Adjacency matrix comparison for stochastic block models

IF 0.9 4区 数学 Q4 PHYSICS, MATHEMATICAL
Guangren Yang, Songshan Yang, Wang Zhou
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引用次数: 0

Abstract

In this paper, we study whether two networks arising from two stochastic block models have the same connection structures by comparing their adjacency matrices. We conduct Monte Carlo simulations study to examine the finite sample performance of the proposed method. A real data example is used to illustrate the proposed methodology.
随机块模型的邻接矩阵比较
本文通过比较两个随机块模型产生的两个网络的邻接矩阵,研究了它们是否具有相同的连接结构。我们进行了蒙特卡罗模拟研究,以检验所提出方法的有限样本性能。最后用一个实际的数据实例来说明所提出的方法。
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来源期刊
Random Matrices-Theory and Applications
Random Matrices-Theory and Applications Decision Sciences-Statistics, Probability and Uncertainty
CiteScore
1.90
自引率
11.10%
发文量
29
期刊介绍: Random Matrix Theory (RMT) has a long and rich history and has, especially in recent years, shown to have important applications in many diverse areas of mathematics, science, and engineering. The scope of RMT and its applications include the areas of classical analysis, probability theory, statistical analysis of big data, as well as connections to graph theory, number theory, representation theory, and many areas of mathematical physics. Applications of Random Matrix Theory continue to present themselves and new applications are welcome in this journal. Some examples are orthogonal polynomial theory, free probability, integrable systems, growth models, wireless communications, signal processing, numerical computing, complex networks, economics, statistical mechanics, and quantum theory. Special issues devoted to single topic of current interest will also be considered and published in this journal.
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