Convergence of the Min-Sum Algorithm for Convex Optimization
Ciamac C. Moallemi, Benjamin Van Roy
TL;DR
This paper proves that the min-sum message-passing algorithm converges for a broad class of unconstrained convex optimization problems, including asynchronous variants, providing theoretical guarantees for its effectiveness.
Contribution
It establishes convergence results for the min-sum algorithm in convex optimization, extending understanding to asynchronous implementations.
Findings
Proves convergence of min-sum algorithm for convex problems
Includes asynchronous variants in the convergence analysis
Provides theoretical guarantees for message-passing methods
Abstract
We establish that the min-sum message-passing algorithm and its asynchronous variants converge for a large class of unconstrained convex optimization problems.
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Taxonomy
TopicsError Correcting Code Techniques · Cooperative Communication and Network Coding · Wireless Communication Security Techniques