing movement with the 1-Wasserstein distance (2018) (4)
Optimal regions for congested transport (2014) (4)
On Monge's Problem for Bregman-like Cost Functions (2007) (4)
An Iterated Projection Approach to Variational Problems Under Generalized Convexity Constraints (2017) (4)
A system of inequalities arising in mathematical economics and connected with the Monge-Kantorovich problem (2002) (3)
On Pontryagin's Principle for the Optimal Control of some State Equations with Memory (2010) (3)
Representation of the core of convex measure games via Kantorovich potentials (2005) (3)
Convex geometry of finite exchangeable laws and de Finetti style representation with universal correlated corrections (2021) (3)
Exponential convergence for a convexifying equation and a non-autonomous gradient flow for global minimization (2010) (3)
Generalized solutions of a kinetic granular media equation by a gradient flow approach (2015) (3)
Quantitative Stability of Barycenters in the Wasserstein Space (2022) (3)
Nonparametric Adverse Selection Problems (2002) (3)
REMARKS ON A CLASS OF KINETIC MODELS OF GRANULAR MEDIA: ASYMPTOTICS AND ENTROPY BOUNDS (2015) (3)
Lipschitz Continuity of the Schr\"odinger Map in Entropic Optimal Transport (2022) (3)
8. Weak Monge–Ampère solutions of the semi-discrete optimal transportation problem (2017) (3)
RETRACTED: Congested traffic dynamics, weak flows and very degenerate elliptic equations (2010) (2)
A mean field game model for the evolution of cities (2021) (2)
A planning problem combining optimal control and optimal transport (2009) (2)
Equilibrium in quality markets, beyond the transferable case (2019) (2)
Optimal Transport meets Probability, Statistics and Machine Learning (2017) (2)
A note on wage differentials, fixed-wages and adverse selection (2002) (2)
An Augmented Lagrangian Numerical approach to solving Mean-Fields Games (2013) (2)
TESTING ADVERSE SELECTION AND MORAL HAZARD ON FRENCH CAR INSURANCE DATA (2013) (1)
Correction to: Vector quantile regression and optimal transport, from theory to numerics (2020) (1)
A class of total variation minimization problems on the whole space (2009) (1)
Labor Contracts With Two-Dimensional Adverse Selection (2000) (1)
Optimal debt contracts and diversity of opinions: an extreme case of bunching (2003) (1)
On Dynkin's model of economic equilibrium under uncertainty (2001) (1)
Fixed-Wages, Wage Differentials and Worker Heterogeneities (2008) (1)
A Necessary and SuÆcient Optimality Condition for a Class of Nonconvex Scalar Variational Problems (2004) (1)
Classical and Modern Optimization (2021) (1)
Computing the demand of agents with a law invariant utility (2006) (1)
Existence of solutions to principal-agent problems under general preferences and non-compact allocation space (2019) (1)
5. On a new phase field model for the approximation of interfacial energies of multiphase systems (2017) (0)
Softening Bilevel Problems Via Two-scale Gibbs Measures (2019) (0)
Vector quantile regression and optimal transport, from theory to numerics (2020) (0)
Existence of solutions to principal–agent problems with adverse selection under minimal assumptions (2019) (0)
Thomas Lachand-Robert--memorial volume. (2008) (0)
ESAIM: Control, Optimisation and Calculus of Variations (2005) (0)
Computation of Cournot–Nash Equilibria by Entropic Regularization (2017) (0)
On Some Systems Controlled by the Structure of Their Memory (2010) (0)
Ju n 20 12 OPTIMAL TRANSPORT AND COURNOT-NASH EQUILIBRIA (2012) (0)
Visible . A Service of zbw (2014) (0)
A Spatial Pareto Exchange Economy Problem (2023) (0)
Correction to: Vector quantile regression and optimal transport, from theory to numerics (2020) (0)
SISTA : Learning Optimal Transport Costs under Sparsity Constraints (2022) (0)
Entropic approximation of $\infty$-optimal transport problems (2023) (0)
Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm (2018) (0)
Wasserstein interpolation with constraints and application to a parking problem (2022) (0)
Programme on “ Optimal Transport ” April 15 – June 14 , 2019 organized (2019) (0)
Restrictions and identification in a multidimensional risk-sharing problem (2014) (0)
A simple city equilibrium model with an application to teleworking (2022) (0)
A mean field model for the interactions between firms on the markets of their inputs (2022) (0)
COMONOTONIC MEASURES OF MULTIVARIATE RISKS IVAR EKELAND University of British Columbia ALFRED GALICHON (2010) (0)
Fixed-wages, wages differentials : the role of workers'heterogeinities (2003) (0)
Equilibrium in quality markets, beyond the transferable case (2018) (0)

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What Schools Are Affiliated With Guillaume Carlier?

Guillaume Carlier is affiliated with the following schools:

Paris Sciences et Lettres University

Guillaume Carlier's Academic­Influence.com Rankings

Why Is Guillaume Carlier Influential?

Guillaume Carlier's Published Works

Published Works

Other Resources About Guillaume Carlier

What Schools Are Affiliated With Guillaume Carlier?

Guillaume Carlier's AcademicInfluence.com Rankings