math.ST · 2026-06-23 · No. 32

Statistics Theory, 2026-06-23.

1 new papers in math.ST. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    Generalized nonparametric regression in reproducing kernel Hilbert spaces: Consistency and rates of convergence

    Ioannis Kalogridis

    math.ST · cs.LG · stat.ML

    We develop a comprehensive theory for regularized M-estimation in reproducing kernel Hilbert spaces. Under mild conditions on the loss we establish existence and measurability of the estimator, covering a wide range of convex and non-convex losses, including bounded robust losses. We further prove sharp rates of convergence with an explicit bias-variance decomposition governed by a novel complexity measure. We show that the variance is...

    arxiv.org/abs/2606.22993 · PDF

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