Complete Cross-Validation for Nearest Neighbor Classifiers

Matthew Mullin and Rahul Sukthankar
Proceedings of the International Conference on Machine Learning, June, 2000.


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Abstract
Cross-validation is an established technique for estimating the accuracy of a classifier and is normally performed either using a number of random test/train partitions of the data, or using k-fold cross-validation. We present a technique for calculating the complete cross-validation for nearest-neighbor classifiers: i.e., averaging over all desired test/train partitions of data. This technique is applied to several common classifier variants such as K-nearest-neighbor, stratified data partitioning and arbitrary loss functions. We demonstrate, with complexity analysis and experimental timing results, that the technique can be performed in time comparable to k-fold cross-validation, though in effect it averages an exponential number of trials. We show that the results of complete cross-validation are biased equally compared to subsampling and k-fold cross-validation, and there is some reduction in variance. This algorithm offers significant benefits both in terms of time and accuracy.

Keywords
machine learning

Notes
Associated Center(s) / Consortia: Vision and Autonomous Systems Center

Text Reference
Matthew Mullin and Rahul Sukthankar, "Complete Cross-Validation for Nearest Neighbor Classifiers," Proceedings of the International Conference on Machine Learning, June, 2000.

BibTeX Reference
@inproceedings{Sukthankar_2000_3394,
   author = "Matthew Mullin and Rahul Sukthankar",
   title = "Complete Cross-Validation for Nearest Neighbor Classifiers",
   booktitle = "Proceedings of the International Conference on Machine Learning",
   month = "June",
   year = "2000",
}