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  • 标题:Sparse networks with core-periphery structure
  • 本地全文:下载
  • 作者:Cian Naik ; François Caron ; Judith Rousseau
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2021
  • 卷号:15
  • 期号:1
  • 页码:1814-1868
  • DOI:10.1214/21-EJS1819
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要:We propose a statistical model for graphs with a core-periphery structure. We give a precise notion of what it means for a graph to have this structure, based on the sparsity properties of the subgraphs of core and periphery nodes. We present a class of sparse graphs with such properties, and provide methods to simulate from this class, and to perform posterior inference. We demonstrate that our model can detect core-periphery structure in simulated and real-world networks.
  • 关键词:05C80; 60G55; 62F15; Bayesian nonparametrics; completely random measures; networks; Point processes; Poisson random measures; Random graphs; Sparsity
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