UM
Face recognition via collaborative representation based multiple one-dimensional embedding
Y. Wang1; Yuan Yan Tang1; Luoqing Li2; Jianzhong Wang3
2016-02-16
Source PublicationInternational Journal of Wavelets, Multiresolution and Information Processing
ISSN0219-6913
Volume14Issue:2
Abstract

This paper presents a novel classifier based on collaborative representation (CR) and multiple one-dimensional (1D) embedding with applications to face recognition. To use multiple 1D embedding (1DME) framework in semi-supervised learning is first proposed by one of the authors, J. Wang, in 2014. The main idea of the multiple 1D embedding is the following: Given a high-dimensional dataset, we first map it onto several different 1D sequences on the line while keeping the proximity of data points in the original ambient high-dimensional space. By this means, a classification problem on high dimension reduces to the one in a 1D framework, which can be efficiently solved by any classical 1D regularization method, for instance, an interpolation scheme. The dissimilarity metric plays an important role in learning a decent 1DME of the original dataset. Our another contribution is to develop a collaborative representation based dissimilarity (CRD) metric. Compared to the conventional Euclidean distance based metric, the proposed method can lead to better results. The experimental results on real-world databases verify the efficacy of the proposed method.

KeywordCollaborative Representation Multiple 1d Embedding Smooth Ordering
DOIhttps://doi.org/10.1142/S0219691316400038
URLView the original
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Software Engineering ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000372978500004
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
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Cited Times [WOS]:5   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorY. Wang; Yuan Yan Tang; Luoqing Li; Jianzhong Wang
Affiliation1.Faculty of Science and Technology University of Macau, Macau 999078, P. R. China
2.Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Statistics, Hubei University, Wuhan 430062, P. R. China
3.Department of Mathematics and Statistics Sam Houston State University, Huntsville, TX 77341, USA
First Author AffilicationFaculty of Science and Technology
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Y. Wang,Yuan Yan Tang,Luoqing Li,et al. Face recognition via collaborative representation based multiple one-dimensional embedding[J]. International Journal of Wavelets, Multiresolution and Information Processing,2016,14(2).
APA Y. Wang,Yuan Yan Tang,Luoqing Li,&Jianzhong Wang.(2016).Face recognition via collaborative representation based multiple one-dimensional embedding.International Journal of Wavelets, Multiresolution and Information Processing,14(2).
MLA Y. Wang,et al."Face recognition via collaborative representation based multiple one-dimensional embedding".International Journal of Wavelets, Multiresolution and Information Processing 14.2(2016).
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