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Robust Nonconvex Nonnegative Low-rank Representation
Zhao,Yin Ping1; Lu,Xiliang2; Chen,Long1; Tian,Jinyu1; Chen,C. L.Philip1
2019-11
Conference NameInternational Conference on Fuzzy Theory and Its Applications (iFUZZY)
Source Publication2019 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2019
Pages226-231
Conference DateNOV 07-10, 2019
Conference PlaceNew Taipei City, TAIWAN
Abstract

Low-rank representation (LRR) has drawn increasing attention in many areas due to its pleasing efficiency in finding subspaces in high-dimensional data. However, the performance of LRR is effected by two problems. First, LRR may generate negative coding coefficients which lack physical meaning. Second, LRR usually obtains a suboptimal solution since the nuclear norm ||. ||∗ is a loose approximation of the rank function rank(.). To solve the limitations simultaneously, we propose a novel model named Robust Nonconvex Nonnegative Low-rank Representation, termed as RNNLRR. Besides, to rule out the trivial solution, diagonal elements of the coding coefficients are constrained to zero. Based on the alternating direction method of multipliers, an efficient optimization algorithm is derived to solve our model. Experiments on data clustering and noise removal demonstrate the superiority of the proposed RNNLRR.

KeywordAdmm Low-rank Representation Nonconvex Nonnegative Regularization
DOI10.1109/iFUZZY46984.2019.9066269
URLView the original
Indexed ByCPCI-S
Language英語English
WOS Research AreaComputer Science
WOS IDWOS:000569809300020
Scopus ID2-s2.0-85084192833
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Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
CollectionDEPARTMENT OF COMPUTER AND INFORMATION SCIENCE
Corresponding AuthorChen,Long
Affiliation1.University of Macau
2.Wuhan University
First Author AffilicationUniversity of Macau
Corresponding Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Zhao,Yin Ping,Lu,Xiliang,Chen,Long,et al. Robust Nonconvex Nonnegative Low-rank Representation[C],2019:226-231.
APA Zhao,Yin Ping,Lu,Xiliang,Chen,Long,Tian,Jinyu,&Chen,C. L.Philip.(2019).Robust Nonconvex Nonnegative Low-rank Representation.2019 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2019,226-231.
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