Complexity-reduced scheme for feature extraction with linear discriminant analysis.

Hou, Yuxi; Song, Iickho; Min, Hwang-Ki; Park, Cheol Hoon · IEEE Trans Neural Netw Learn Syst · 2012

basic_science · Level V

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Abstract

Owing to the singularity of the within-class scatter, linear discriminant analysis (LDA) becomes ill-posed for small sample size (SSS) problems. Null-space-based LDA (NLDA), which is an extension of LDA, provides good discriminant performances for SSS problems. Yet, as the original scheme for the feature extractor (FE) of NLDA suffers from a complexity burden, a few modified schemes have since been proposed for complexity reduction. In this brief, by transforming the problem of finding the FE of NLDA into a linear equation problem, a novel scheme is derived, offering a further reduction of the complexity.