English

Graph selection with GGMselect

Statistics Theory 2012-02-17 v2 Statistics Theory

Abstract

Applications on inference of biological networks have raised a strong interest in the problem of graph estimation in high-dimensional Gaussian graphical models. To handle this problem, we propose a two-stage procedure which first builds a family of candidate graphs from the data, and then selects one graph among this family according to a dedicated criterion. This estimation procedure is shown to be consistent in a high-dimensional setting, and its risk is controlled by a non-asymptotic oracle-like inequality. The procedure is tested on a real data set concerning gene expression data, and its performances are assessed on the basis of a large numerical study. The procedure is implemented in the R-package GGMselect available on the CRAN.

Keywords

Cite

@article{arxiv.0907.0619,
  title  = {Graph selection with GGMselect},
  author = {Christophe Giraud and Sylvie Huet and Nicolas Verzelen},
  journal= {arXiv preprint arXiv:0907.0619},
  year   = {2012}
}

Comments

44 pages

R2 v1 2026-06-21T13:21:05.847Z