Knowledge Commons of Institute of Automation,CAS
Hyper-Laplacian Regularized Multilinear Multiview Self-Representations for Clustering and Semisupervised Learning | |
Xie, Yuan1; Zhang, Wensheng1; Qu, Yanyun2; Dai, Longquan3; Tao, Dacheng4,5 | |
发表期刊 | IEEE TRANSACTIONS ON CYBERNETICS |
ISSN | 2168-2267 |
2020-02-01 | |
卷号 | 50期号:2页码:572-586 |
通讯作者 | Qu, Yanyun(yyqu@xmu.edu.cn) |
摘要 | In this paper, we address the multiview nonlinear subspace representation problem. Traditional multiview subspace learning methods assume that the heterogeneous features of the data usually lie within the union of multiple linear subspaces. However, instead of linear subspaces, the data feature actually resides in multiple nonlinear subspaces in many real-world applications, resulting in unsatisfactory clustering performance. To overcome this, we propose a hyper-Laplacian regularized multilinear multiview self-representation model, which is referred to as HLR-(MVS)-V-2, to jointly learn multiple views correlation and a local geometrical structure in a unified tensor space and view-specific self-representation feature spaces, respectively. In unified tensor space, a well-founded tensor low-rank regularization is adopted to impose on the self-representation coefficient tensor to ensure global consensus among different views. In view-specific feature space, hypergraph-induced hyper-Laplacian regularization is utilized to preserve the local geometrical structure embedded in a high-dimensional ambient space. An efficient algorithm is then derived to solve the optimization problem of the established model with theoretical convergence guarantee. Furthermore, the proposed model can be extended to semisupervised classification without introducing any additional parameters. An extensive experiment of our method is conducted on many challenging datasets, where a clear advance over state-of-the-art multiview clustering and multiview semisupervised classification approaches is achieved. |
关键词 | Tensile stress Manifolds Encoding Laplace equations Semisupervised learning Correlation Optimization Manifold regularization multilinear multiview features nonlinear subspace clustering tensor singular-value decomposition (t-SVD) |
DOI | 10.1109/TCYB.2018.2869789 |
关键词[WOS] | SPARSE ; CLASSIFICATION ; RECOGNITION ; FRAMEWORK ; ALGORITHM ; SCENE ; GRAPH |
收录类别 | SCI |
语种 | 英语 |
资助项目 | National Natural Science Foundation of China[61772524] ; National Natural Science Foundation of China[61772525] ; National Natural Science Foundation of China[61876161] ; National Natural Science Foundation of China[61701235] ; National Natural Science Foundation of China[61373077] ; National Natural Science Foundation of China[61602482] ; Beijing Municipal Natural Science Foundation[4182067] ; Fundamental Research Funds for the Central Universities[30917011323] ; Australian Research Council[FT-130101457] ; Australian Research Council[DP-120103730] ; Australian Research Council[LP-150100671] ; National Natural Science Foundation of China[61772524] ; National Natural Science Foundation of China[61772525] ; National Natural Science Foundation of China[61876161] ; National Natural Science Foundation of China[61701235] ; National Natural Science Foundation of China[61373077] ; National Natural Science Foundation of China[61602482] ; Beijing Municipal Natural Science Foundation[4182067] ; Fundamental Research Funds for the Central Universities[30917011323] ; Australian Research Council[FT-130101457] ; Australian Research Council[DP-120103730] ; Australian Research Council[LP-150100671] |
项目资助者 | National Natural Science Foundation of China ; Beijing Municipal Natural Science Foundation ; Fundamental Research Funds for the Central Universities ; Australian Research Council |
WOS研究方向 | Automation & Control Systems ; Computer Science |
WOS类目 | Automation & Control Systems ; Computer Science, Artificial Intelligence ; Computer Science, Cybernetics |
WOS记录号 | WOS:000506849800015 |
出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
七大方向——子方向分类 | 机器学习 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.ia.ac.cn/handle/173211/29494 |
专题 | 多模态人工智能系统全国重点实验室_人工智能与机器学习(杨雪冰)-技术团队 |
通讯作者 | Qu, Yanyun |
作者单位 | 1.Chinese Acad Sci, Inst Automat, Res Ctr Precis Sensing & Control, Beijing 100190, Peoples R China 2.Xiamen Univ, Sch Informat Sci & Technol, Xiamen 361005, Peoples R China 3.Nanjing Univ Sci & Technol, Sch Comp Sci & Engn, Nanjing 210094, Peoples R China 4.Univ Sydney, UBTECH Sydney Artificial Intelligence Ctr, Darlington, NSW 2008, Australia 5.Univ Sydney, Fac Engn & Informat Technol, Sch Informat Technol, Darlington, NSW 2008, Australia |
第一作者单位 | 精密感知与控制研究中心 |
推荐引用方式 GB/T 7714 | Xie, Yuan,Zhang, Wensheng,Qu, Yanyun,et al. Hyper-Laplacian Regularized Multilinear Multiview Self-Representations for Clustering and Semisupervised Learning[J]. IEEE TRANSACTIONS ON CYBERNETICS,2020,50(2):572-586. |
APA | Xie, Yuan,Zhang, Wensheng,Qu, Yanyun,Dai, Longquan,&Tao, Dacheng.(2020).Hyper-Laplacian Regularized Multilinear Multiview Self-Representations for Clustering and Semisupervised Learning.IEEE TRANSACTIONS ON CYBERNETICS,50(2),572-586. |
MLA | Xie, Yuan,et al."Hyper-Laplacian Regularized Multilinear Multiview Self-Representations for Clustering and Semisupervised Learning".IEEE TRANSACTIONS ON CYBERNETICS 50.2(2020):572-586. |
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