Kernel machine-based rank-lifting regularized discriminant analysis method for face recognition

Authors:
Wen-Sheng Chen;Pong Chi Yuen;Xuehui Xie
Affiliations:
College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, PR China;Department of Computer Science, Hong Kong Baptist University, Hong Kong, PR China;College of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, PR China
Venue:
Neurocomputing
Year:
2011

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Abstract

To address two problems, namely nonlinear problem and singularity problem, of linear discriminant analysis (LDA) approach in face recognition, this paper proposes a novel kernel machine-based rank-lifting regularized discriminant analysis (KRLRDA) method. A rank-lifting theorem is first proven using linear algebraic theory. Combining the rank-lifting strategy with three-to-one regularization technique, the complete regularized methodology is developed on the within-class scatter matrix. The proposed regularized scheme not only adjusts the projection directions but tunes their corresponding weights as well. Moreover, it is shown that the final regularized within-class scatter matrix approaches to the original one as the regularized parameter tends to zero. Two public available databases, namely FERET and CMU PIE face databases, are selected for evaluations. Compared with some existing kernel-based LDA methods, the proposed KRLRDA approach gives superior performance.