Flexible non-greedy discriminant subspace feature extraction.

Zhao, Henghao; Fu, Liyong; Gao, Zhigang; Ye, Qiaolin; Yang, Zhangjing; Yang, Xubing · Neural Netw · 2019

basic_science · Level V

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Abstract

Recently, L<sub>1</sub>-norm-based non-greedy linear discriminant analysis (NLDA-L<sub>1</sub>) for feature extraction has been shown to be effective for dimensionality reduction, which obtains projection vectors by a non-greedy algorithm. However, it usually acquires unsatisfactory performances due to the utilization of L<sub>1</sub>-norm distance measurement. Therefore, in this brief paper, we propose a flexible non-greedy discriminant subspace feature extraction method, which is an extension of NLDA-L<sub>1</sub> by maximizing the ratio of L<sub>p</sub>-norm inter-class dispersion to intra-class dispersion. Besides, we put forward a powerful iterative algorithm to solve the resulted objective function and also conduct theoretical analysis on the algorithm. Finally, experimental results on image databases show the effectiveness of our method.

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