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math.ST2013★ 50 cited
Posterior Consistency for Bayesian Inverse Problems through Stability and Regression Results
Sebastian J. Vollmer
In the Bayesian approach, the a priori knowledge about the input of a mathematical model is described via a probability measure. The joint distribution of the unknown input and the…
math.ST2013
Dimension-Independent MCMC Sampling for Inverse Problems with Non-Gaussian Priors
Sebastian J. Vollmer
The computational complexity of MCMC methods for the exploration of complex probability measures is a challenging and important problem. A challenge of particular importance arises…