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Generalization of Clustering Coefficients to Signed Correlation Networks

机译:聚类系数到符号相关网络的推广

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摘要

The recent interest in network analysis applications in personality psychology and psychopathology has put forward new methodological challenges. Personality and psychopathology networks are typically based on correlation matrices and therefore include both positive and negative edge signs. However, some applications of network analysis disregard negative edges, such as computing clustering coefficients. In this contribution, we illustrate the importance of the distinction between positive and negative edges in networks based on correlation matrices. The clustering coefficient is generalized to signed correlation networks: three new indices are introduced that take edge signs into account, each derived from an existing and widely used formula. The performances of the new indices are illustrated and compared with the performances of the unsigned indices, both on a signed simulated network and on a signed network based on actual personality psychology data. The results show that the new indices are more resistant to sample variations in correlation networks and therefore have higher convergence compared with the unsigned indices both in simulated networks and with real data.
机译:对网络分析在人格心理学和精神病理学中的应用的最新兴趣提出了新的方法论挑战。人格和心理病理学网络通常基于相关矩阵,因此包括正和负边缘征兆。但是,网络分析的某些应用程序不考虑负边缘,例如计算聚类系数。在此贡献中,我们说明了基于相关矩阵的网络中正负边缘之间进行区分的重要性。聚类系数被推广到带符号的相关网络:引入了三个新的索引,这些索引考虑了边缘符号,每个符号都来自现有且使用广泛的公式。示出了新索引的性能,并将它们与未签名索引的性能进行了比较,无论是在已签名的模拟网络上还是在基于实际人格心理学数据的已签名网络上。结果表明,与模拟网络和真实数据中的无符号索引相比,新索引更能抵抗相关网络中的样本变化,因此具有更高的收敛性。

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