String-averaging expectation-maximization for maximum likelihood estimation in emission tomography

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...

Vector-extrapolated fast maximum likelihood estimation algorithms for emission tomography

A new class of fast maximum-likelihood estimation (MLE) algorithms for emission computed tomography (ECT) is developed. In these cyclic iterative algorithms, vector extrapolation techniques are integrated with the iterations in gradient-based MLE algorithms, with the objective of accelerating the convergence of the base iterations. This results in a substantial reduction in the effective number...

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

Maximum pseudo likelihood estimation in network tomography

Network monitoring and diagnosis are key to improving network performance. The difficulties of performance monitoring lie in today’s fast growing Internet, accompanied by increasingly heterogeneous and unregulated structures. Moreover, these tasks become even harder since one cannot rely on the collaboration of individual routers and servers to directly measure network traffic. Even though the ...