Abstract
In this paper we suggest a new variational Bayesian approach. Variational Expectation-Maximization (VEM) algorithm is proposed in order to estimate a set of hyperparameters modelling distributions of parameters characterizing mixtures of Gaussians. We consider maximum log-likelihood (ML) estimation for the initialization of the hyperparameters. The ML estimation is employed on distributions of parameters obtained from successive runs of the EM algorithm on the same data set. The proposed algorithm is used for unsupervised detection of quadrature amplitude and phase-shift-key modulated signals.
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References
Dempster, A.P., Laird, N.M., Rubin, D.B.: Maximum Likelihood from Incomplete Data via EM Algorithm. J. of the Royal Stat. Soc., Series B 39(1), 1–38 (1977)
Gelman, A., Carlin, J.B., Stern, H.S., Rubin, D.B.: Bayesian Data Analysis. Chapman & Hall, Boca Raton (1995)
Jordan, M.I., Ghahramani, Z., Jaakkola, T.S., Saul, L.K.: An introduction to variational methods for graphical models. In: Jordan, M.I. (ed.) Learning in Graphical Models, pp. 105–161. MIT Press, Cambridge (1999)
Jaakkola, T.S., Jordan, M.I.: Bayesian parameter estimation via variational methods. Statistics and Computing 10, 25–37 (2000)
Attias, H.: A Variational Bayesian Framework for Graphical Models. In: Advances in Neural Information Processing Systems (NIPS) 12, pp. 209–215 (2000)
Ghahramani, Z., Beal, M.: Propagation Algorithms for Variational Bayesian learning. In: Advances in Neural Information Processing Systems (NIPS) 13, pp. 294–300 (2001)
Roberts, S.J., Penny, W.D.: Variational Bayes for Generalized autoregressive models. IEEE Trans. on Signal Processing 50(9), 2245–2257 (2002)
Bors, A.G., Gabbouj, M.: Quadrature Modulated Signal Detection Based on Gaussian Neural Networks. In: Proc. of IEEE Workshop Visual Signal Processing and Communications, Melbourne, Australia, September 1993, pp. 113–116 (1993)
Attias, H.: Inferring parameters and structure of latent variable models by variational Bayes. In: Proc. of 15th Conf. on Uncertainty in Artif. Intel., Stockholm, Sweden, pp. 21–30 (1999)
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Nasios, N., Bors, A.G. (2003). Blind Source Separation Using Variational Expectation-Maximization Algorithm. In: Petkov, N., Westenberg, M.A. (eds) Computer Analysis of Images and Patterns. CAIP 2003. Lecture Notes in Computer Science, vol 2756. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45179-2_55
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DOI: https://doi.org/10.1007/978-3-540-45179-2_55
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40730-0
Online ISBN: 978-3-540-45179-2
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