Non-asymptotic estimates of the minimal risk in statistical learning

arXiv:2606.23295 · cs.LG, math.PR, stat.ML · Submitted 2026-06-22 · Read on arXiv

Liming Wu, Sen Yang

Laboratoire de Mathématiques Blaise Pascal, CNRS-UMR 6620, Université Clermont Auvergne · IASM, Harbin Institute of Technology

cs.LG, math.PR, stat.ML

Submitted: 2026-06-22

Comments: 42 pages

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

Terminology

• VC Dimension — 9× in this paper · explained in 2 episodes
• Generalization — 6× in this paper · explained in 14 episodes
• Empirical Risk Principle — 4× in this paper
• Generalization Bounds — 3× in this paper · explained in 2 episodes
• Localization — 3× in this paper · explained in 2 episodes
• Wasserstein Distance — 3× in this paper · explained in 6 episodes
• Regularization — 2× in this paper · explained in 3 episodes
• Fixed Point — 1× in this paper · explained in 2 episodes
• Overfitting — 1× in this paper · explained in 2 episodes
• Papers — 1× in this paper · explained in 3 episodes

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