3 papers
math.PR2026
Spectral Gap of Metropolis Algorithms for Non-smooth Distributions under Isoperimetry
Shuigen Liu, Xin T. Tong
Metropolis algorithms are classical tools for sampling from target distributions, with broad applications in statistics and scientific computing. Their convergence speed is governe…
cs.LG2025
Localized Diffusion Models
Georg A. Gottwald, Shuigen Liu, Youssef Marzouk +2
Diffusion models are state-of-the-art tools for various generative tasks. Yet training these models involves estimating high-dimensional score functions, which in principle suffers…
math.NA2025
Local MALA-within-Gibbs for Bayesian image deblurring with total variation prior
Rafael Flock, Shuigen Liu, Yiqiu Dong +1
We consider Bayesian inference for image deblurring with total variation (TV) prior. Since the posterior is analytically intractable, we resort to Markov chain Monte Carlo (MCMC) m…