A1 Refereed original research article in a scientific journal

An experimental comparison of cross-validation techniques for estimating the area under the ROC curve




AuthorsAirola A, Pahikkala T, Waegeman W, De Baets B, Salakoski T

PublisherELSEVIER SCIENCE BV

Publication year2011

JournalComputational Statistics and Data Analysis

Journal name in sourceCOMPUTATIONAL STATISTICS & DATA ANALYSIS

Journal acronymCOMPUT STAT DATA AN

Number in series4

Volume55

Issue4

First page 1828

Last page1844

Number of pages17

ISSN0167-9473

DOIhttps://doi.org/10.1016/j.csda.2010.11.018

Self-archived copy’s web addresshttps://research.utu.fi/converis/portal/detail/Publication/2930618


Abstract
Reliable estimation of the classification performance of inferred predictive models is difficult when working with small data sets. Cross-validation is in this case a typical strategy for estimating the performance. However, many standard approaches to cross-validation suffer from extensive bias or variance when the area under the ROC curve (AUC) is used as the performance measure. This issue is explored through an extensive simulation study. Leave-pair-out cross-validation is proposed for conditional AUC-estimation, as it is almost unbiased, and its deviation variance is as low as that of the best alternative approaches. When using regularized least-squares based learners, efficient algorithms exist for calculating the leave-pair-out cross-validation estimate.

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