Fast Gibbs sampling for high-dimensional Bayesian inversion

• Published in: Inverse problems Vol. 32; no. 11; pp. 115019 - 115041
• Main Author: Lucka, Felix
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.11.2016
• Subjects: Bayesian inversion; computed tomography; Gibbs sampler; MCMC; slice sampling; total variation prior

Solving ill-posed inverse problems by Bayesian inference has recently attracted considerable attention. Compared to deterministic approaches, the probabilistic representation of the solution by the posterior distribution can be exploited to explore and quantify its uncertainties. In applications whe...