Empowering Differential Networks Using Bayesian Analysis

Abstract

Differential networks (DN) are important tools for modeling the changes in conditional dependencies between multiple samples. A Bayesian approach for estimating DNs, from the classical viewpoint, is introduced with a computationally efficient threshold selection for graphical model determination. The algorithm separately estimates the precision matrices of the DN using the Bayesian adaptive graphical lasso procedure. Synthetic experiments illustrate that the Bayesian DN performs exceptionally well in numerical accuracy and graphical structure determination in comparison to state-of-the-art methods. The proposed method is applied to South African COVID-$19$ data to investigate the change in DN structure between various phases of the pandemic.

21 pages, 5 Figures, 7 Tables

References in corpus (5)

• Wishart distributions for decomposable graphs
• A Direct Approach for Sparse Quadratic Discriminant Analysis
• Differential Network Analysis via the Lasso Penalized D-Trace Loss
• Bayesian Estimation of Gaussian Graphical Models with Predictive Covariance Selection
• A Fast Iterative Algorithm for High-dimensional Differential Network