# Consistency of the posterior distribution in generalized linear inverse problems

@article{Bochkina2012ConsistencyOT, title={Consistency of the posterior distribution in generalized linear inverse problems}, author={Natalia Bochkina}, journal={Inverse Problems}, year={2012}, volume={29} }

For ill-posed inverse problems, a regularized solution can be interpreted as a mode of the posterior distribution in a Bayesian framework. This framework enriches the set of possible solutions, as other posterior estimates can be used as a solution to the inverse problem, such as the posterior mean which can be easier to compute in practice. In this paper we prove consistency of Bayesian solutions of an ill-posed linear inverse problem in the Ky Fan metric for a general class of likelihoods and…

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