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文章基本信息

  • 标题:On the estimation of latent distances using graph distances
  • 本地全文:下载
  • 作者:Ery Arias-Castro ; Antoine Channarond ; Bruno Pelletier
  • 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:722-747
  • DOI:10.1214/21-EJS1801
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要:We are given the adjacency matrix of a geometric graph and the task of recovering the latent positions. We study one of the most popular approaches which consists in using the graph distances and derive error bounds under various assumptions on the link function. In the simplest case where the link function is proportional to an indicator function, the bound matches an information lower bound that we derive.
  • 关键词:Latent positions;multidimensional scaling;graph embedding;graph distances;random geometric graphs
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