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stat.ML2025
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…
stat.ML2024
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…
stat.ML2019
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…