Asynchronous and Parallel Distributed Pose Graph Optimization

© 2016 IEEE. We present Asynchronous Stochastic Parallel Pose Graph Optimization ($\textsc {ASAPP}$), the first asynchronous algorithm for distributed pose graph optimization (PGO) in multi-robot simultaneous localization and mapping. By enabling robots to optimize their local trajectory estimates w...

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Main Authors: Tian, Yulun, Koppel, Alec, Bedi, Amrit Singh, How, Jonathan P
Other Authors: Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineers (IEEE) 2021
Online Access:https://hdl.handle.net/1721.1/135250
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author Tian, Yulun
Koppel, Alec
Bedi, Amrit Singh
How, Jonathan P
author2 Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
author_facet Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Tian, Yulun
Koppel, Alec
Bedi, Amrit Singh
How, Jonathan P
author_sort Tian, Yulun
collection MIT
description © 2016 IEEE. We present Asynchronous Stochastic Parallel Pose Graph Optimization ($\textsc {ASAPP}$), the first asynchronous algorithm for distributed pose graph optimization (PGO) in multi-robot simultaneous localization and mapping. By enabling robots to optimize their local trajectory estimates without synchronization, $\textsc {ASAPP}$ offers resiliency against communication delays and alleviates the need to wait for stragglers in the network. Furthermore, $\textsc {ASAPP}$ can be applied on the rank-restricted relaxations of PGO, a crucial class of non-convex Riemannian optimization problems that underlies recent breakthroughs on globally optimal PGO. Under bounded delay, we establish the global first-order convergence of $\textsc {ASAPP}$ using a sufficiently small stepsize. The derived stepsize depends on the worst-case delay and inherent problem sparsity, and furthermore matches known result for synchronous algorithms when there is no delay. Numerical evaluations on simulated and real-world datasets demonstrate favorable performance compared to state-of-the-art synchronous approach, and show $\textsc {ASAPP}$'s resilience against a wide range of delays in practice.
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spelling mit-1721.1/1352502023-10-13T20:27:38Z Asynchronous and Parallel Distributed Pose Graph Optimization Tian, Yulun Koppel, Alec Bedi, Amrit Singh How, Jonathan P Massachusetts Institute of Technology. Department of Aeronautics and Astronautics © 2016 IEEE. We present Asynchronous Stochastic Parallel Pose Graph Optimization ($\textsc {ASAPP}$), the first asynchronous algorithm for distributed pose graph optimization (PGO) in multi-robot simultaneous localization and mapping. By enabling robots to optimize their local trajectory estimates without synchronization, $\textsc {ASAPP}$ offers resiliency against communication delays and alleviates the need to wait for stragglers in the network. Furthermore, $\textsc {ASAPP}$ can be applied on the rank-restricted relaxations of PGO, a crucial class of non-convex Riemannian optimization problems that underlies recent breakthroughs on globally optimal PGO. Under bounded delay, we establish the global first-order convergence of $\textsc {ASAPP}$ using a sufficiently small stepsize. The derived stepsize depends on the worst-case delay and inherent problem sparsity, and furthermore matches known result for synchronous algorithms when there is no delay. Numerical evaluations on simulated and real-world datasets demonstrate favorable performance compared to state-of-the-art synchronous approach, and show $\textsc {ASAPP}$'s resilience against a wide range of delays in practice. 2021-10-27T20:22:38Z 2021-10-27T20:22:38Z 2020 2021-04-30T13:59:19Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/135250 en 10.1109/LRA.2020.3010216 IEEE Robotics and Automation Letters Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) arXiv
spellingShingle Tian, Yulun
Koppel, Alec
Bedi, Amrit Singh
How, Jonathan P
Asynchronous and Parallel Distributed Pose Graph Optimization
title Asynchronous and Parallel Distributed Pose Graph Optimization
title_full Asynchronous and Parallel Distributed Pose Graph Optimization
title_fullStr Asynchronous and Parallel Distributed Pose Graph Optimization
title_full_unstemmed Asynchronous and Parallel Distributed Pose Graph Optimization
title_short Asynchronous and Parallel Distributed Pose Graph Optimization
title_sort asynchronous and parallel distributed pose graph optimization
url https://hdl.handle.net/1721.1/135250
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AT koppelalec asynchronousandparalleldistributedposegraphoptimization
AT bediamritsingh asynchronousandparalleldistributedposegraphoptimization
AT howjonathanp asynchronousandparalleldistributedposegraphoptimization