3 papers
stat.ME2026
Nonparametric undirected graphical model selection using diffusion models
Hyeok Kyu Kwon, Myeonggu Kang, Minwoo Chae +1
Undirected graphical models provide a fundamental framework for representing conditional independence structures among high-dimensional random variables. While undirected graphical…
math.ST2025
Nonparametric estimation of a factorizable density using diffusion models
Hyeok Kyu Kwon, Dongha Kim, Ilsang Ohn +1
In recent years, diffusion models, and more generally score-based deep generative models, have achieved remarkable success in various applications, including image and audio genera…
math.ST2023
Minimax optimal density estimation using a shallow generative model with a one-dimensional latent variable
Hyeok Kyu Kwon, Minwoo Chae
A deep generative model yields an implicit estimator for the unknown distribution or density function of the observation. This paper investigates some statistical properties of the…