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arXiv 2503.02449cs.LG
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面向不完整多视图聚类的联合张量与视图间低秩恢复

Joint Tensor and Inter-View Low-Rank Recovery for Incomplete Multiview Clustering

Northwestern Polytechnical University(西北工业大学);University of Toulouse(图卢兹大学);CNRS(法国国家科学研究中心)

Jianyu Wang, Zhengqiao Zhao, Nicolas Dobigeon, Jingdong Chen

AI总结:

针对不完整多视图聚类中仅利用低管秩信息而忽略视图间相关性的问题,提出联合张量与视图间低秩恢复方法,通过整合视图内和视图间低秩信息优化相似图张量,显著提升了聚类精度与鲁棒性。

摘要:

不完整多视图聚类(IMVC)因其在处理现实多视图聚类应用中各视图缺失样本挑战方面的有效性而受到广泛关注。大多数IMVC方法通过从可用视图学习一致性表示,或利用潜在流形结构重构缺失样本来解决此问题。然而,先前研究对学习到的相似图张量的重构仅利用了低管秩信息,忽略了对视图间相关性的探索。本文提出了一种新颖的联合张量与视图间低秩恢复(JTIV-LRR)方法,将IMVC构建为一个整合不完整相似图学习与张量表示恢复的联合优化问题。通过利用视图内和视图间的低秩信息,该方法通过去除稀疏噪声和沿不同模式的低管秩约束,实现了对完整相似图张量的稳健估计。在合成和真实数据集上的大量实验证明了所提方法的优越性,与最先进的方法相比,在聚类精度和鲁棒性上取得了显著提升。

英文摘要:

Incomplete multiview clustering (IMVC) has gained significant attention for its effectiveness in handling missing sample challenges across various views in real-world multiview clustering applications. Most IMVC approaches tackle this problem by either learning consensus representations from available views or reconstructing missing samples using the underlying manifold structure. However, the reconstruction of learned similarity graph tensor in prior studies only exploits the low-tubal-rank information, neglecting the exploration of inter-view correlations. This paper propose a novel joint tensor and inter-view low-rank Recovery (JTIV-LRR), framing IMVC as a joint optimization problem that integrates incomplete similarity graph learning and tensor representation recovery. By leveraging both intra-view and inter-view low rank information, the method achieves robust estimation of the complete similarity graph tensor through sparse noise removal and low-tubal-rank constraints along different modes. Extensive experiments on both synthetic and real-world datasets demonstrate the superiority of the proposed approach, achieving significant improvements in clustering accuracy and robustness compared to state-of-the-art methods.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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