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Blind Source Separation Using Variational Expectation-Maximization Algorithm

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Computer Analysis of Images and Patterns (CAIP 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2756))

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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

  1. 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)

    MATH  MathSciNet  Google Scholar 

  2. Gelman, A., Carlin, J.B., Stern, H.S., Rubin, D.B.: Bayesian Data Analysis. Chapman & Hall, Boca Raton (1995)

    Google Scholar 

  3. 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)

    Google Scholar 

  4. Jaakkola, T.S., Jordan, M.I.: Bayesian parameter estimation via variational methods. Statistics and Computing 10, 25–37 (2000)

    Article  Google Scholar 

  5. Attias, H.: A Variational Bayesian Framework for Graphical Models. In: Advances in Neural Information Processing Systems (NIPS) 12, pp. 209–215 (2000)

    Google Scholar 

  6. Ghahramani, Z., Beal, M.: Propagation Algorithms for Variational Bayesian learning. In: Advances in Neural Information Processing Systems (NIPS) 13, pp. 294–300 (2001)

    Google Scholar 

  7. Roberts, S.J., Penny, W.D.: Variational Bayes for Generalized autoregressive models. IEEE Trans. on Signal Processing 50(9), 2245–2257 (2002)

    Article  MathSciNet  Google Scholar 

  8. 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)

    Google Scholar 

  9. 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)

    Google Scholar 

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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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