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  • 标题:Nearly assumptionless screening for the mutually-exciting multivariate Hawkes process
  • 本地全文:下载
  • 作者:Shizhe Chen ; Daniela Witten ; Ali Shojaie
  • 期刊名称:Electronic Journal of Statistics
  • 印刷版ISSN:1935-7524
  • 出版年度:2017
  • 卷号:11
  • 期号:1
  • 页码:1207-1234
  • DOI:10.1214/17-EJS1251
  • 语种:English
  • 出版社:Institute of Mathematical Statistics
  • 摘要:We consider the task of learning the structure of the graph underlying a mutually-exciting multivariate Hawkes process in the high-dimensional setting. We propose a simple and computationally inexpensive edge screening approach. Under a subset of the assumptions required for penalized estimation approaches to recover the graph, this edge screening approach has the sure screening property: with high probability, the screened edge set is a superset of the true edge set. Furthermore, the screened edge set is relatively small. We illustrate the performance of this new edge screening approach in simulation studies.
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