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Hypergraph p-Laplacian Regularization for Remotely Sensed Image Recognition
Xueqi Ma1; Weifeng Liu1; Shuying Li2; Dapeng Tao3; Yicong Zhou4
2019-03
Source PublicationIEEE Transactions on Geoscience and Remote Sensing
ISSN0196-2892
Volume57Issue:3Pages:1585 - 1595
Abstract

—It is of great importance to preserve locality and similarity information in semi-supervised learning (SSL) based applications. Graph based SSL and manifold regularization based SSL including Laplacian regularization (LapR) and Hypergraph Laplacian regularization (HLapR) are representative SSL methods and have achieved prominent performance by exploiting the relationship of sample distribution. However, it is still a great challenge to exactly explore and exploit the local structure of the data distribution. In this paper, we present an effect and effective approximation algorithm of Hypergraph -Laplacian and then propose Hypergraph -Laplacian regularization (HpLapR) to preserve the geometry of the probability distribution. In particular, -Laplacian is a nonlinear generalization of the standard graph Laplacian and Hypergraph is a generalization of a standard graph. Therefore, the proposed HpLapR provides more potential to exploiting the local structure preserving. We apply HpLapR to logistic regression and conduct the implementations for remote sensing image recognition. We compare the proposed HpLapR to several popular manifold regularization based SSL methods including LapR, HLapR and HpLapR on UC-Merced dataset. The experimental results demonstrate the superiority of the proposed HpLapR

KeywordHypergraph Manifold Learning P-laplacian Remote Sensing Semi-supervised Learning
DOIhttp://doi.org/10.1109/TGRS.2018.2867570
Indexed BySCI
Language英语
WOS Research AreaGeochemistry & Geophysics ; Engineering ; Remote Sensing ; Imaging Science & Photographic Technology
WOS SubjectGeochemistry & Geophysics ; Engineering, Electrical & Electronic ; Remote Sensing ; Imaging Science & Photographic Technology
WOS IDWOS:000460321300029
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被引频次[WOS]:16   [WOS记录]     [WOS相关记录]
Document TypeJournal article
专题Faculty of Science and Technology
DEPARTMENT OF COMPUTER AND INFORMATION SCIENCE
Corresponding AuthorWeifeng Liu; Yicong Zhou
Affiliation1.College of Information and Control Engineering, China University of Petroleum (East China), Qingdao 266580, China
2.School of Automation, Xi’an University of Posts and Telecommunications, Xi’an 710121, China
3.School of Information Science and Engineering, Yunnan University, Kunming 650091, China
4.Faculty of Science and Technology, University of Macau, Macau 999078, China
Corresponding Author AffilicationFaculty of Science and Technology
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Xueqi Ma,Weifeng Liu,Shuying Li,et al. Hypergraph p-Laplacian Regularization for Remotely Sensed Image Recognition[J]. IEEE Transactions on Geoscience and Remote Sensing,2019,57(3):1585 - 1595.
APA Xueqi Ma,Weifeng Liu,Shuying Li,Dapeng Tao,&Yicong Zhou.(2019).Hypergraph p-Laplacian Regularization for Remotely Sensed Image Recognition.IEEE Transactions on Geoscience and Remote Sensing,57(3),1585 - 1595.
MLA Xueqi Ma,et al."Hypergraph p-Laplacian Regularization for Remotely Sensed Image Recognition".IEEE Transactions on Geoscience and Remote Sensing 57.3(2019):1585 - 1595.
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