About Me

Hi, I am a Maitre de Conférence (Associate Professor) at the Institut de Mathématiques de Marseille and the Ecole Centrale de Marseille, since 2014. I am currently on research sabbatical at the Mathematics Department at the MIT.

Research Interest

My general interests lie in the interaction between statistics and geometry. More recently, I have been focusing my work on barycenters, and in the optimal transport in particular.

Find me online


  1. Chewi, Sinho, Thibaut Le Gouic, Chen Lu, Tyler Maunu, and Philippe Rigollet. 2020. “SVGD as a Kernelized Wasserstein Gradient Flow of the Chi-Squared Divergence.” NeurIPS 2020.
  2. Chewi, Sinho, Thibaut Le Gouic, Chen Lu, Tyler Maunu, Philippe Rigollet, and Austin Stromme. 2020. “Exponential Ergodicity of Mirror-Langevin Diffusions.” NeurIPS 2020.
  3. Le Gouic, Thibaut. 2020. “A Note on Flatness of Non Separable Tangent Cone at a Barycenter.” Comptes Rendus. Mathématique 358(4):489–495.
  4. Ahidar-Coutrix, Adil, Thibaut Le Gouic, and Quentin Paris. 2019. “Convergence Rates for Empirical Barycenters in Metric Spaces: Curvature, Convexity and Extendable Geodesics.” Probability Theory and Related Fields 1–46.
  5. Arias-Castro, Ery, and Thibaut Le Gouic. 2019. “Unconstrained and Curvature-Constrained Shortest-Path Distances and Their Approximation.” Discrete & Computational Geometry 62(1):1–28.
  6. Boissard, Emmanuel, Thibaut Le Gouic, and Jean-Michel Loubes. 2015. “Distribution’s Template Estimate with Wasserstein Metrics.” Bernoulli 21(2):740–759.
  7. Le Gouic, Thibaut, and Quentin Paris. 2018. “A Notion of Stability for K-Means Clustering.” Electronic Journal of Statistics 12(2):4239–4263.
  8. Le Gouic, Thibaut, and Jean-Michel Loubes. 2017. “Existence and Consistency of Wasserstein Barycenters.” Probability Theory and Related Fields 168(3–4):901–917.
  9. Boissard, Emmanuel, and Thibaut Le Gouic. 2014. “On the Mean Speed of Convergence of Empirical and Occupation Measures in Wasserstein Distance.” Pp. 539–563 in Annales de l’IHP Probabilités et statistiques. Vol. 50.


  1. Chewi, Sinho, Julien Clancy, Thibaut Le Gouic, Philippe Rigollet, George Stepaniants, and Austin J. Stromme. 2020. “Fast and Smooth Interpolation on Wasserstein Space.” ArXiv:2010.12101.
  2. Le Gouic, Thibaut, Jean-Michel Loubes, and Philippe Rigollet. 2020. “Projection to Fairness in Statistical Learning.” ArXiv:2005.11720.
  3. Le Gouic, Thibaut, Quentin Paris, Philippe Rigollet, and Austin J. Stromme. 2019. “Fast Convergence of Empirical Barycenters in Alexandrov Spaces and the Wasserstein Space.” ArXiv:1908.00828.
  4. Le Gouic, Thibaut. 2015. “Recovering Metric from Full Ordinal Information.” ArXiv:1506.03762.
  5. Le Gouic, Thibaut. 2015. “Mass Localization.” ArXiv:1506.04136.