A Discriminative Feature Selection Method Based on Kernel Principal Component Analysis and HSIC
(Jiangxi University of Chinese Medicine, Nanchang 330004, China)
Abstract
In high-dimensional classification tasks, redundant and irrelevant features increase model complexity and degrade discriminative performance. However, most existing feature selection methods operate in the original feature space and therefore have difficulty characterizing the nonlinear structure of the data. To address this issue, this paper proposes a discriminative feature selection method based on Kernel Principal Component Analysis (KPCA) and the Hilbert–Schmidt Independence Criterion (HSIC), termed KPCA-CM-HSIC. The proposed method first employs KPCA to map the data into a kernel feature space and obtain nonlinear principal component representations. It then constructs a discriminative scoring criterion that integrates class-center separability and local boundary margin to perform a rapid coarse screening of the principal components, thereby reducing the dimensionality of candidate features. Finally, HSIC is used to evaluate the nonlinear dependence between the candidate components and the class labels and to rank the candidate components accordingly, yielding a more discriminative feature subset. Experimental results demonstrate that the proposed method outperforms several classical feature selection approaches in terms of classification accuracy and computational efficiency, indicating its effectiveness and practical value.
Keywords
kernel principal component analysis; Hilbert–Schmidt independence criterion; high-dimensional data; feature selection
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Funding
Development Plan for University level Science and Technology Innovation Team of Jiangxi University of Traditional Chinese Medicine (CXTD22015)
About the authors
Li Xiang (2001-), male, Han nationality, from Tongling, Anhui, master's student, research direction: pharmaceutical data mining; Corresponding author: Nie Bin (1972-), male, Han ethnicity, from Xiajiang, Jiangxi Province, professor, master's supervisor, doctoral student, research direction: pharmaceutical data mining, traditional Chinese medicine informatics, traditional Chinese medicine; Zheng Shuifei (1998-), male, Han nationality, from Shangrao, Jiangxi, master's student, research direction: pharmaceutical data mining; Zhang Zhiyao (2001-), female, Han ethnicity, born in Nanchang, Jiangxi, is a master's student with a research focus on pharmaceutical data mining.