The theoretical analysis of FDA and applications

doi:10.1016/j.patcog.2005.09.018

	The theoretical analysis of FDA and applications
	Tao, Q ; Wu, GW ; Wang, J
	2006-06-01
发表期刊	PATTERN RECOGNITION
ISSN	0031-3203
卷号	39 期号:6 页码:1199-1204
摘要	Representation and embedding are usually the two necessary phases in designing a classifier. Fisher discriminant analysis (FDA) is regarded as seeking a direction for which the projected samples are well separated. In this paper, we analyze FDA in terms of representation and embedding. The main contribution is that we prove that the general framework of FDA is based on the simplest and most intuitive FDA with zero within-class variance and therefore the mechanism of FDA is clearly illustrated. Based on our analysis, e-insensitive SVM regression can be viewed as a soft FDA with epsilon-insensitive within-class variance and L-1 norm penalty. To verify this viewpoint, several real classification experiments are conducted to demonstrate that the performance of the regression-based classification technique is comparable to regular FDA and SVM. (c) 2005 Pattern Recognition Society. Published by Elsevier Ltd. All rights reserved.
关键词	classification Fisher discriminant analysis support vector machines LS-SVM regression
DOI	10.1016/j.patcog.2005.09.018
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:000236696400017
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计	被引频次：8[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/10484
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Tao, Q
作者单位	1.Chinese Acad Sci, Inst Automat, Key Lab Complex Syst & Intelligence Sci, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Inst Comp Technol, Bioinformat Res Grp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tao, Q,Wu, GW,Wang, J. The theoretical analysis of FDA and applications[J]. PATTERN RECOGNITION,2006,39(6):1199-1204.
APA	Tao, Q,Wu, GW,&Wang, J.(2006).The theoretical analysis of FDA and applications.PATTERN RECOGNITION,39(6),1199-1204.
MLA	Tao, Q,et al."The theoretical analysis of FDA and applications".PATTERN RECOGNITION 39.6(2006):1199-1204.