activity
20152026
most citedOn mean curvature flow with forcing

13 citations · 36 across the 14 of their papers we have counts for

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Showing 2021Show all

5 papers · 1 filter

cs.LG2021★ 2 cited

Training Wasserstein GANs without gradient penalties

Dohyun Kwon, Yeoneung Kim, Guido Montúfar +1

We propose a stable method to train Wasserstein generative adversarial networks. In order to enhance stability, we consider two objective functions using the -transform based on…

math.AP2021

Level-set forced mean curvature flow with the Neumann boundary condition

Jiwoong Jang, Dohyun Kwon, Hiroyoshi Mitake +1

Here, we study a level-set forced mean curvature flow with the homogeneous Neumann boundary condition. We first show that the solution is Lipschitz in time and locally Lipschitz in…

math.DS2021

Multi-agent system for target tracking on a sphere and its asymptotic behavior

Sun-Ho Choi, Dohyun Kwon, Hyowon Seo

We propose a second-order multi-agent system for target tracking on a sphere. The model contains a centripetal force, a bonding force, a velocity alignment operator to the target,…

math.DS2021★ 5 cited

Flocking formation and stabilizer of boosted cooperative control on a sphere

Sun-Ho Choi, Dohyun Kwon, Hyowon Seo

The purpose of this paper is to consider flocking formations of a second order dynamic system on a sphere with a Cucker-Smale type flocking operator and cooperative control. The fl…

math.DS2021★ 4 cited

Uniform position alignment estimate of spherical flocking model with inter-particle bonding forces

Sun-Ho Choi, Dohyun Kwon, Hyowon Seo

We present a sufficient condition of the complete position flocking theorem for the Cucker-Smale type model on the unit sphere with an inter-particle bonding force. For this second…