Title
A Partition-Based Implementation Of The Relaxed Admm For Distributed Convex Optimization Over Lossy Networks
Abstract
In this paper we propose a distributed implementation of the relaxed Alternating Direction Method of Multipliers algorithm (R-ADMM) for optimization of a separable convex cost function, whose terms are stored by a set of interacting agents, one for each agent. Specifically the local cost stored by each node is in general a function of both the state of the node and the states of its neighbors, a framework that we refer to as 'partition-based' optimization. This framework presents a great flexibility and can be adapted to a large number of different applications. By recasting the problem into an operator theoretical framework, the proposed algorithm is shown to be provably robust against random packet losses that might occur in the communication between neighboring nodes. Finally, the effectiveness of the proposed algorithm is confirmed by a set of compelling numerical simulations run over random geometric graphs subject to i.i.d. random packet losses.
Year
DOI
Venue
2018
10.1109/CDC.2018.8619729
2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC)
Keywords
Field
DocType
distributed optimization, partition-based optimization, ADMM, operator theory, splitting methods, Peaceman-Rachford operator
Mathematical optimization,Lossy compression,Network packet,Separable space,Regular polygon,Operator (computer programming),Partition (number theory),Operator theory,Convex optimization,Mathematics
Conference
ISSN
Citations 
PageRank 
0743-1546
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
N. Bastianello100.68
Ruggero Carli289469.17
L. Schenato383972.18
Marco Todescato4276.63