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Papers
A central limit theorem for the random assignment problem - ArXiv -2026
Empirical optimal transport potentials: fast rates and a functional central limit theorem (with A. González-Sanz and S. Sheng) - ArXiv -2026
The Catastrophic Failure of The k-Means Algorithm in High Dimensions, and How Hartigan's Algorithm Avoids It (with A. Balanov, T. Bendory, Z. Chen, D. Silva-Sanchez)- ArXiv -2026 - ICML
p- Wasserstein on Networks from 3D to 1D convergence (with M. Burger, A. Fazeny and J. Pietschman) - ArXiv -2026
Quantifying the noise sensitivity of the Wasserstein metric for images (with E. Lager and A. Moscovich) - ArXiv - 2026- ICML
Estimation of algebraic sets: extending PCA beyond linearity (with A. González-Sanz, A. Samperio and B. Sen) - ArXiv -2025
The statistics of entropic optimal transport with decreasing regularisation - ArXiv- 2024
Infinitesimal behavior of Quadratically Regularized Optimal Transport and its relation with the Porous Medium Equation (with A. Garriz-Molina and A. González-Sanz) - ArXiv - 2024
The Riemannian geometry of Sinkhorn divergences (with H. Lavenant, J. Luckhardt, B. Schmitzer and L. Tamanini) - ArXiv - 2024 - Annales de l'Institut Henri Poincaré C
Manifold Learning with Sparse Regularised Optimal Transport (with S. Zhang, T. Matsumoto and G. Schiebinger) - ArXiv - 2023
Regularised optimal self-transport is approximate Gaussian mixture maximum likelihood - ArXiv - 2023 - Soft Methods in Probability and Statistics
Empirical Optimal Transport under Estimated Costs: Distributional Limits and Statistical Applications (with S. Hundrieser, T. Weitkamp and A. Munk) - ArXiv - 2024 - Published in Stochastic Processes and their Applications.
Quadratically Regularized Optimal Transport: nearly optimal potentials and convergence of discrete Laplace operators (with S. Zhang) - ArXiv - 2022
Multiple-Attribute Lorenz Functions and Gini Indices: A Measure Transportation Approach (with M. Hallin) - ArXiv - 2022 - Journal of Business & Economic Statistics
Extrema of multinomial assignment process (with M. Lifshits) - ArXiv - 2022 - Journal of Applied Probability
Statistical analysis of random objects via metric measure Laplacians (with A. Munk) - ArXiv - 2023 - SIMODS
About limiting spectral distributions of block-rescaled empirical covariance matrices - ArXiv - 2022
On the Finite-Sample Performance of Measure Transportation-Based Multivariate Rank Tests (with M. Hallin) - ArXiv - 2022 - Robust and Multivariate Statistical Methods (Festschrift for David E. Tyler)
Measuring dependence between random vectors via optimal transport (with J. Segers) - ArXiv - 2022 - JMVA.
Effects of Orthogeriatric care Models on Outcomes of Hip Fracture Patients: A Systematic Review and Meta-Analysis (with A. Van Heghe, J. Dupont, M. Dejaeger, M.R. Laurent and E. Gielen) - 2021 - Calcified Tissue International
Multivariate Goodness-of-Fit tests based on Wasserstein distance (with M. Hallin and J. Segers) - ArXiv - 2021 - Electronic Journal of Statistics.
Maxima and near-maxima of a Gaussian random assignment field (with J. Segers) - ArXiv - 2021 - Statistics and Probability Letters.
Second order optimisation methods for large-scale semi-discrete regularised optimal transport - Technical Report - PDF - 2020.
About Sudakov--Fernique inequality - Short note with new interpretation of known results - PDF - 2020.
Distribution comparison tests based on space filling curves (with C. Heuchenne) - 2022 - in Journal of Computational and Applied Mathematics.
Talks
Optimal transport with small entropic regularisation - IMS Annual Conference - Salzburg - July 2026
Sampling with Wasserstein Gradient Flow - Applied Math Seminar - Yale University - New Haven - October 2025.
Manifold learning via sparse optimal transport - Networked Mathflows - Bedlewo (Poland) - September 2025.
Optimal transport with small entropic regularisation - Colloqium Bézout - Paris - June 2025
Manifold learning via sparse optimal transport - DESY - Hamburg -- May 2025.
Manifold learning via sparse optimal transport - Charles University - Prague - March 2025.
Central limit for regularized optimal transport with decreasing regularization - Kantorovich initiative - Online - February 2025
Regularized optimal transport: a statistical swiss-knife - Technische Universität München - Munich - January 2025 (interview talk)
Central limit for regularized optimal transport with decreasing regularization - Columbia University - New York - January 2025
On the geometry of the Sinkhorn divergence - ICSDS - Nice - December 2024
Regularized optimal transport: Statistics, diffusion and geometry - Seminar talk - Bochum - November 2024.
Manifold learning via sparse optimal transport - SMPS 2024 - Salzburg - September 2024.
Manifold learning via sparse optimal transport - Bernoulli IMS World Congress - Bochum - August 2024.
Manifold learning via sparse optimal transport - International Centre for Theoretical Sciences - Bangalore - February 2024 (online talk).
Manifold learning with sparse optimal transport - ICSDS - December 2023 - Lisbon
Multiple-output Lorenz curves and Gini coefficients - CMStatistics 2023 - Berlin - December 2023.
Manifold learning via sparse optimal transport - EPFL - December 2023 (interview talk).
Manifold learning with sparse optimal transport - November 2023 - Oberwolfach
Optimal Transport, risk and Lorenz-type curves - ESSEC Business school - Paris - November 2023.
Manifold learning via sparse optimal transport - Columbia University - New York - September 2023.
Manifold learning via sparse optimal transport - Yale University - New Haven - September 2023.
Manifold learning with sparse optimal transport - Yale University - September 2023 - New Haven
Manifold learning with sparse optimal transport - A. Munk's Oberseminar - June 2023 - Göttingen
Dynamics of Cytoskeletal Networks: From Geometric Structure to Cell Mechanics – SFB Meeting – August 2022 - Goslar
Statistical analysis of random objects via metric measure Laplacians - SFB Working Group 4 meeting - May 2022 - Göttingen
OT-based multivariate ranks - A. Munk's Oberseminar - January 2022 - Göttingen
Measuring dependence between random vectors via optimal transport - December 2021 - KULeuven (invited)
Transporting probability measures - August 2021 - PhD defense - UCLouvain
Deux applications de la distance de Wasserstein à la statistique (Two applications of the Wasserstein distance to statistics) - December 2020 - Quatrième rencontre Poitiers-Bordeaux (invited)
Wasserstein-based dependence measures - December 2020 - Brown Bag Statistics Seminar - UCLouvain
Multivariate Goodness-of-Fit tests based on Wasserstein distance - Bernoulli-IMS One World Symposium - August 2020
Multivariate Goodness-of-Fit tests based on Wasserstein distance - October 2019 - 27th Annual meeting of the Royal Statistical Society of Belgium
Distribution comparison tests based on self-similar transport of measure - October 2018 - 26th Annual meeting of the Royal Statistical Society of Belgium
Distribution comparison tests based on self-similar transport of measure - September 2018 - Young Researcher's day (internal seminar) - UCLouvain
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