When Kernel Ridge Regression Meets the H"older-Zygmund Class: Minimax Optimality and Failure of Properness

arXiv:2607.26065 · stat.ML, cs.LG, math.ST · Submitted 2026-06-19 · Read on arXiv

Yuxuan Hou

stat.ML, cs.LG, math.ST

Submitted: 2026-06-19

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Kernel Ridge Regression — 4× in this paper · explained in 2 episodes
• Localization — 3× in this paper · explained in 2 episodes
• Minimax Optimality — 3× in this paper · explained in 3 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Intrinsic Dimension — 1× in this paper · explained in 3 episodes
• Overfitting — 1× in this paper · explained in 2 episodes
• Reproducing Kernel Hilbert Space (RKHS) — 1× in this paper · explained in 7 episodes

Sources

• Benign overfitting and adaptive nonparametric regression

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