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Abstract:
Multi-view clustering, which aims to discover the complex correlations among multiple views and to partition multi-view instances, is an important issue in both the data mining and machine learning areas. It has received great interest over the past decades, and a large number of effective multi-view clustering methods have been proposed, inspired by classical low rank theory. However, in most existing methods, sample data are always vectorized as a column in linear space. This conventional approach may lose its efficacy for some complex data, such as video or imageset. This is because these data are often treated as samples on a nonlinear manifold. Besides, traditional low rank based clustering methods always adopt a uniform representation matrix constrained by a single nuclear norm. These methods could potentially reduce clustering accuracy, as they may result in suboptimal solutions. In this paper, we propose a new multi-view clustering method based on Multi Low Rank Representation and Heterogeneous Manifolds. In the proposed method, multi-view data are constructed as sample data on Heterogeneous Manifolds. Meanwhile, we extend the bilinear low rank representation on tensors and propose a tensor-based multi-linear low rank representation to achieve better clustering results. Experiments on four public benchmark datasets show that our method achieves superior clustering performance. © 2024 Technical Committee on Control Theory, Chinese Association of Automation.
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ISSN: 1934-1768
Year: 2024
Page: 8057-8062
Language: English
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ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 9
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