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math.ST2026
Fast and Efficient Parallel Sampling Using Higher Order Langevin Dynamics
Jaideep Mahajan, Kaihong Zhang, Feng Liang +1
We study parallel sampling from high-dimensional strongly log-concave distributions. Langevin-based samplers converge rapidly in continuous time, but their discretizations are typi…
math.ST2024
Minimax Optimality of Score-based Diffusion Models: Beyond the Density Lower Bound Assumptions
Kaihong Zhang, Caitlyn H. Yin, Feng Liang +1
We study the asymptotic error of score-based diffusion model sampling in large-sample scenarios from a non-parametric statistics perspective. We show that a kernel-based score esti…