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math.PR2013★ 162 cited
MAP Estimators and Their Consistency in Bayesian Nonparametric Inverse Problems
Masoumeh Dashti, Kody J. H. Law, Andrew M. Stuart +1
We consider the inverse problem of estimating an unknown function from noisy measurements of a known, possibly nonlinear, map applied to . We adopt a Bayes…
math.PR2013★ 38 cited
The Bayesian Approach To Inverse Problems
Masoumeh Dashti, Andrew M. Stuart
These lecture notes highlight the mathematical and computational structure relating to the formulation of, and development of algorithms for, the Bayesian approach to inverse probl…