3 research outputs found
Joint Community Detection and Rotational Synchronization via Semidefinite Programming
In the presence of heterogeneous data, where randomly rotated objects fall
into multiple underlying categories, it is challenging to simultaneously
classify them into clusters and synchronize them based on pairwise relations.
This gives rise to the joint problem of community detection and
synchronization. We propose a series of semidefinite relaxations, and prove
their exact recovery when extending the celebrated stochastic block model to
this new setting where both rotations and cluster identities are to be
determined. Numerical experiments demonstrate the efficacy of our proposed
algorithms and confirm our theoretical result which indicates a sharp phase
transition for exact recovery