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math.OC2024
Exploiting Agent Symmetries for Performance Analysis of Distributed Optimization Methods
Sebastien Colla, Julien M. Hendrickx
We show that, in many settings, the worst-case performance of a distributed optimization algorithm is independent of the number of agents in the system, and can thus be computed in…
math.OC2024
On the Optimal Communication Weights in Distributed Optimization Algorithms
Sebastien Colla, Julien M. Hendrickx
We establish that in distributed optimization, the prevalent strategy of minimizing the second-largest eigenvalue modulus (SLEM) of the averaging matrix for selecting communication…