7 citations · 18 across the 8 of their papers we have counts for
10 papers
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…
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,…
Asymptotic profile of solutions to the heat equation on thin plate with boundary heating
Eun-ho Lee, Woocheol Choi
In this section, we consider the heat equation on a plate with thickness h > 0 being heated by a heat source on upper and lower faces of the plate. We obtain an asymptotic profile…
Semi-classical limit of quantum free energy minimizers for the gravitational Hartree equation
Woocheol Choi, Younghun Hong, Jinmyoung Seok
For the gravitational Vlasov-Poisson equation, Guo and Rein constructed a class of classical isotropic states as minimizers of free energies (or energy-Casimir functionals) under m…
A sharp error analysis for the discontinuous Galerkin method of optimal control problems
Woocheol Choi, Young-Pil Choi
In this paper, we are concerned with a nonlinear optimal control problem of ordinary differential equations. We consider a discretization of the problem with the discontinuous Gale…
Asymptotic behavior of least energy solutions to the Lane-Emden system near the critical hyperbola
Woocheol Choi, Seunghyeok Kim
The Lane-Emden system is written as \begin{equation*} \begin{cases} -Δu = v^p &\text{in } Ω,\\ -Δv = u^q &\text{in } Ω,\\ u, v > 0 &\text{in } Ω,\\ u = v = 0 &\text{on } \partial Ω…