Research

Publications & Preprints

Wasserstein GANs are Minimax Optimal Distribution Estimators
A. Stéphanovitch, E. Aamari, C. Levrard
[Preprint]

Optimal reach estimation and metric learning
E. Aamari, C. Berenfeld, C. Levrard
Annals of Statistics (2023)
[Preprint]

Minimax Boundary Estimation and Estimation with Boundary
E. Aamari, C. Aaron, C. Levrard
Bernoulli (2023)
[Preprint]

From Graph Centrality to Data Depth
E. Aamari, E. Arias-Castro, C. Berenfeld
[Preprint]

Adversarial Manifold Estimation
E. Aamari, A. Knop
Foundations of Computational Mathematics (2022)
Symposium on Theory of Computing (STOC 2021)
[Preprint]

Non-Asymptotic Rates for Manifold, Tangent Space and Curvature Estimation
E. Aamari, C. Levrard
Annals of Statistics (2019)
[Preprint]

Estimating the Reach of a Manifold
E. Aamari, J. Kim, F. Chazal, B. Michel, A. Rinaldo and L. Wasserman
Electronic Journal of Statistics (2019)
[Preprint]

Stability and Minimax Optimality of Tangential Delaunay Complexes for Manifold Reconstruction
E. Aamari, C. Levrard
Discrete & Computational Geometry (2018)
[Preprint]

PhD Thesis

Rates of Convergence for Geometric Inference
Eddie Aamari
Université Paris-Saclay (2017)
[pdf] [slides]

Notes

Méthode de Stein et inégalités de concentration
[scan]

Introduction à la T-estimation
[scan]

Bornes inférieures minimax
[scan]

Méthode de Stein
[scan]

Méthode de Goldenshluger-Lepski pour l'estimation adaptative de densité
[scan]