BACVC: Bi-adaptive and cross-view consistency for incomplete multi-view subspace clustering

Multi-view subspace clustering leverages complementary information from different views to uncover latent subspaces. However, incomplete multi-view data is prevalent, particularly in fields such as communication systems. Incomplete Multi-View Subspace Clustering (IMSC) addresses this challenge but f...

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Main Authors: Jiaqiyu Zhan, Yuesheng Zhu, Guibo Luo
Format: Article
Language:English
Published: Elsevier 2025-04-01
Series:Alexandria Engineering Journal
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Online Access:http://www.sciencedirect.com/science/article/pii/S1110016825001164
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author Jiaqiyu Zhan
Yuesheng Zhu
Guibo Luo
author_facet Jiaqiyu Zhan
Yuesheng Zhu
Guibo Luo
author_sort Jiaqiyu Zhan
collection DOAJ
description Multi-view subspace clustering leverages complementary information from different views to uncover latent subspaces. However, incomplete multi-view data is prevalent, particularly in fields such as communication systems. Incomplete Multi-View Subspace Clustering (IMSC) addresses this challenge but faces two main challenges: (1) neglecting dissimilarities between views and samples, and (2) insufficient handling of cross-view consistency. To tackle these issues, we propose a novel IMSC framework, referred to as Bi-Adaptive and Cross-View Consistency (BACVC). BACVC improves incomplete data recovery and subspace structure discovery through view-adaptive tensor rank constraints, data-adaptive high-order correlations, and view-level contrastive learning. Specifically, we first apply tensor factorization with view-adaptive tensor rank approximation to enforce low-rank constraints on a stacked affinity tensor, capturing the view-specific subspace block-diagonal structure. We then introduce a data-adaptive non-uniform hypergraph-induced hyper-Laplacian regularization to model high-order correlations and guide the recovery of incomplete data. Finally, contrastive learning is applied to the soft clustering assignment of each view, ensuring cross-view structural consistency. Extensive experiments on four benchmark datasets show that BACVC outperforms eleven state-of-the-art methods, with improvements of up to 4.39%, 5.43%, and 3.95% in ACC, NMI, and purity, respectively. Experimental results demonstrate the robustness of BACVC in handling incomplete data and its effectiveness in practical applications.
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spelling doaj-art-24b1bd8e2c304776ad3fa7f400bba8852025-02-12T05:30:43ZengElsevierAlexandria Engineering Journal1110-01682025-04-01119623633BACVC: Bi-adaptive and cross-view consistency for incomplete multi-view subspace clusteringJiaqiyu Zhan0Yuesheng Zhu1Guibo Luo2School of Electronic and Computer Engineering, Shenzhen Graduate School, Peking University, Shenzhen, ChinaCorresponding author.; School of Electronic and Computer Engineering, Shenzhen Graduate School, Peking University, Shenzhen, ChinaSchool of Electronic and Computer Engineering, Shenzhen Graduate School, Peking University, Shenzhen, ChinaMulti-view subspace clustering leverages complementary information from different views to uncover latent subspaces. However, incomplete multi-view data is prevalent, particularly in fields such as communication systems. Incomplete Multi-View Subspace Clustering (IMSC) addresses this challenge but faces two main challenges: (1) neglecting dissimilarities between views and samples, and (2) insufficient handling of cross-view consistency. To tackle these issues, we propose a novel IMSC framework, referred to as Bi-Adaptive and Cross-View Consistency (BACVC). BACVC improves incomplete data recovery and subspace structure discovery through view-adaptive tensor rank constraints, data-adaptive high-order correlations, and view-level contrastive learning. Specifically, we first apply tensor factorization with view-adaptive tensor rank approximation to enforce low-rank constraints on a stacked affinity tensor, capturing the view-specific subspace block-diagonal structure. We then introduce a data-adaptive non-uniform hypergraph-induced hyper-Laplacian regularization to model high-order correlations and guide the recovery of incomplete data. Finally, contrastive learning is applied to the soft clustering assignment of each view, ensuring cross-view structural consistency. Extensive experiments on four benchmark datasets show that BACVC outperforms eleven state-of-the-art methods, with improvements of up to 4.39%, 5.43%, and 3.95% in ACC, NMI, and purity, respectively. Experimental results demonstrate the robustness of BACVC in handling incomplete data and its effectiveness in practical applications.http://www.sciencedirect.com/science/article/pii/S1110016825001164Multi-view subspace clusteringIncomplete multi-view dataHigh-order correlationTensor factorizationContrastive learning
spellingShingle Jiaqiyu Zhan
Yuesheng Zhu
Guibo Luo
BACVC: Bi-adaptive and cross-view consistency for incomplete multi-view subspace clustering
Alexandria Engineering Journal
Multi-view subspace clustering
Incomplete multi-view data
High-order correlation
Tensor factorization
Contrastive learning
title BACVC: Bi-adaptive and cross-view consistency for incomplete multi-view subspace clustering
title_full BACVC: Bi-adaptive and cross-view consistency for incomplete multi-view subspace clustering
title_fullStr BACVC: Bi-adaptive and cross-view consistency for incomplete multi-view subspace clustering
title_full_unstemmed BACVC: Bi-adaptive and cross-view consistency for incomplete multi-view subspace clustering
title_short BACVC: Bi-adaptive and cross-view consistency for incomplete multi-view subspace clustering
title_sort bacvc bi adaptive and cross view consistency for incomplete multi view subspace clustering
topic Multi-view subspace clustering
Incomplete multi-view data
High-order correlation
Tensor factorization
Contrastive learning
url http://www.sciencedirect.com/science/article/pii/S1110016825001164
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AT yueshengzhu bacvcbiadaptiveandcrossviewconsistencyforincompletemultiviewsubspaceclustering
AT guiboluo bacvcbiadaptiveandcrossviewconsistencyforincompletemultiviewsubspaceclustering