TORUS GRAPHS FOR MULTIVARIATE PHASE COUPLING ANALYSIS.

ABSTRACT: Angular measurements are often modeled as circular random variables, where there are natural circular analogues of moments, including correlation. Because a product of circles is a torus, a d-dimensional vector of circular random variables lies on a d-dimensional torus. For such vectors we present here a class of graphical models, which we call torus graphs, based on the full exponential family with pairwise interactions. The topological distinction between a torus and Euclidean space has several important consequences. Our development was motivated by the problem of identifying phase coupling among oscillatory signals recorded from multiple electrodes in the brain: oscillatory phases across electrodes might tend to advance or recede together, indicating coordination a

SUBMITTER: Klein N 

PROVIDER: S-EPMC9812283 | biostudies-literature | 2020 Jun

REPOSITORIES: biostudies-literature