Designs for crossvalidating approximation models
Multifold crossvalidation is routinely used for assessing the prediction error of an approximation model for a black-box function. Despite its popularity, this method is known to have high variability. To mitigate this drawback, we propose an experimental design approach that borrows Latin hypercube designs to construct a structured crossvalidation sample such that the input values in each fold achieve uniformity. Theoretical results show that the estimate of the prediction error of the proposed method has significantly smaller variability than its counterpart under independent and identically distributed sampling. Numerical examples corroborate the theoretical results. Copyright 2013, Oxford University Press.
Year of publication: |
2013
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Authors: | Zhang, Qiong ; Qian, Peter Z. G. |
Published in: |
Biometrika. - Biometrika Trust, ISSN 0006-3444. - Vol. 100.2013, 4, p. 997-1004
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Publisher: |
Biometrika Trust |
Saved in:
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