Modeling Network Populations via Graph Distances

This article introduces a new class of models for multiple networks. The core idea is to parameterize a distribution on labeled graphs in terms of a Frechet mean graph (which depends on a user-specified choice of metric or graph distance) and a parameter that controls the concentration of this distribution about its mean. Entropy is the natural parameter for such control, varying from a point mass concentrated on the Frechet mean itself to a uniform distribution over all graphs on a given vertex set. We provide a hierarchical Bayesian approach for exploiting this construction, along with straightforward strategies for sampling from the resultant posterior distribution. We conclude by demonstrating the efficacy of our approach via simulation studies and two multiple-network data analysis examples: one drawn from systems biology and the other from neuroscience. This article has online.


Published in:
Journal Of The American Statistical Association
Year:
Sep 07 2020
Publisher:
Alexandria, AMER STATISTICAL ASSOC
ISSN:
0162-1459
1537-274X
Keywords:




 Record created 2020-09-30, last modified 2020-10-05


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