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Median-of-Means as an Extremal Convex Estimator and a Nonconvex Route to the Trimmed Oracle

arXiv cs.LG · 2026-09-03 Cached

This paper revisits median-of-means estimation from a deterministic optimization perspective and develops a family of block-Lp estimators for robust learning under heavy-tailed and adversarial corruption, showing that nonconvex methods can approach the trimmed oracle performance while remaining computationally tractable.

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