activity
20072025
most citedSpectral analysis of the Neumann-Poincaré operator and characterization of the gradient blow-up

5 citations · 17 across the 12 of their papers we have counts for

collaborators

13 papers

cs.LG2025

An explicit formulation of the learned noise predictor via the forward-process noise in denoising diffusion probabilistic models (DDPMs)

KiHyun Yun

In denoising diffusion probabilistic models (DDPMs), the learned noise predictor is trained to approximate the forward-process noise . The equality $\n…

math.AP2019

Quantitative estimates for enhancement of the field excited by an emitter due to presence of two closely located spherical inclusions

Hyeonbae Kang, KiHyun Yun

A field in a homogeneous medium can be amplified or enhanced by inserting closely located perfectly conducting inclusions into the medium. In this paper precise quantitative estima…

math.AP2018★ 1 cited

Quantitative estimates of the field excited by an emitter in a narrow region between two circular inclusions

Hyeonbae Kang, KiHyun Yun

A field excited by an emitter can be enhanced due to presence of closely located inclusions. In this paper we consider such field enhancement when inclusions are disks of the same…

math.AP2018★ 1 cited

Precise estimates of the field excited by an emitter in presence of closely located inclusions of a bow-tie shape

Hyeonbae Kang, KiHyun Yun

This paper studies in a quantitatively precise manner the field enhancement due to presence of an emitter of the dipole type near the bow-tie structure of perfectly conducting incl…

math.AP2017★ 4 cited

Optimal estimates of the field enhancement in presence of a bow-tie structure of perfectly conducting inclusions in two dimensions

Hyeonbae Kang, KiHyun Yun

This paper deals with the field enhancement, that is, the gradient blow-up, due to presence of a bow-tie structure of perfectly conducting inclusions in two dimensions. The bow-tie…

math.AP2016

Two types of electric field enhancements by infinitely many circular conductors arranged closely in two parallel line

KiHyun Yun

In this paper, we consider very high concentration of electric field in between infinitely many circular perfect conductors arranged closely in two rows. In stiff fiber-reinforced…