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

4 citations · 13 across the 11 of their papers we have counts for

collaborators

11 papers

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.OC2021

Convergence results of a nested decentralized gradient method for non-strongly convex problems

Woocheol Choi, Doheon Kim, Seok-Bae Yun

We are concerned with the convergence of NEAR-DGD (Nested Exact Alternating Recursion Distributed Gradient Descent) method introduced to solve the distributed optimization prob…

math.OC2021★ 1 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.AP2021

Entropy production estimate for the ES-BGK model with the correct Prandtl number

Doheon Kim, Myeong-Su Lee, Seok-Bae Yun

In this paper, we establish the entropy-entropy production estimate for the ES-BGK model, a generalized version of the BGK model of the Boltzmann equation introduced for better app…

math.OC2020★ 2 cited

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.AP2020★ 3 cited

Stationary BGK models for chemically reacting gas in a slab

Doheon Kim, Myeong-Su Lee, Seok-Bae Yun

We study the boundary value problem of two stationary BGK-type models - the BGK model for fast chemical reaction and the BGK model for slow chemical reaction - and provide a unifie…