Knowledge Commons of Institute of Automation,CAS
Perturbation LDA: Learning the difference between the class empirical mean and its expectation | |
Zheng, Wei-Shi2,3; Lai, J. H.1,3; Yuen, Pong C.4; Lie, Stan Z.5,6 | |
发表期刊 | PATTERN RECOGNITION |
2009-05-01 | |
卷号 | 42期号:5页码:764-779 |
文章类型 | Article |
摘要 | Fisher's linear discriminant analysis (LDA) is popular for dimension reduction and extraction of discriminant features in many pattern recognition applications, especially biometric learning. In deriving the Fisher's LDA formulation, there is an assumption that the class empirical mean is equal to its expectation. However, this assumption may not be valid in practice. In this paper, from the "perturbation" perspective, we develop a new algorithm, called perturbation LDA (P-LDA), in which perturbation random vectors are introduced to learn the effect of the difference between the class empirical mean and its expectation in Fisher criterion. This perturbation learning in Fisher criterion would yield new forms of within-class and between-class covariance matrices integrated with some perturbation factors. Moreover, a method is proposed for estimation of the covariance matrices of perturbation random vectors for practical implementation. The proposed P-LDA is evaluated on both synthetic data sets and real face image data sets. Experimental results show that P-LDA outperforms the popular Fisher's LDA-based algorithms in the undersampled case. (C) 2008 Elsevier Ltd. All rights reserved. |
关键词 | Fisher Criterion Perturbation Analysis Face Recognition |
WOS标题词 | Science & Technology ; Technology |
关键词[WOS] | LINEAR DISCRIMINANT-ANALYSIS ; FACE-RECOGNITION ; TRANSFORMATION ; REDUCTION ; ALGORITHM ; SAMPLES ; PCA |
收录类别 | SCI |
语种 | 英语 |
WOS研究方向 | Computer Science ; Engineering |
WOS类目 | Computer Science, Artificial Intelligence ; Engineering, Electrical & Electronic |
WOS记录号 | WOS:000263431200016 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.ia.ac.cn/handle/173211/9717 |
专题 | 多模态人工智能系统全国重点实验室_生物识别与安全技术 |
作者单位 | 1.Sun Yat Sen Univ, Sch Informat Sci & Technol, Dept Elect & Commun Engn, Guangzhou 510275, Guangdong, Peoples R China 2.Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China 3.Guangdong Prov Key Lab Informat Secur, Guangzhou, Guangdong, Peoples R China 4.Hong Kong Baptist Univ, Dept Comp Sci, Hong Kong, Hong Kong, Peoples R China 5.Chinese Acad Sci, Ctr Biometr & Secur Res, Beijing, Peoples R China 6.Chinese Acad Sci, Natl Lab Pattern Recognit, Inst Automat, Beijing, Peoples R China |
推荐引用方式 GB/T 7714 | Zheng, Wei-Shi,Lai, J. H.,Yuen, Pong C.,et al. Perturbation LDA: Learning the difference between the class empirical mean and its expectation[J]. PATTERN RECOGNITION,2009,42(5):764-779. |
APA | Zheng, Wei-Shi,Lai, J. H.,Yuen, Pong C.,&Lie, Stan Z..(2009).Perturbation LDA: Learning the difference between the class empirical mean and its expectation.PATTERN RECOGNITION,42(5),764-779. |
MLA | Zheng, Wei-Shi,et al."Perturbation LDA: Learning the difference between the class empirical mean and its expectation".PATTERN RECOGNITION 42.5(2009):764-779. |
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