Bastianello, Nicola (2018) Distributed Convex Optimisation using the Alternating Direction Method of Multipliers (ADMM) in Lossy Scenarios. [Magistrali biennali]
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The Alternating Direction Method of Multipliers (ADMM) is an extensively studied algorithm suitable for solving convex distributed optimisation problems. This Thesis presents a formulation of the ADMM that is guaranteed to converge if the communications among agents are faulty and the agents perform updates asynchronously. With strongly convex costs, the proposed algorithm is shown to converge exponentially fast. The further extension to partition-based problems is presented.
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