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math.NA2024
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…
math.NA2023
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…