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math.PR2016★ 2 cited
Hierarchical Bayesian Level Set Inversion
Matthew M. Dunlop, Marco A. Iglesias, Andrew M. Stuart
The level set approach has proven widely successful in the study of inverse problems for interfaces, since its systematic development in the 1990s. Recently it has been employed in…
math.PR2015
The Bayesian Formulation of EIT: Analysis and Algorithms
Matthew M. Dunlop, Andrew M. Stuart
We provide a rigorous Bayesian formulation of the EIT problem in an infinite dimensional setting, leading to well-posedness in the Hellinger metric with respect to the data. We foc…