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math.ST2026
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.ST2025
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…
math.ST2024
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…