PhD student at Département de mathématiques et applications (DMA, École normale supérieure, Paris) under the supervision of Clément Levrard and Eddie Aamari.
Publications and preprints:
Wasserstein GANs are Minimax Optimal Distribution Estimators, A. Stéphanovitch, E. Aamari, C. Levrard . The Annals of Statistics (2024)
Optimal 1-Wasserstein distance for WGANs, A.Stéphanovitch U. Tanielian, B. Cadre, N. Klutchnikoff, G. Biau. Bernoulli (2024)
Generalization bounds for score-based generative models: a synthetic proof, A. Stéphanovitch, E. Aamari, C. Levrard . Preprint
Regularity of the score function in generative models, A. Stéphanovitch . Preprint
Smooth transport map via diffusion process, A. Stéphanovitch . Preprint
Integral Probability Metrics on submanifolds: interpolation inequalities and optimal inference, A. Stéphanovitch . Preprint
Generative model for optimal density estimation on unknown manifold, A. Stéphanovitch . Preprint
Optimal Transport through a toll, A. Stephanovitch A. Dong, T. Georgiou. European journal of applied mathematics (2024)
Monge–Kantorovich OT through constrictions and flow-rate constraints, A. Dong, A. Stephanovitch, T. Georgiou. Automatica (2024)
Teaching:
Deep learning, M2 Modelisation (2022-2024)
Bayesian statistics, M1 mathématiques fondamentales (2022-2024)
Group theory and arithmetic, L2 mathématiques et informatique (2021-2022)
Research internship supervision, L3 mathématiques ENS (2022-2023)
Talks:
Generative Models in Science and Machine Learning, Heidelberg 2025
Geometry in Data, Nantes 2025
Journées de la statistique française, Marseille 2025
Séminaire de l'équipe statistiques de l'IRMAR, Rennes 2025
Oberwolfach mini-workshop, Oberwolfach 2025
Seminar Probability-Statistics, Paris 2024
Seminar OT-PDE-ML, Orsay 2024
International Symposium on Nonparametric Statistics, Braga 2024
Séminaire d'équipe Analyse, Probas, Stats, Clermont-Ferrand 2024
WORKSHOP "Fondements Mathématiques de l'IA", Paris 2024
PhD seminar data science team of the ENS, Paris 2024
Journées de la statistique française, Bordeaux 2024
Séminaire de modélisation stochastique, Paris 2023
PhD seminar of the maths department of the ENS, Paris 2023
Séminaire DataShape, Porquerolles 2023
PhD seminar of the LPSM, Paris 2023