6 citations · 14 across the 5 of their papers we have counts for
9 papers · 1 filter
A Matlab Program to Calculate the Maximum Entropy Distributions
A. Mohammad-Djafari
The classical Maximum Entropy (ME) problem consists of determining a probability distribution function (pdf) from a finite set of expectations of known functions. The solution depe…
A scale invariant Bayesian method to solve linear inverse problems
A. Mohammad-Djafari, Jérôme Idier
In this paper we propose a new Bayesian estimation method to solve linear inverse problems in signal and image restoration and reconstruction problems which has the property to be…
Scale Invariant Markov Models for Bayesian Inversion of Linear Inverse Problems
Stéphane Brette, Ali Mohammad-Djafari, Jérôme Idier
In a Bayesian approach for solving linear inverse problems one needs to specify the prior laws for calculation of the posterior law. A cost function can also be defined in order to…
A full Bayesian approach for inverse problems
A. Mohammad-Djafari
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 problems. We consider…
A Comparison of Two Approaches: Maximum Entropy on the Mean (MEM) and Bayesian Estimation (BAYES) for Inverse Problems
A. Mohammad-Djafari
To handle with inverse problems, two probabilistic approaches have been proposed: the maximum entropy on the mean (MEM) and the Bayesian estimation (BAYES). The main object of this…
New Advances in Bayesian Calculation for Linear and Nonlinear Inverse Problems
A. Mohammad-Djafari
The Bayesian approach has proved to be a coherent approach to handle ill posed Inverse problems. However, the Bayesian calculations need either an optimization or an integral calcu…