Multi GPU parallelization of maximum likelihood expectation maximization method for digital rock tomography data

String-Averaging Expectation-Maximization for Maximum Likelihood Estimation in Emission Tomography

String-Averaging Expectation-Maximization for Maximum Likelihood Estimation in Emission Tomography Elias Salomão Helou1, Yair Censor2, Tai-Been Chen3, I-Liang Chern4,5, Álvaro Rodolfo De Pierro6, Ming Jiang7 and Henry Horng-Shing Lu8 Department of Applied Mathematics and Statistics, State University of São Paulo, Postal Box 668, São Carlos, SP, Brazil. [email protected]. 2Department of Mathemat...

Parallelized formulation of the maximum likelihood-expectation maximization algorithm for fine-grain message-passing architectures

Recent architectural and technological advances have led to the feasibility of a new class of massively parallel processing systems based on a fine-grain, message-passing computational model. These machines provide a new alternative for the development of fast, cost-efficient Maximum Likelihood-Expectation Maximization (ML-EM) algorithmic formulations. As an important first step in determining ...

Maximum likelihood estimation of K-distribution parameters via the expectation-maximization algorithm

Maximum Lq-Likelihood Estimation via the Expectation Maximization Algorithm: A Robust Estimation of Mixture Models

We introduce a maximum Lq-likelihood estimation (MLqE) of mixture models using our proposed expectation maximization (EM) algorithm, namely the EM algorithm with Lq-likelihood (EM-Lq). Properties of the MLqE obtained from the proposed EMLq are studied through simulated mixture model data. Compared with the maximum likelihood estimation (MLE) which is obtained from the EM algorithm, the MLqE pro...

Maximum-likelihood absorption tomography

– Maximum-likelihood methods are applied to the problem of absorption tomography. The reconstruction is done with the help of an iterative algorithm. We show how the statistics of the illuminating beam can be incorporated into the reconstruction. The proposed reconstruction method can be considered as a useful alternative in the extreme cases where the standard ill-posed direct-inversion method...