Research

Publications and preprints

Convergence rates for generative drifting flows: fixed-scale obstructions and multihead acceleration
A. Stéphanovitch, E. Aamari
Preprint, 2026
Statistical Analysis of Markovian Generative Modeling
E. Aamari, A. Stéphanovitch
Preprint, 2026
Adaptive Diffusion Guidance via Stochastic Optimal Control
I. Azangulov, P. Potaptchik, Q. Li, E. Aamari, G. Deligiannidis, J. Rousseau
AISTATS, 2026
Generalization bounds for score-based generative models: a synthetic proof
A. Stéphanovitch, E. Aamari, C. Levrard
Preprint, 2025
A theory of stratification learning
E. Aamari, C. Berenfeld
Preprint, 2024
Wasserstein GANs are Minimax Optimal Distribution Estimators
A. Stéphanovitch, E. Aamari, C. Levrard
Annals of Statistics, 2024
The Coreness and H-Index of Random Geometric Graphs
E. Aamari, E. Arias-Castro, C. Berenfeld
ALEA, Latin American Journal of Probability and Mathematical Statistics, 2024
Optimal Reach Estimation and Metric Learning
E. Aamari, C. Berenfeld, C. Levrard
Annals of Statistics, 2023
Minimax Boundary Estimation and Estimation with Boundary
E. Aamari, C. Aaron, C. Levrard
Bernoulli, 2023
Adversarial Manifold Estimation
E. Aamari, A. Knop
Foundations of Computational Mathematics, 2024, and STOC 2021
Non-Asymptotic Rates for Manifold, Tangent Space and Curvature Estimation
E. Aamari, C. Levrard
Annals of Statistics, 2019
Estimating the Reach of a Manifold
E. Aamari, J. Kim, F. Chazal, B. Michel, A. Rinaldo, L. Wasserman
Electronic Journal of Statistics, 2019
Stability and Minimax Optimality of Tangential Delaunay Complexes for Manifold Reconstruction
E. Aamari, C. Levrard
Discrete and Computational Geometry, 2018

Theses

Statistical Theory for Manifold Learning & Generative Modeling
Eddie Aamari
Habilitation thesis (HDR), École normale supérieure - PSL, 2026
Rates of Convergence for Geometric Inference
Eddie Aamari
PhD thesis, Université Paris-Saclay, 2017