Istituto di Scienza e Tecnologie dell'Informazione     
Wilson S. P., Kuruoglu E. E., QuirŽOs Carretero A. Bayesian factor analysis using Gaussian mixture sources, with application to separation of the cosmic microwave background. In: CIP 2010 - 2nd International Workshop on Cognitive Information Processing (Isola d'Elba, Italy, 14-16 Giugno 2010). Proceedings, vol. 1 pp. 198 - 202. F. Gini, S. Theodoridis, M.S. Greco (eds.). IEEE, 2010.
In this paper a fully Bayesian factor analysis model is developed that assumes a very general model for each factor, namely the Gaussian mixture. We discuss the cases where factors are both independent and dependent. In the statistical literature, factor analysis has been used principally as a dimension reduction technique, with little interest in a priori modelling of the factors, but here the application is source separation where the factors may have a direct interpretation and the usual Gaussian model for a factor may not be appropriate. That is the case for the application that illustrates our work, which is that of identifying different sources of extra-terrestrial microwaves from all-sky images taken at different frequencies. In particular there is interest in separating out the cosmic microwave background (CMB) signal from the other sources.
URL: http://www.conference.iet.unipi.it/cip2010/technical_program.php
Subject Bayesian source separation
Cosmic microwave background
G.3 Probability and Statistics. Probabilistic algorithms (including Monte Carlo)
J.2 Physical Sciences and Engineering. Astronomy
65C05 Monte Carlo methods
85A35 Statistical astronomy

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