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 $u$ from noisy measurements $y$ of a known, possibly nonlinear, map $\mathcal{G}$ applied to $u$. We adopt a Bayes…