Graphical Models via Univariate Exponential Family Distributions.
Eunho Yang, Pradeep Ravikumar, Genevera I. Allen, Zhandong Liu · PubMed · 2015
exponential family distributions, such as the Poisson, negative binomial, and exponential distributions. Our key contributions include a class of M-estimators to fit these graphical model distributions; and rigorous statistical analysis showing that these M-estimators recover the true graphical model structure exactly, with high probability. We provide examples of genomic and proteomic networks learned via instances of our class of graphical models derived from Poisson and exponential distributions.