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A kernel-based two-class classifier for imbalanced data sets

Hong, X., Chen, S. and Harris, C.J. (2007) A kernel-based two-class classifier for imbalanced data sets. IEEE Transactions on Neural Networks, 18 (1). pp. 28-41. ISSN 1045-9227

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To link to this item DOI: 10.1109/TNN.2006.882812


Many kernel classifier construction algorithms adopt classification accuracy as performance metrics in model evaluation. Moreover, equal weighting is often applied to each data sample in parameter estimation. These modeling practices often become problematic if the data sets are imbalanced. We present a kernel classifier construction algorithm using orthogonal forward selection (OFS) in order to optimize the model generalization for imbalanced two-class data sets. This kernel classifier identification algorithm is based on a new regularized orthogonal weighted least squares (ROWLS) estimator and the model selection criterion of maximal leave-one-out area under curve (LOO-AUC) of the receiver operating characteristics (ROCs). It is shown that, owing to the orthogonalization procedure, the LOO-AUC can be calculated via an analytic formula based on the new regularized orthogonal weighted least squares parameter estimator, without actually splitting the estimation data set. The proposed algorithm can achieve minimal computational expense via a set of forward recursive updating formula in searching model terms with maximal incremental LOO-AUC value. Numerical examples are used to demonstrate the efficacy of the algorithm.

Item Type:Article
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Computer Science
ID Code:15274
Uncontrolled Keywords:Forward selection, imbalanced data sets, kernel classifier, leave-one-out (LOO) cross validation, receiver operating characteristics (ROCs)

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