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http://dx.doi.org/10.7840/kics.2013.38C.2.208

Transformation Technique for Null Space-Based Linear Discriminant Analysis with Lagrange Method  

Hou, Yuxi (한국과학기술원 전기 및 전자공학과 통계학적 신호처리 연구실)
Min, Hwang-Ki (한국과학기술원 전기 및 전자공학과 통계학적 신호처리 연구실)
Song, Iickho (한국과학기술원 전기 및 전자공학과 통계학적 신호처리 연구실)
Choi, Myeong Soo (목포대학교 정보산업연구소)
Park, Sun (목포대학교 정보산업연구소)
Lee, Seong Ro (목포대학교 정보전자공학과)
Abstract
Due to the singularity of the within-class scatter, linear discriminant analysis (LDA) becomes ill-posed for small sample size (SSS) problems. An extension of LDA, the null space-based LDA (NLDA) provides good discriminant performances for SSS problems. In this paper, by applying the Lagrange technique, the procedure of transforming the problem of finding the feature extractor of NLDA into a linear equation problem is derived.
Keywords
feature extraction; Lagrange method; null space-based linear discriminant analysis;
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