17 citations · 38 across the 13 of their papers we have counts for
16 papers
Generalization bounds for score-based generative models: a synthetic proof
Arthur Stéphanovitch, Eddie Aamari, Clément Levrard
We establish minimax convergence rates for score-based generative models (SGMs) under the -Wasserstein distance. Assuming the target density lies in a nonparametric $β…
Topological Analysis for Detecting Anomalies (TADA) in Time Series
Frédéric Chazal, Martin Royer, Clément Levrard
This paper introduces new methodology based on the field of Topological Data Analysis for detecting anomalies in multivariate time series, that aims to detect global changes in the…
Wasserstein GANs are Minimax Optimal Distribution Estimators
Arthur Stéphanovitch, Eddie Aamari, Clément Levrard
We provide non asymptotic rates of convergence of the Wasserstein Generative Adversarial networks (WGAN) estimator. We build neural networks classes representing the generators and…
Optimal Reach Estimation and Metric Learning
Eddie Aamari, Clément Berenfeld, Clément Levrard
We study the estimation of the reach, an ubiquitous regularity parameter in manifold estimation and geometric data analysis. Given an i.i.d. sample over an unknown -dimensional…
Topologically penalized regression on manifolds
Olympio Hacquard, Krishnakumar Balasubramanian, Gilles Blanchard +2
We study a regression problem on a compact manifold M. In order to take advantage of the underlying geometry and topology of the data, the regression task is performed on the basis…
Minimax Boundary Estimation and Estimation with Boundary
Eddie Aamari, Catherine Aaron, Clément Levrard
We derive non-asymptotic minimax bounds for the Hausdorff estimation of -dimensional submanifolds with (possibly) non-empty boundary . The m…