4 citations · 4 across the 6 of their papers we have counts for
6 papers
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…
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, a task that in principle s…
Stein's method for marginals on large graphical models
Tiangang Cui, Shuigen Liu, Xin T. Tong
Many spatial models exhibit locality structures that effectively reduce their intrinsic dimensionality, enabling efficient approximation and sampling of high-dimensional distributi…
Estimate of Koopman modes and eigenvalues with Kalman Filter
Ningxin Liu, Shuigen Liu, Xin T. Tong +1
Dynamic mode decomposition (DMD) is a data-driven method of extracting spatial-temporal coherent modes from complex systems and providing an equation-free architecture to model and…
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…
Dropout Ensemble Kalman inversion for high dimensional inverse problems
Shuigen Liu, Sebastian Reich, Xin T. Tong
Ensemble Kalman inversion (EKI) is an ensemble-based method to solve inverse problems. Its gradient-free formulation makes it an attractive tool for problems with involved formulat…