NS-RGS: Newton-Schulz based Riemannian gradient method for orthogonal group synchronization
Group synchronization is a fundamental task involving the recovery of group elements from pairwise measurements. For orthogonal group synchronization, the most common approach reformulates the problem as a constrained nonconvex optimization and solves it using projection-based methods, such as the generalized power method. However, these methods rely on exact SVD or QR decompositions in each iteration, which are computationally expensive and become a bottleneck for large-scale problems. In this paper, we propose a Newton-Schulz-based Riemannian Gradient Scheme (NS-RGS) for orthogonal group synchronization that significantly reduces computational cost by replacing the SVD or QR step with t...
| Authors | Haiyang Peng, Deren Han, Xin Chen et al. |
|---|---|
| Primary category | stat.ML |
| Published | 7 April 2026 |
| Last updated at source | 7 April 2026 |
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