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A bias correction for the minimum error rate in cross-validation

Ryan J. Tibshirani, Robert Tibshirani

The Annals of Applied Statistics · 2009 · Volume 3 · Issue 2

DOI: 10.1214/08-AOAS224

Abstract

Tuning parameters in supervised learning problems are often estimated by cross-validation. The minimum value of the cross-validation error can be biased downward as an estimate of the test error at that same value of the tuning parameter. We propose a simple method for the estimation of this bias that uses information from the cross-validation process. As a result, it requires essentially no additional computation. We apply our bias estimate to a number of popular classifiers in various settings, and examine its performance.

Keywords

cross-validation, optimism estimation, prediction error estimation

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