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Tensor-Based Graph Learning With Consistency and Specificity for Multi-View Clustering

delete2025-12-03
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PRE
AI
施龙 cover
施龙 (Long Shi)
Y
Yunshan Ye
L
Lei Cao
赵宇 (Yu Zhao)
B
Badong Chen
DOI:10.1109/TMM.2025.3639979delete
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Abstract

Abstract

En 中文
In the context of multi-view clustering, graph learning is recognized as a crucial technique, which generally involves constructing an adaptive neighbor graph based on probabilistic neighbors, and then learning a consensus graph for clustering. However, it is worth noting that these graph learning methods encounter two significant limitations. Firstly, they often rely on Euclidean distance to measure similarity when constructing the adaptive neighbor graph, which proves inadequate in capturing the intrinsic structure among data points in practice, particularly for high-dimensional data. Secondly, most of these methods focus solely on consensus graph, ignoring unique information from each view. Although a few graph-based studies have considered using specific information as well, the modelling approach employed does not exclude the noise impact from the common or specific components. To this end, we propose a novel tensor-based multi-view graph learning framework that simultaneously considers consistency and specificity, while effectively eliminating the influence of noise. Specifically, we calculate similarity using pseudo-Stiefel manifold distance to preserve the intrinsic properties of data. By making an assumption that the learned neighbor graph of each view comprises a consistent part, a specific part, and a noise part, we formulate a new tensor-based target graph learning paradigm for noise-free graph fusion. Owing to the benefits of tensor singular value decomposition (t-SVD) in uncovering high-order correlations, this model is capable of achieving a comprehensive understanding of the target graph. Furthermore, we derive an algorithm to address the optimization problem. Experiments on six datasets have demonstrated the superiority of our method.
Keywords:
Consistency
multi-view clustering
tensor-based graph learning
Stiefel manifold
specificity

Journal

IEEE Transactions on Multimedia cover
IEEE Transactions on Multimedia
IF:
9.7
Papers:
4.5K
Citations:
2.4W

Organization

S
southwestern university of finance and economics
Scholars:
600
Papers: 356
Citations: 0
X
xi'an jiaotong university
Scholars:
9.2W
Papers: 6.6W
Citations: 75