Geometry in Data : Statistical Inference & Clustering

2023-2027

Publications

E. Aamari, C. Berenfeld, C. Levrard (2023). Optimal reach estimation and metric learning , The Annals of Statistics, 51.

E. Aamari, C. Aaron, C. Levrard (2023). Minimax Boundary Estimation and Estimation with Boundary, Bernoulli, 29.

T. Bonis, F. Chazal, B. Michel, W. Reise (2024). Topological phase estimation method for reparameterized periodic functions, Advances in Computational Mathematics, 50.

S. Ammous, J. Dedecker, C. Duval (2024). Adaptive directional estimator of the density in Rd for independent and mixing sequences, Journal of Multivariate Analysis, 203.

Z. Oulhaj, M. Carrière, B. Michel (2024). Differentiable mapper for topological optimization of data representation, arXiv preprint arXiv:2402.12854, accepted to ICML 2024.

C. Aaron, M. Garrido (2025) Local Convex Hull density and level set estimation, Hal preprint https://hal.science/hal-04010316/ accepted Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques

Articles soumis

W. Reise, B. Michel, F. Chazal (2024). Topological signatures of periodic-like signals.

S. Delattre & A. Fischer (2024). Estimation via length-constrained generalized empirical principal curves under small noise.

A. Stéphanovitch, E. Aamari, C. Levrard (2024). Wasserstein GANs are Minimax Optimal Distribution Estimators.

S. Delattre & A. Fischer (2024). Convergence rates in curve estimation.