World's Best Scientists 2026 revealed!
Guillaume Carlier

Guillaume Carlier

D-Index & Metrics

Mathematics

D-Index
38
Citations
5947
World Ranking
2348
National Ranking
142

Overview

Guillaume Carlier is affiliated with Paris Dauphine University in France, focusing on mathematical research primarily within the field of mathematics. Their work spans several subfields, including applied mathematics, statistics and probability, sociology and political science, computational theory and mathematics, and mathematical physics.

The research topics that Carlier has contributed to involve geometric analysis and curvature flows, nonlinear partial differential equations, point processes and geometric inequalities, Markov chains and Monte Carlo methods, migration and labor dynamics, advanced neuroimaging techniques and applications, and urban, neighborhood, and segregation studies.

Recent published papers illustrate a focus on optimization and mathematical analysis, including:

  • "On the Linear Convergence of the Multimarginal Sinkhorn Algorithm," 2022, SIAM Journal on Optimization
  • "Convergence rate of general entropic optimal transport costs," 2023, Calculus of Variations and Partial Differential Equations
  • "A Differential Approach to the Multi-Marginal Schrödinger System," 2020, SIAM Journal on Mathematical Analysis
  • "SISTA: Learning Optimal Transport Costs under Sparsity Constraints," 2022, Communications on Pure and Applied Mathematics
  • "Displacement smoothness of entropic optimal transport," 2024, ESAIM Control Optimisation and Calculus of Variations

Carlier has also contributed to book publications, including the work titled "Classical and Modern Optimization," published in 2021 by Advanced textbooks in mathematics.

Frequent coauthors in Carlier's research include Alex Delalande, Katharina Eichinger, Quentin Mérigot, Maxime Laborde, and Alfred Galichon.

The scientist has published regularly in venues such as:

  • arXiv (Cornell University)
  • SIAM Journal on Mathematical Analysis
  • SIAM Journal on Optimization
  • Applied Mathematics & Optimization
  • Calculus of Variations and Partial Differential Equations

Best Publications

  • Barycenters in the Wasserstein Space

    Martial Agueh;Guillaume Carlier

  • Iterative Bregman Projections for Regularized Transportation Problems

    Jean-David Benamou;Guillaume Carlier;Marco Cuturi;Luca Nenna

  • Matching for Teams

    Guillaume Carlier;Ivar Ekeland

  • Augmented Lagrangian Methods for Transport Optimization, Mean Field Games and Degenerate Elliptic Equations

    Jean-David Benamou;Guillaume Carlier

  • Convergence of Entropic Schemes for Optimal Transport and Gradient Flows

    Guillaume Carlier;Vincent Duval;Gabriel Peyré;Bernhard Schmitzer

  • Deep relaxation: partial differential equations for optimizing deep neural networks

    Pratik Chaudhari;Adam M. Oberman;Stanley J. Osher;Stefano Soatto

  • Core of convex distortions of a probability

    Guillaume Carlier;Rose-Anne Dana

  • Variational Mean Field Games

    Jean-David Benamou;Guillaume Carlier;Filippo Santambrogio

  • Optimal Transportation with Traffic Congestion and Wardrop Equilibria

    G. Carlier;C. Jimenez;F. Santambrogio

  • Optimal Demand for Contingent Claims when Agents have law Invariant Utilities

    Guillaume Carlier;Rose-Anne Dana

  • A general existence result for the principal-agent problem with adverse selection

    Guillaume Carlier

  • NUMERICAL METHODS FOR MATCHING FOR TEAMS AND WASSERSTEIN BARYCENTERS

    Guillaume Carlier;Adam Oberman;Edouard Oudet

  • On a Class of Multidimensional Optimal Transportation Problems

    G. Carlier

  • Pareto efficiency for the concave order and multivariate comonotonicity

    Guillaume Carlier;Rose-Anna Dana;Alfred Galichon

  • RETRACTED: Congested traffic dynamics, weak flows and very degenerate elliptic equations

    Lorenzo Brasco;Lorenzo Brasco;Guillaume Carlier;Guillaume Carlier;Filippo Santambrogio

  • Duality and existence for a class of mass transportation problems and economic applications

    Guillaume Carlier

  • From Knothe's transport to Brenier's map and a continuation method for optimal transport

    Guillaume Carlier;Alfred Galichon;Filippo Santambrogio

  • An augmented Lagrangian approach to Wasserstein gradient flows and applications

    Jean-David Benamou;Guillaume Carlier;Maxime Laborde

  • Vector quantile regression: An optimal transport approach

    Guillaume Carlier;Victor Chernozhukov;Alfred Galichon

  • Rearrangement inequalities in non-convex insurance models

    Guillaume Carlier;Rose-Anne Dana

Frequent Co-Authors

Filippo Santambrogio
Filippo Santambrogio Claude Bernard University Lyon 1
Ivar Ekeland
Ivar Ekeland University of British Columbia
Gabriel Peyré
Gabriel Peyré École Normale Supérieure
Giuseppe Buttazzo
Giuseppe Buttazzo University of Pisa
Stanley Osher
Stanley Osher University of California, Los Angeles
Nizar Touzi
Nizar Touzi École Polytechnique
Stefano Soatto
Stefano Soatto University of California, Los Angeles
Marco Cuturi
Marco Cuturi École Nationale de la Statistique et de l'Administration Économique
Pierre Cardaliaguet
Pierre Cardaliaguet Paris Dauphine University
Emmanuel Trélat
Emmanuel Trélat Sorbonne University

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