arXiv Machine Learning By Amirmohammad Farzaneh, Osvaldo Simeone

Statistically Valid Post-Training Hyperparameter Selection: From Tuning to Guarantees

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The paper introduces a statistical framework for post‑training hyperparameter selection, emphasizing the learn‑then‑test (LTT) paradigm. It treats hyperparameter tuning as a multiple hypothesis testing problem over a candidate set, enabling the selection of hyperparameters that meet specified reliability constraints such as risk bounds or information‑theoretic limits. The framework provides finite‑sample control of error probabilities using p‑values, e‑values, and concentration inequalities derived from first principles.

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