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A Study of Cross-Validation and Bootstrap for Accuracy Estimation and Model Selection

by: Ron Kohavi
(1995), pp. 1137-1145.


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Proposition 1: Given a dataset and an inducer, if the inducer is stable under the perturbations caused by deleting the instances for the folds in k-fold cross-validation, the cross-validation estimation will be unbiased and the variance of the estimated accuracy will be approximately acc_cv (1-acc_cv)/n, where n is the number of instances in the dataset.

Corollary 2: Given a dataset and an inducer, if the inducer is stable under the perturbations caused by deleting the test instances for the folds in k-fold cross-validation for various values of k, then the variance of the estimates will be the same.

haiyeong (public ) - 2008-04-28 16:26:58

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We review accuracy estimation methods and compare the two most common methods: crossvalidation and bootstrap. Recent experimental results on artificial data and theoretical results in restricted settings have shown that for selecting a good classifier from a set of classifiers (model selection), ten-fold cross-validation may be better than the more expensive leaveone -out cross-validation. We report on a largescale experiment---over half a million runs of C4.5 and a Naive-Bayes algorithm---to...


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