Two-step single parameter regularization Fisher discriminant method for face recognition

	Two-step single parameter regularization Fisher discriminant method for face recognition
	Chen, WS ; Yuen, PC ; Huang, J ; Fang, B
刊名	INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE
	2006-03-01
卷号	20 期号:2 页码:189-207
关键词	face recognition Fisher discriminant analysis small sample size problem rank lifting scheme
ISSN号	0218-0014
英文摘要	In face recognition tasks, Fisher discriminant analysis (FDA) is one of the promising methods for dimensionality reduction and discriminant feature extraction. The objective of FDA is to find an optimal projection matrix, which maximizes the between-class-distance and simultaneously minimizes within-class-distance. The main limitation of traditional FDA is the so-called Small Sample Size (3S) problem. It induces that the within-class scatter matrix is singular and then the traditional FDA fails to perform directly for pattern classification. To overcome 3S problem, this paper proposes a novel two-step single parameter regularization Fisher discriminant (2SRFD) algorithm for face recognition. The first semi-regularized step is based on a rank lifting theorem. This step adjusts both the projection directions and their corresponding weights. Our previous three-to-one parameter regularized technique is exploited in the second stage, which just changes the weights of projection directions. It is shown that the final regularized within-class scatter matrix approaches the original within-class scatter matrix as the single parameter tends to zero. Also, our method has good computational complexity. The proposed method has been tested and evaluated with three public available databases, namely ORL, CMU PIE and FERET face databases. Comparing with existing state-of-the-art FDA-based methods in solving the S3 problem, the proposed 2SRFD approach gives the best performance.
WOS研究方向	Computer Science
语种	英语
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号	WOS:000237140000007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/3149]
专题	中国科学院数学与系统科学研究院
作者单位	1.Shenzhen Univ, Coll Sci, Shenzhen 518060, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China 3.Hong Kong Baptist Univ, Dept Comp Sci, Hong Kong, Hong Kong, Peoples R China 4.Sun Yat Sen Univ, Sch Informat Sci & Technol, Guangzhou 510275, Peoples R China 5.Chongqing Univ, Dept Comp Sci, Chongqing 400044, Peoples R China
推荐引用方式 GB/T 7714	Chen, WS,Yuen, PC,Huang, J,et al. Two-step single parameter regularization Fisher discriminant method for face recognition[J]. INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE,2006,20(2):189-207.
APA	Chen, WS,Yuen, PC,Huang, J,&Fang, B.(2006).Two-step single parameter regularization Fisher discriminant method for face recognition.INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE,20(2),189-207.
MLA	Chen, WS,et al."Two-step single parameter regularization Fisher discriminant method for face recognition".INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE 20.2(2006):189-207.