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2015 ; 110
(509
): 159-174
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Bayesian Inference of Multiple Gaussian Graphical Models
#MMPMID26078481
Peterson CB
; Stingo FC
; Vannucci M
J Am Stat Assoc
2015[Mar]; 110
(509
): 159-174
PMID26078481
show ga
In this paper, we propose a Bayesian approach to inference on multiple Gaussian
graphical models. Specifically, we address the problem of inferring multiple
undirected networks in situations where some of the networks may be unrelated,
while others share common features. We link the estimation of the graph
structures via a Markov random field (MRF) prior which encourages common edges.
We learn which sample groups have a shared graph structure by placing a
spike-and-slab prior on the parameters that measure network relatedness. This
approach allows us to share information between sample groups, when appropriate,
as well as to obtain a measure of relative network similarity across groups. Our
modeling framework incorporates relevant prior knowledge through an edge-specific
informative prior and can encourage similarity to an established network. Through
simulations, we demonstrate the utility of our method in summarizing relative
network similarity and compare its performance against related methods. We find
improved accuracy of network estimation, particularly when the sample sizes
within each subgroup are moderate. We also illustrate the application of our
model to infer protein networks for various cancer subtypes and under different
experimental conditions.