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New research links cross-validation tuning to SURE for regularized estimators

A new research paper introduces a theoretical framework for understanding the performance of regularized empirical risk minimization (ERM) estimators. The study demonstrates that the asymptotic risk of these estimators, when tuned using n-fold cross-validation (CV), converges to the risk function of shrinkage estimators tuned by Stein's Unbiased Risk Estimate (SURE). This finding offers a more detailed insight into predictive performance by quantifying how risk varies with the true parameter, moving beyond uniform worst-case regret bounds. AI

IMPACT Provides a theoretical foundation for understanding and improving model tuning in machine learning.

RANK_REASON Academic paper on statistical theory for machine learning estimators. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New research links cross-validation tuning to SURE for regularized estimators

COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Karun Adusumilli, Maximilian Kasy, Ashia Wilson ·

    From Cross-Validation to SURE: Asymptotic Risk of Tuned Regularized Estimators

    arXiv:2603.20388v2 Announce Type: replace-cross Abstract: We derive the asymptotic risk function of regularized empirical risk minimization (ERM) estimators tuned by $n$-fold cross-validation (CV). The out-of-sample prediction loss of such estimators converges in distribution to …