Bayesian Approach to Inverse Problems PDF

A Nonparametric Bayesian Approach to Inverse Problems A Nonparametric Bayesian Approach to Inverse Problems ROBERT L. WOLPERT Duke University, USA [email protected] KATJA ICKSTADT MARTIN B. HANSEN Universitat Dortmund, Germany Aalborg Universitet, Denmark¨ [email protected] [email protected] SUMMARY We propose a new method for making inference about an unknown measure Γ(dλ)upon observing some values of …

The main object of this paper is to present some general concepts of Bayesian inference and more specifically the estimation of the hyperparameters in inverse  ...

In this work, we develop a novel robust Bayesian approach to inverse problems with data errors following a skew-tdistribution. A hierarchical Bayesian model is developed in the inverse problem setup. The Bayesian approach contains a natural mechanism for regular-ization in the form of a prior distribution, and a LASSO type prior distribution is

We will treat u, y and η as random variables and define the “solution” of the inverse problem to be the probability distribution of u given y, denoted u|y. This allows ...

The goal of this book is to deal with inverse problems and regularized solutions using the Bayesian statistical tools, with a particular view to signal and image ...