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Asynchronous ADMM via a data exchange server

Abstract:
With advances in inter-processing-unit communication technology, distributed algorithms are becoming increasingly advantageous. This paper focuses on solving convex distributed optimisation problems with local consensus coupling constraints via the alternating direction method of multipliers (ADMM), by means of an asynchronous methodology allowing for communication delays. We use a bipartite undirected graph to denote the update structure of the processing agents that cooperatively perform the distributed algorithm without a centralised aggregator. We introduce a data server to exchange the asynchronous consensus data among the processing agents. Under certain technical assumptions that involve bounded delays, bounded step sizes, and strong convexities in parts of the local objectives, the running average of the local iterates generated by the proposed asynchronous algorithm converge to an optimal solution.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1109/TCNS.2024.3354840

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Oxford college:
St John's College
Role:
Author
ORCID:
0000-0003-2189-7876


Publisher:
IEEE
Journal:
IEEE Transactions on Control of Network Systems More from this journal
Volume:
11
Issue:
3
Article number:
1631 - 1643
Publication date:
2024-01-16
Acceptance date:
2024-01-06
DOI:
EISSN:
2325-5870


Language:
English
Keywords:
Pubs id:
1595518
Local pid:
pubs:1595518
Deposit date:
2024-01-06

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