A Full Bayesian Approach for Inverse Problems

  title={A Full Bayesian Approach for Inverse Problems},
  author={Ali Mohammad-Djafari},
The main object of this paper is to present some general concepts of Bayesian inference and more speciically the estimation of the hyperparameters in inverse problems. We consider a general linear situation where we are given some data y related to the unknown parameters x by y = Ax + n and where we can assign the probability laws p(xj), p(yjx;), p() and p(). The main discussion is then how to infer x, and either individually or any combinations of them. Diierent situations are considered and… CONTINUE READING
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