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

Applications 2009-08-21 v1

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

Cite

@article{arxiv.0908.2904,
  title  = {A bias correction for the minimum error rate in cross-validation},
  author = {Ryan J. Tibshirani and Robert Tibshirani},
  journal= {arXiv preprint arXiv:0908.2904},
  year   = {2009}
}

Comments

Published in at http://dx.doi.org/10.1214/08-AOAS224 the Annals of Applied Statistics (http://www.imstat.org/aoas/) by the Institute of Mathematical Statistics (http://www.imstat.org)

R2 v1 2026-06-21T13:37:19.239Z