Author

Cosme Louart

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Preprint Aug 2026

A Central Limit Theorem for Regularized M-Estimators

We prove a quantitative central limit theorem for linear functionals of regularized empirical-risk minimizers in the proportional-dimensional regime \(p=O(n)\). The data columns are independent, not necessarily identically distributed, and satisfy a uniform columnwise Poincar\'e inequality. Under uniform curvature and...

Cosme Louart · 1 citation