arthur.stephanovitch@ens.fr

PhD student at Département de mathématiques et applications (DMA, École normale supérieure, Paris) under the supervision of Clément Levrard and Eddie Aamari. You can find the manuscript thesis: Theoretical foundation of generative models.

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)

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Talks:

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