A weighted multi-view clustering via sparse graph learning

Jie Zhou, Runxin Zhang
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Abstract

Multi-view clustering considers the diversity of different views and fuses these views to produce a more accurate and robust partition than single-view clustering. It is a key problem of multi-view clustering research to allocate each view reasonably based on its contribution value. In this paper, we propose a weighted multi-view clustering model via sparse graph learning to cope with allocation of different views. The proposed idea is to assign different view weights instead of equal view weights to learn a high-quality shared similarity matrix for multi-view clustering. In our new proposed method, it can consider the clustering capacity heterogeneity of different views in fusion by assigning a weight for each view so that each view special feature are fully excavated, and improve the performance of multi-view clustering. Moreover, our proposed method can directly obtained cluster indicators by imposing low rank constraints without any post-processing operations. In addition, our model is proposed based on sparse graph, so that the outliers and noise in each view data are well handled and the robustness of the algorithm is effectively guaranteed. Finally, numerous experimental results are conducted on different sizes benchmark datasets, and show that the performance of our algorithm is quite satisfactory. The code of our proposed method is publicly available at https://github.com/zhoujie05/A-weighted-multi-view-clustering-via-sparse-graph-learning.

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通过稀疏图学习进行加权多视角聚类
多视图聚类考虑了不同视图的多样性,并将这些视图融合在一起,从而产生比单视图聚类更准确、更稳健的分区。如何根据每个视图的贡献值对其进行合理分配,是多视图聚类研究的一个关键问题。本文提出了一种通过稀疏图学习的加权多视图聚类模型,以应对不同视图的分配问题。我们提出的想法是分配不同的视图权重而不是相等的视图权重,以学习高质量的共享相似性矩阵来进行多视图聚类。在我们提出的新方法中,通过为每个视图分配一个权重,可以考虑融合中不同视图的聚类能力异质性,从而充分挖掘每个视图的特殊特征,提高多视图聚类的性能。此外,我们提出的方法可以通过施加低等级约束直接获得聚类指标,无需任何后处理操作。此外,我们还提出了基于稀疏图的模型,从而很好地处理了各视图数据中的异常值和噪声,有效保证了算法的鲁棒性。最后,我们在不同规模的基准数据集上进行了大量实验,结果表明我们的算法性能相当令人满意。我们提出的方法的代码可在 https://github.com/zhoujie05/A-weighted-multi-view-clustering-via-sparse-graph-learning 上公开获取。
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