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20182021
most citedConvergence of a first-order consensus-based global optimization algorithm

4 citations · 7 across the 5 of their papers we have counts for

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math.OC2021

A unified framework for distributed optimization algorithms over time-varying directed graphs

Woocheol Choi, Doheon Kim, Seok-Bae Yun

In this paper, we propose a framework under which the decentralized optimization algorithms suggested in \cite{JKJJ,MA, NO,NO2} can be treated in a unified manner. More precisely,…

math.OC20211 cited

Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises

Dongnam Ko, Seung-Yeal Ha, Shi Jin +1

We present stochastic consensus and convergence of the discrete consensus-based optimization (CBO) algorithm with random batch interactions and heterogeneous external noises. Despi…

math.OC2020

Convergence and error estimates for time-discrete consensus-based optimization algorithms

Seug-Yeal Ha, Shi Jin, Doheon Kim

We present convergence and error estimates of the time-discrete consensus-based optimization(CBO) algorithms proposed in [arXiv:1909.09249] for general nonconvex functions. In auth…

math.OC20191 cited

On the stochastic flocking of the Cucker-Smale flock with randomly switching topologies

Jiu-Gang Dong, Seung-Yeal Ha, Jinwook Jung +1

We present an emergent stochastic flocking dynamics of the Cucker-Smale (CS) ensemble under randomly switching topologies. The evolution of the CS ensemble with randomly switching…

math.OC20194 cited

Convergence of a first-order consensus-based global optimization algorithm

Seung-Yeal Ha, Shi Jin, Doheon Kim

Global optimization of a non-convex objective function often appears in large-scale machine-learning and artificial intelligence applications. Recently, consensus-based optimizatio…