Scientific contributions

Papers

•  The statistics of entropic optimal transport with decreasing regularisation - [ArXiv](https://arxiv.org/abs/2412.12007) - 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](https://arxiv.org/abs/2407.21528) - 2024

•  The Riemannian geometry of Sinkhorn divergences (with H. Lavenant, J. Luckhardt, B. Schmitzer and L. Tamanini) - [ArXiv](https://arxiv.org/abs/2405.04987) - 2024

•  Manifold Learning with Sparse Regularised Optimal Transport (with S. Zhang, T. Matsumoto and G. Schiebinger) - [ArXiv](https://arxiv.org/abs/2307.09816) - 2023

•  Regularised optimal self-transport is approximate Gaussian mixture maximum likelihood - [ArXiv](https://arxiv.org/abs/2310.14851) - 2023 - Published in Geometric Science of Information (GSI 2024), Springer LNCS

•  Empirical Optimal Transport under Estimated Costs: Distributional Limits and Statistical Applications (with S. Hundrieser, T. Weitkamp and A. Munk) - [ArXiv](https://arxiv.org/pdf/2301.01287.pdf) - 2023 - Published in Stochastic Processes and their Applications, Vol. 178, 104462 (2024)

•  Quadratically Regularized Optimal Transport: nearly optimal potentials and convergence of discrete Laplace operators (with S. Zhang) - [ArXiv](https://arxiv.org/abs/2212.00103) - 2022

•  Center-Outward Multiple-Output Lorenz Curves and Gini Indices, a measure transportation approach (with M. Hallin) - [ArXiv](https://arxiv.org/pdf/2211.10822.pdf) - 2022 - Published (as "Multiple-Attribute Lorenz Functions and Gini Indices: A Measure Transportation Approach") in Journal of Business & Economic Statistics, 43(4), 1092–1104 (2025)

•  Extrema of multinomial assignment process (with M. Lifshits) - [ArXiv](https://arxiv.org/pdf/2209.05028.pdf) - 2022 - Published in Journal of Applied Probability, 61(1), 198–213 (2024)

•  Statistical analysis of random objects via metric measure Laplacians (with A. Munk) - [ArXiv](https://arxiv.org/abs/2204.06493) - 2023 - Published in SIMODS, 5(2), 528–557 (2023)

•  About limiting spectral distributions of block-rescaled empirical covariance matrices - [ArXiv](http://arxiv.org/abs/2201.07621) - 2022

•  On the Finite-Sample Performance of Measure Transportation-Based Multivariate Rank Tests (with M. Hallin) - [ArXiv](https://arxiv.org/pdf/2111.04705.pdf) - 2022 - Published in Robust and Multivariate Statistical Methods (Festschrift for David E. Tyler), Springer, 2023, pp. 87–119

•  Measuring dependence between random vectors via optimal transport (with J. Segers) - [ArXiv](https://arxiv.org/abs/2104.14023) - 2022 - Published in JMVA, Vol. 189, 104912 (2022)

•  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 - Published in Calcified Tissue International

•  Multivariate Goodness-of-Fit tests based on Wasserstein distance (with M. Hallin and J. Segers) - [ArXiv](https://arxiv.org/abs/2003.06684) - 2021 - Published in Electronic Journal of Statistics, 15(1), 1328–1371 (2021)

•  Maxima and near-maxima of a Gaussian random assignment field (with J. Segers) - [ArXiv](https://arxiv.org/pdf/2004.14722.pdf) - 2021 - Published in Statistics and Probability Letters, Vol. 173, 109087 (2021)

•  Second order optimisation methods for large-scale semi-discrete regularised optimal transport - Technical Report - [PDF](https://drive.google.com/open?id=13DegBKANaU-Gldn_bMKrn6hVi7rDiAkL) - 2020

•  About Sudakov--Fernique inequality - Short note with new interpretation of known results - [PDF](https://drive.google.com/file/d/1Aj2Fnxf5B1zcUQbKHxu_-p979QEWsI4I/view?usp=sharing) - 2020

•  Distribution comparison tests based on space filling curves (with C. Heuchenne) - 2022 - Published (as "Using space filling curves to compare two multivariate distributions with distribution-free tests") in Journal of Computational and Applied Mathematics, Vol. 416, 114494 (2022)

Talks

•  Limiting distribution results for EOT - Munk's Oberseminar - November 2024 - Göttingen

•  Manifold learning with sparse optimal transport - ICSDS - December 2023 - Lisbon

•  Manifold learning with sparse optimal transport - November 2023 - Oberwolfach

•  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 - [Video](https://www.youtube.com/watch?v=CFrHNYgIRs8)

•  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