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arXiv:2403.18393v1 Announce Type: new
Abstract: Graph learning is widely recognized as a crucial technique in multi-view clustering. Existing graph learning methods typically involve constructing an adaptive neighbor graph based on probabilistic neighbors and then learning a consensus graph to for clustering, however, they are confronted with two 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 many real-world scenarios. Secondly, most of these methods focus solely on consensus graph, ignoring view-specific graph information. In response to the aforementioned drawbacks, we in this paper propose a novel tensor-based graph learning framework that simultaneously considers consistency and specificity for multi-view clustering. Specifically, we calculate the similarity distance on the Stiefel manifold to preserve the intrinsic structure among data points. By making an assumption that the learned neighbor graph of each view comprises both a consistent graph and a view-specific graph, we formulate a new tensor-based target graph learning paradigm. Owing to the benefits of tensor singular value decomposition (t-SVD) in uncovering high-order correlations, this model is capable of achieving a complete understanding of the target graph. Furthermore, we develop an iterative algorithm to solve the proposed objective optimization problem. Experiments conducted on real-world datasets have demonstrated the superior performance of the proposed method over some state-of-the-art multi-view clustering methods. The source code has been released on https://github.com/lshi91/CSTGL-Code.