Multi-Frequency Joint Community Detection and Phase Synchronization. (arXiv:2206.12276v1 [cs.SI])

This paper studies the joint community detection and phase synchronization
problem on the \textit{stochastic block model with relative phase}, where each
node is associated with a phase. This problem, with a variety of real-world
applications, aims to recover community memberships and associated phases
simultaneously. By studying the maximum likelihood estimation formulation, we
show that this problem exhibits a \textit{``multi-frequency''} structure. To
this end, two simple yet efficient algorithms that leverage information across
multiple frequencies are proposed. The former is a …

arxiv community detection synchronization