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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★ 1 cited
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…
math.ST2022★ 5 cited
Rates of convergence for nonparametric estimation of singular distributions using generative adversarial networks
Jeyong Lee, Hyeok Kyu Kwon, Minwoo Chae
It is common in nonparametric estimation problems to impose a certain low-dimensional structure on the unknown parameter to avoid the curse of dimensionality. This paper considers…