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Abstract
Traditional supervised learning algorithms do not satisfactorily solve the classification problem on imbalanced data sets, since they tend to assign the majority class, to the detriment of the minority class classification. In this paper, we introduce the Bayesian network-based over-sampling method (BOSME), which is a new over-sampling methodology based on Bayesian networks. Over-sampling methods handle imbalanced data by generating synthetic minority instances, with the benefit that classifiers learned from a more balanced data set have a better ability to predict the minority class. What makes BOSME different is that it relies on a new approach, generating artificial instances of the minority class following the probability distribution of a Bayesian network that is learned from the original minority classes by likelihood maximization. We compare BOSME with the benchmark synthetic minority over-sampling technique (SMOTE) through a series of experiments in the context of indirect cost-sensitive learning, with some state-of-the-art classifiers and various data sets, showing statistical evidence in favor of BOSME, with respect to the expected (misclassification) cost.
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Details

1 Universitat Autònoma de Barcelona, Department of Mathematics, Cerdanyola del Vallès, Spain (GRID:grid.7080.f) (ISNI:0000 0001 2296 0625)
2 Universitat Autònoma de Barcelona, Department of Mathematics, Cerdanyola del Vallès, Spain (GRID:grid.7080.f) (ISNI:0000 0001 2296 0625); University of the Basque Country (UPV/EHU), Department of Applied Mathematics, Eibar, Spain (GRID:grid.11480.3c) (ISNI:0000000121671098)