Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Publications [#340385] of David B. Dunson


Papers Published

  1. Durante, D; Dunson, DB, Bayesian inference and testing of group differences in brain networks, Bayesian Analysis, vol. 13 no. 1 (January, 2018), pp. 29-58, Institute of Mathematical Statistics [doi]
    (last updated on 2019/05/23)

    © 2018 International Society for Bayesian Analysis. Network data are increasingly collected along with other variables of interest. Our motivation is drawn from neurophysiology studies measuring brain connectivity networks for a sample of individuals along with their membership to a low or high creative reasoning group. It is of paramount importance to develop statistical methods for testing of global and local changes in the structural interconnections among brain regions across groups. We develop a general Bayesian procedure for inference and testing of group differences in the network structure, which relies on a nonparametric representation for the conditional probability mass function associated with a network-valued random variable. By leveraging a mixture of low-rank factorizations, we allow simple global and local hypothesis testing adjusting for multiplicity. An efficient Gibbs sampler is defined for posterior computation. We provide theoretical results on the flexibility of the model and assess testing performance in simulations. The approach is applied to provide novel insights on the relationships between human brain networks and creativity.
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320