48 citations · 205 across the 13 of their papers we have counts for
17 papers
Characterizing the Generalization Error of Random Feature Regression with Arbitrary Data-Augmentation
Lucas Morisset, Alain Durmus, Adrien Hardy
This paper aims at analyzing the regularization effect that data augmentation induces on supervised regression methods in the proportional regime, where the number of covariates gr…
Non-Asymptotic Analysis of Data Augmentation for Precision Matrix Estimation
Lucas Morisset, Adrien Hardy, Alain Durmus
This paper addresses the problem of inverse covariance (also known as precision matrix) estimation in high-dimensional settings. Specifically, we focus on two classes of estimators…
From point processes to quantum optics and back
Rémi Bardenet, Alexandre Feller, Jérémie Bouttier +6
Some fifty years ago, in her seminal PhD thesis, Odile Macchi introduced permanental and determinantal point processes. Her initial motivation was to provide models for the set of…
CLT for Circular beta-Ensembles at High Temperature
Adrien Hardy, Gaultier Lambert
We consider the macroscopic large N limit of the Circular beta-Ensemble at high temperature, and its weighted version as well, in the regime where the inverse temperature scales as…
Mutual Information of Wireless Channels and Block-Jacobi Ergodic Operators
Walid Hachem, Adrien Hardy, Shlomo Shamai
Shannon's mutual information of a random multiple antenna and multipath channel is studied in the general case where the channel impulse response is an ergodic and stationary proce…
DLR equations and rigidity for the Sine-beta process
David Dereudre, Adrien Hardy, Thomas Leblé +1
We investigate Sine, the universal point process arising as the thermodynamic limit of the microscopic scale behavior in the bulk of one-dimensional log-gases, or -ensembles…