10 citations · 20 across the 5 of their papers we have counts for
6 papers
Whitening Spherical Gaussian Mixtures in the Large-Dimensional Regime
Mohammed Racim Moussa Boudjemaa, Alper Kalle, Xiaoyi Mai +2
Whitening is a classical technique in unsupervised learning that can facilitate estimation tasks by standardizing data. An important application is the estimation of latent variabl…
A Large-Dimensional Analysis of ESPRIT DoA Estimation: Inconsistency and a Correction via RMT
Zhengyu Wang, Wei Yang, Xiaoyi Mai +3
In this paper, we perform asymptotic analyses of the widely used ESPRIT direction-of-arrival (DoA) estimator for large arrays, where the array size and the number of snapshots…
The Breakdown of Gaussian Universality in Classification of High-dimensional Linear Factor Mixtures
Xiaoyi Mai, Zhenyu Liao
The assumption of Gaussian or Gaussian mixture data has been extensively exploited in a long series of precise performance analyses of machine learning (ML) methods, on large datas…
Consistent Semi-Supervised Graph Regularization for High Dimensional Data
Xiaoyi Mai, Romain Couillet
Semi-supervised Laplacian regularization, a standard graph-based approach for learning from both labelled and unlabelled data, was recently demonstrated to have an insignificant hi…
High Dimensional Classification via Regularized and Unregularized Empirical Risk Minimization: Precise Error and Optimal Loss
Xiaoyi Mai, Zhenyu Liao
This article provides, through theoretical analysis, an in-depth understanding of the classification performance of the empirical risk minimization framework, in both ridge-regular…
A random matrix analysis and improvement of semi-supervised learning for large dimensional data
Xiaoyi Mai, Romain Couillet
This article provides an original understanding of the behavior of a class of graph-oriented semi-supervised learning algorithms in the limit of large and numerous data. It is demo…