4 papers
A Linear Convergence Result for the Jacobi-Proximal Alternating Direction Method of Multipliers
Hyelin Choi, Woocheol Choi
In this paper, we analyze the convergence rate of the Jacobi-Proximal Alternating Direction Method of Multipliers (ADMM) initially introduced by Deng et al. for the block-structure…
Adaptive Consensus with Exponential Decay
Woocheol Choi, Piljae Jang
This paper addresses the adaptive consensus problem in uncertain multi-agent systems, particularly under challenges posed by quantized communication. We consider agents with genera…
Convergence result for the gradient-push algorithm and its application to boost up the Push-DIging algorithm
Hyogi Choi, Woocheol Choi, Gwangil Kim
The gradient-push algorithm is a fundamental algorithm for the distributed optimization problem \begin{equation} \min_{x \in \mathbb{R}^d} f(x) = \sum_{j=1}^n f_j (x), \end{equatio…
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\sub…