3 papers
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…
stat.CO2024
Continuous Gaussian mixture solution for linear Bayesian inversion with application to Laplace priors
Rafael Flock, Yiqiu Dong, Felipe Uribe +1
We focus on Bayesian inverse problems with Gaussian likelihood, linear forward model, and priors that can be formulated as a Gaussian mixture. Such a mixture is expressed as an int…
stat.CO2022
Certified Dimension Reduction for Bayesian Updating with the Cross-Entropy Method
Max Ehre, Rafael Flock, Martin Fußeder +2
In inverse problems, the parameters of a model are estimated based on observations of the model response. The Bayesian approach is powerful for solving such problems; one formulate…