Hypergraph Learning-Based Semi-Supervised Multi-View Spectral Clustering

Graph-based semi-supervised multi-view clustering has demonstrated promising performance and gained significant attention due to its capability to handle sample spaces with arbitrary shapes. Nevertheless, the ordinary graph employed by most existing semi-supervised multi-view clustering methods only...

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Main Authors: Geng Yang, Qin Li, Yu Yun, Yu Lei, Jane You
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/12/19/4083
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author Geng Yang
Qin Li
Yu Yun
Yu Lei
Jane You
author_facet Geng Yang
Qin Li
Yu Yun
Yu Lei
Jane You
author_sort Geng Yang
collection DOAJ
description Graph-based semi-supervised multi-view clustering has demonstrated promising performance and gained significant attention due to its capability to handle sample spaces with arbitrary shapes. Nevertheless, the ordinary graph employed by most existing semi-supervised multi-view clustering methods only captures the pairwise relationships between samples, and cannot fully explore the higher-order information and complex structure among multiple sample points. Additionally, most existing methods do not make full use of the complementary information and spatial structure contained in multi-view data, which is crucial to clustering results. We propose a novel hypergraph learning-based semi-supervised multi-view spectral clustering approach to overcome these limitations. Specifically, the proposed method fully considers the relationship between multiple sample points and utilizes hypergraph-induced hyper-Laplacian matrices to preserve the high-order geometrical structure in data. Based on the principle of complementarity and consistency between views, this method simultaneously learns indicator matrices of all views and harnesses the tensor Schatten p-norm to extract both complementary information and low-rank spatial structure within these views. Furthermore, we introduce an auto-weighted strategy to address the discrepancy between singular values, enhancing the robustness and stability of the algorithm. Detailed experimental results on various datasets demonstrate that our approach surpasses existing state-of-the-art semi-supervised multi-view clustering methods.
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spelling doaj.art-d4476d57756f47bbb29c26b440b5c8be2023-11-19T14:16:59ZengMDPI AGElectronics2079-92922023-09-011219408310.3390/electronics12194083Hypergraph Learning-Based Semi-Supervised Multi-View Spectral ClusteringGeng Yang0Qin Li1Yu Yun2Yu Lei3Jane You4School of Software Engineering, Shenzhen Institute of Information Technology, Shenzhen 518172, ChinaSchool of Software Engineering, Shenzhen Institute of Information Technology, Shenzhen 518172, ChinaSchool of Software Engineering, Shenzhen Institute of Information Technology, Shenzhen 518172, ChinaSchool of Software Engineering, Shenzhen Institute of Information Technology, Shenzhen 518172, ChinaDepartment of Computing, The Hong Kong Polytechnic University, Hong Kong 100872, ChinaGraph-based semi-supervised multi-view clustering has demonstrated promising performance and gained significant attention due to its capability to handle sample spaces with arbitrary shapes. Nevertheless, the ordinary graph employed by most existing semi-supervised multi-view clustering methods only captures the pairwise relationships between samples, and cannot fully explore the higher-order information and complex structure among multiple sample points. Additionally, most existing methods do not make full use of the complementary information and spatial structure contained in multi-view data, which is crucial to clustering results. We propose a novel hypergraph learning-based semi-supervised multi-view spectral clustering approach to overcome these limitations. Specifically, the proposed method fully considers the relationship between multiple sample points and utilizes hypergraph-induced hyper-Laplacian matrices to preserve the high-order geometrical structure in data. Based on the principle of complementarity and consistency between views, this method simultaneously learns indicator matrices of all views and harnesses the tensor Schatten p-norm to extract both complementary information and low-rank spatial structure within these views. Furthermore, we introduce an auto-weighted strategy to address the discrepancy between singular values, enhancing the robustness and stability of the algorithm. Detailed experimental results on various datasets demonstrate that our approach surpasses existing state-of-the-art semi-supervised multi-view clustering methods.https://www.mdpi.com/2079-9292/12/19/4083semi-supervised learningmulti-view clusteringhypergraph learning
spellingShingle Geng Yang
Qin Li
Yu Yun
Yu Lei
Jane You
Hypergraph Learning-Based Semi-Supervised Multi-View Spectral Clustering
Electronics
semi-supervised learning
multi-view clustering
hypergraph learning
title Hypergraph Learning-Based Semi-Supervised Multi-View Spectral Clustering
title_full Hypergraph Learning-Based Semi-Supervised Multi-View Spectral Clustering
title_fullStr Hypergraph Learning-Based Semi-Supervised Multi-View Spectral Clustering
title_full_unstemmed Hypergraph Learning-Based Semi-Supervised Multi-View Spectral Clustering
title_short Hypergraph Learning-Based Semi-Supervised Multi-View Spectral Clustering
title_sort hypergraph learning based semi supervised multi view spectral clustering
topic semi-supervised learning
multi-view clustering
hypergraph learning
url https://www.mdpi.com/2079-9292/12/19/4083
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AT qinli hypergraphlearningbasedsemisupervisedmultiviewspectralclustering
AT yuyun hypergraphlearningbasedsemisupervisedmultiviewspectralclustering
AT yulei hypergraphlearningbasedsemisupervisedmultiviewspectralclustering
AT janeyou hypergraphlearningbasedsemisupervisedmultiviewspectralclustering