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Distributed forward-backward methods for ring networks
by
Aragón-Artacho, Francisco J
, Malitsky, Yura
, Tam, Matthew K
, Torregrosa-Belén, David
in
Algorithms
/ Mathematics
2023
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Distributed forward-backward methods for ring networks
by
Aragón-Artacho, Francisco J
, Malitsky, Yura
, Tam, Matthew K
, Torregrosa-Belén, David
in
Algorithms
/ Mathematics
2023
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Journal Article
Distributed forward-backward methods for ring networks
2023
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Overview
In this work, we propose and analyse forward-backward-type algorithms for finding a zero of the sum of finitely many monotone operators, which are not based on reduction to a two operator inclusion in the product space. Each iteration of the studied algorithms requires one resolvent evaluation per set-valued operator, one forward evaluation per cocoercive operator, and two forward evaluations per monotone operator. Unlike existing methods, the structure of the proposed algorithms are suitable for distributed, decentralised implementation in ring networks without needing global summation to enforce consensus between nodes.
Publisher
Springer Nature B.V
Subject
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