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Uncovering Community Structures with Initialized Bayesian Nonnegative Matrix Factorization

机译:用初始化的贝叶斯非负矩阵分解发现社区结构

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摘要

Uncovering community structures is important for understanding networks. Currently, several nonnegative matrix factorization algorithms have been proposed for discovering community structure in complex networks. However, these algorithms exhibit some drawbacks, such as unstable results and inefficient running times. In view of the problems, a novel approach that utilizes an initialized Bayesian nonnegative matrix factorization model for determining community membership is proposed. First, based on singular value decomposition, we obtain simple initialized matrix factorizations from approximate decompositions of the complex network’s adjacency matrix. Then, within a few iterations, the final matrix factorizations are achieved by the Bayesian nonnegative matrix factorization method with the initialized matrix factorizations. Thus, the network’s community structure can be determined by judging the classification of nodes with a final matrix factor. Experimental results show that the proposed method is highly accurate and offers competitive performance to that of the state-of-the-art methods even though it is not designed for the purpose of modularity maximization.
机译:揭示社区结构对于理解网络很重要。当前,已经提出了几种非负矩阵分解算法来发现复杂网络中的社区结构。但是,这些算法存在一些缺点,例如结果不稳定和运行时间不足。针对这些问题,提出了一种利用初始化的贝叶斯非负矩阵分解模型来确定社区成员的新方法。首先,基于奇异值分解,我们从复杂网络的邻接矩阵的近似分解中获得简单的初始化矩阵分解。然后,在几次迭代中,通过具有初始化矩阵分解的贝叶斯非负矩阵分解方法实现最终矩阵分解。因此,可以通过判断具有最终矩阵因子的节点的分类来确定网络的社区结构。实验结果表明,所提出的方法具有很高的准确性,并且即使不是出于模块化最大化的目的而设计,也能提供与最新方法相当的性能。

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