A Feature Selection Method for Multivariate Performance Measures

Computer Science – Learning

Scientific paper

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Scientific paper

Feature selection with specific multivariate performance measures is the key to the success of many applications such as information retrieval. In this paper, we propose a feature selection method for multivariate performance measures. The proposed method forms an optimization problem with exponential size of both feature groups and label configurations for a given dataset. To address this problem, a two-layer cutting plane algorithm is proposed. The outer layer performs group feature generation; while the inner layer learns the label configuration for multivariate performance measures. Comprehensive experiments on large-scale and high-dimensional real world datasets show that the proposed method can significantly outperform $l_1$-SVM and SVM-RFE when choosing a small subset of features, and achieve significantly improved performances over SVM$^{perf}$ in terms of $F_1$-score. It also learns a sparse yet effective decision rule for multivariate performance measures.

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