Title
Distributed Riemannian Optimization with Lazy Communication for Collaborative Geometric Estimation.
Abstract
We present the first distributed optimization algorithm with lazy communication for collaborative geometric estimation, the backbone of modern collaborative simultaneous localization and mapping (SLAM) and structure-from-motion (SfM) applications. Our method allows agents to cooperatively reconstruct a shared geometric model on a central server by fusing individual observations, but without the need to transmit potentially sensitive information about the agents themselves (such as their locations). Furthermore, to alleviate the burden of communication during iterative optimization, we design a set of communication triggering conditions that enable agents to selectively upload a targeted subset of local information that is useful to global optimization. Our approach thus achieves significant communication reduction with minimal impact on optimization performance. As our main theoretical contribution, we prove that our method converges to first-order critical points with a global sublinear convergence rate. Numerical evaluations on bundle adjustment problems from collaborative SLAM and SfM datasets show that our method performs competitively against existing distributed techniques, while achieving up to 78% total communication reduction.
Year
DOI
Venue
2022
10.1109/IROS47612.2022.9981256
IEEE/RJS International Conference on Intelligent RObots and Systems (IROS)
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
Yulun Tian1112.22
Amrit Singh Bedi2169.43
Alec Koppel39921.66
Miguel Calvo-Fullana4135.70
David M. Rosen500.68
Jonathan How61759185.09