Integrating additional knowledge into the estimation of graphical models.

Int J Biostat

Departments of Statistics and Biostatistics, University of Washington, Seattle, USA.

Published: March 2021

AI Article Synopsis

  • Graphical models based on brain connectomes from fMRI are essential for understanding network processes, but traditional methods often struggle with accurate graph recovery.
  • By utilizing additional information, such as the spatial positions of measurements, the authors develop a new approach that enhances the accuracy of neighborhood selection through the inclusion of pairwise distances.
  • This improved method not only offers computational efficiency and a Bayesian interpretation but also reveals significant insights into brain connectivity in Alzheimer's patients, highlighting increased connectivity in the cerebellum and the importance of different brain lobes.

Article Abstract

Graphical models such as brain connectomes derived from functional magnetic resonance imaging (fMRI) data are considered a prime gateway to understanding network-type processes. We show, however, that standard methods for graphical modeling can fail to provide accurate graph recovery even with optimal tuning and large sample sizes. We attempt to solve this problem by leveraging information that is often readily available in practice but neglected, such as the spatial positions of the measurements. This information is incorporated into the tuning parameter of neighborhood selection, for example, in the form of pairwise distances. Our approach is computationally convenient and efficient, carries a clear Bayesian interpretation, and improves standard methods in terms of statistical stability. Applied to data about Alzheimer's disease, our approach allows us to highlight the central role of lobes in the connectivity structure of the brain and to identify an increased connectivity within the cerebellum for Alzheimer's patients compared to other subjects.

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Source
http://dx.doi.org/10.1515/ijb-2020-0133DOI Listing

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