A Signal-Strategy-Based Spectral Clustering Method for Community Detection in Complex Networks

Yutong Cui, Q. Niu, Zhixiao Wang, Changjiang Du
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Abstract

The community detection has been one of the core subjects in complex networks. Spectral clustering is an efficient method widely used in this field. In spectral clustering, the Laplacian matrix should be built with similarity matrix, however, similarity matrix is often been replaced by adjacency matrix because few appropriate ways could be used to measure the node similarity in a complex network. As the solution, an appropriate measure of similarity should be proposed to build Laplacian matrix. Signal strategy has been proved to be an efficient method reflecting the relationships between nodes in complex network, and the relationship could be considered as a reasonable scale. This paper presents a semi-supervised spectral approach for community detection, the proposed method uses signal strategy to generate the Laplacian matrix, and utilizes prior knowledge to further guarantee the detection performance. Experiments results showed that the proposed method gave excellent performance on real world network and Lancichinetti-Fortunato-Radicchi (LFR) benchmark, with comparison of other spectral and non-spectral community detection methods.
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一种基于信号策略的复杂网络社区检测频谱聚类方法
社区检测一直是复杂网络研究的核心课题之一。光谱聚类是该领域广泛应用的一种有效方法。在谱聚类中,拉普拉斯矩阵应该用相似矩阵来构建,但在复杂网络中,由于没有合适的方法来度量节点的相似度,相似矩阵往往被邻接矩阵所取代。为解决这一问题,应提出适当的相似性度量来构建拉普拉斯矩阵。信号策略已被证明是反映复杂网络中节点之间关系的有效方法,这种关系可以被认为是一个合理的尺度。本文提出了一种半监督谱方法用于社团检测,该方法利用信号策略生成拉普拉斯矩阵,并利用先验知识进一步保证检测性能。实验结果表明,该方法在真实网络和LFR (Lancichinetti-Fortunato-Radicchi)基准测试中具有优异的性能,并与其他光谱和非光谱社区检测方法进行了比较。
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