Skip to yearly menu bar Skip to main content


Poster

Multi-Frequency Phase Synchronization

Tingran Gao · Zhizhen Zhao

Pacific Ballroom #143

Keywords: [ Information Theory and Estimation ] [ Matrix Factorization ] [ Non-convex Optimization ]


Abstract:

We propose a novel formulation for phase synchronization---the statistical problem of jointly estimating alignment angles from noisy pairwise comparisons---as a nonconvex optimization problem that enforces consistency among the pairwise comparisons in multiple frequency channels. Inspired by harmonic retrieval in signal processing, we develop a simple yet efficient two-stage algorithm that leverages the multi-frequency information. We demonstrate in theory and practice that the proposed algorithm significantly outperforms state-of-the-art phase synchronization algorithms, at a mild computational costs incurred by using the extra frequency channels. We also extend our algorithmic framework to general synchronization problems over compact Lie groups.

Live content is unavailable. Log in and register to view live content