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Torus graphs for multivariate phase coupling analysis
2020
Annals of Applied Statistics
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
doi:10.1214/19-aoas1300
pmid:36605359
pmcid:PMC9812283
fatcat:m6wgyiktm5h7fjihhukkverq3a