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Linear discriminant analysis using rotational invariant L-1 norm
Li, Xi1,4; Hu, Weiming1; Wang, Hanzi2; Zhang, Zhongfei3
2010-08-01
发表期刊NEUROCOMPUTING
卷号73期号:13-15页码:2571-2579
文章类型Article
摘要Linear discriminant analysis (LDA) is a well-known scheme for supervised subspace learning. It has been widely used in the applications of computer vision and pattern recognition. However, an intrinsic limitation of LDA is the sensitivity to the presence of outliers, due to using the Frobenius norm to measure the inter-class and intra-class distances. In this paper, we propose a novel rotational invariant L-1 norm (i.e., R-1 norm) based discriminant criterion (referred to as DCL1), which better characterizes the intra-class compactness and the inter-class separability by using the rotational invariant L-1 norm instead of the Frobenius norm. Based on the DCL1, three subspace learning algorithms (i.e., 1DL(1), 2DL(1), and TDL1) are developed for vector-based, matrix-based, and tensor-based representations of data, respectively. They are capable of reducing the influence of outliers substantially, resulting in a robust classification. Theoretical analysis and experimental evaluations demonstrate the promise and effectiveness of the proposed DCL1 and its algorithms. (C) 2010 Elsevier B.V. All rights reserved.
关键词Linear Discriminant Analysis Face Classification R-1 Norm
WOS标题词Science & Technology ; Technology
关键词[WOS]FACE RECOGNITION
收录类别SCI
语种英语
WOS研究方向Computer Science
WOS类目Computer Science, Artificial Intelligence
WOS记录号WOS:000281612300030
引用统计
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/9728
专题模式识别国家重点实验室_视频内容安全
作者单位1.Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Beijing, Peoples R China
2.Univ Adelaide, Dept Comp Sci, Adelaide, SA 5005, Australia
3.SUNY Binghamton, Binghamton, NY 13902 USA
4.TELECOM ParisTech, CNRS, Paris, France
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Li, Xi,Hu, Weiming,Wang, Hanzi,et al. Linear discriminant analysis using rotational invariant L-1 norm[J]. NEUROCOMPUTING,2010,73(13-15):2571-2579.
APA Li, Xi,Hu, Weiming,Wang, Hanzi,&Zhang, Zhongfei.(2010).Linear discriminant analysis using rotational invariant L-1 norm.NEUROCOMPUTING,73(13-15),2571-2579.
MLA Li, Xi,et al."Linear discriminant analysis using rotational invariant L-1 norm".NEUROCOMPUTING 73.13-15(2010):2571-2579.
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