Empowering differential networks using Bayesian analysis

• Published in: PloS one Vol. 17; no. 1; p. e0261193
• Main Authors: Smith, Jarod, Arashi, Mohammad, Bekker, Andriëtte
• Format: Journal Article
• Language: English
• Published: United States Public Library of Science 25-01-2022; Public Library of Science (PLoS)
• Subjects: Algorithms; Bayes Theorem; Bayesian analysis; Bayesian statistical decision theory; Computer and Information Sciences; COVID-19; COVID-19 - epidemiology; Data Interpretation, Statistical; Discriminant analysis; Epidemics; Humans; Medicine and Health Sciences; Methods; Normal distribution; Pandemics; Physical Sciences; Research and Analysis Methods; South Africa; Sparsity; Statistical methods; Statistics; South Africa; Pretoria South Africa
• ISSN: 1932-6203; 1932-6203
• DOI: 10.1371/journal.pone.0261193

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.