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math.OC2023
On the convergence analysis of the decentralized projected gradient descent method
Woocheol Choi, Jimyeong Kim
In this work, we are concerned with the decentralized optimization problem: \begin{equation*} \min_{x \in Ω}~f(x) = \frac{1}{n} \sum_{i=1}^n f_i (x), \end{equation*} where $Ω\subse…
math.OC2022★ 1 cited
On the convergence of decentralized gradient descent with diminishing stepsize, revisited
Woocheol Choi, Jimyeong Kim
Distributed optimization has received a lot of interest in recent years due to its wide applications in various fields. In this work, we revisit the convergence property of the dec…
math.OC2021
Gradient-push algorithm for distributed optimization with event-triggered communications
Jimyeong Kim, Woocheol Choi
Decentralized optimization problems consist of multiple agents connected by a network. The agents have each local cost function, and the goal is to minimize the sum of the function…