3 papers
stat.ML2024
Model Free Prediction with Uncertainty Assessment
Yuling Jiao, Lican Kang, Jin Liu +2
Deep nonparametric regression, characterized by the utilization of deep neural networks to learn target functions, has emerged as a focus of research attention in recent years. Des…
stat.ML2024
Latent Schr{ö}dinger Bridge Diffusion Model for Generative Learning
Yuling Jiao, Lican Kang, Huazhen Lin +2
This paper aims to conduct a comprehensive theoretical analysis of current diffusion models. We introduce a novel generative learning methodology utilizing the Schr{ö}dinger bridge…
math.PR2023
Lipschitz Transport Maps via the Follmer Flow
Yin Dai, Yuan Gao, Jian Huang +3
Inspired by the construction of the F{ö}llmer process, we construct a unit-time flow on the Euclidean space, termed the F{ö}llmer flow, whose flow map at time 1 pushes forward a st…