55 citations · 598 across the 84 of their papers we have counts for
4 papers · 1 filter
Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems
Sergios Agapiou, Martin Burger, Masoumeh Dashti +1
We consider the inverse problem of recovering an unknown functional parameter in a separable Banach space, from a noisy observation of its image through a known possibly no…
Risk Estimators for Choosing Regularization Parameters in Ill-Posed Problems - Properties and Limitations
Felix Lucka, Katharina Proksch, Christoph Brune +4
This paper discusses the properties of certain risk estimators recently proposed to choose regularization parameters in ill-posed problems. A simple approach is Stein's unbiased ri…
Maximum a posteriori probability estimates in infinite-dimensional Bayesian inverse problems
Tapio Helin, Martin Burger
A demanding challenge in Bayesian inversion is to efficiently characterize the posterior distribution. This task is problematic especially in high-dimensional non-Gaussian problems…
Maximum-A-Posteriori Estimates in Linear Inverse Problems with Log-concave Priors are Proper Bayes Estimators
Martin Burger, Felix Lucka
A frequent matter of debate in Bayesian inversion is the question, which of the two principle point-estimators, the maximum-a-posteriori (MAP) or the conditional mean (CM) estimate…