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Robust subspace clustering with independent and piecewise identically distributed noise modeling
Yuanman Li; Jiantao Zhou; Xianwei Zheng; Jinyu Tian; Yuan Yan Tang
2020-01-09
Conference NameConference on Computer Vision and Pattern Recognition (CVPR)
Source PublicationProceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Volume2019-June
Pages8712-8721
Conference Date15-20 June 2019
Conference PlaceLong Beach, CA, USA
Abstract

Most of the existing subspace clustering (SC) frameworks assume that the noise contaminating the data is generated by an independent and identically distributed (i.i.d.) source, where the Gaussianity is often imposed. Though these assumptions greatly simplify the underlying problems, they do not hold in many real-world applications. For instance, in face clustering, the noise is usually caused by random occlusions, local variations and unconstrained illuminations, which is essentially structural and hence satisfies neither the i.i.d. property nor the Gaussianity. In this work, we propose an independent and piecewise identically distributed (i.p.i.d.) noise model, where the i.i.d. property only holds locally. We demonstrate that the i.p.i.d. model better characterizes the noise encountered in practical scenarios, and accommodates the traditional i.i.d. model as a special case. Assisted by this generalized noise model, we design an information theoretic learning (ITL) framework for robust SC through a novel minimum weighted error entropy (MWEE) criterion. Extensive experimental results show that our proposed SC scheme significantly outperforms the state-of-the-art competing algorithms.

DOI10.1109/CVPR.2019.00892
URLView the original
Indexed ByCPCI-S
Language英語English
WOS Research AreaComputer Science
WOS SubjectComputer Science, Artificial intelligenceComputer Science, Theory & Methods
WOS IDWOS:000542649302034
Scopus ID2-s2.0-85078714735
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Cited Times [WOS]:4   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
CollectionUniversity of Macau
AffiliationDepartment of Computer and Information Science, University of Macau, China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Yuanman Li,Jiantao Zhou,Xianwei Zheng,et al. Robust subspace clustering with independent and piecewise identically distributed noise modeling[C],2020:8712-8721.
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