A Unified Approach to Synchronization Problems over Subgroups of the Orthogonal Group. (arXiv:2009.07514v2 [math.OC] UPDATED)

The problem of synchronization over a group $\mathcal{G}$ aims to estimate a
collection of group elements $G^*_1, \dots, G^*_n \in \mathcal{G}$ based on
noisy observations of a subset of all pairwise ratios of the form $G^*_i
{G^*_j}^{-1}$. Such a problem has gained much attention recently and finds many
applications across a wide range of scientific and engineering areas. In this
paper, we consider the class of synchronization problems in which the group is
a closed subgroup of the orthogonal group. …

arxiv math subgroups synchronization