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EM Algorithm: A Neural Network View

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Book cover Neural Nets WIRN VIETRI-97

Part of the book series: Perspectives in Neural Computing ((PERSPECT.NEURAL))

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Abstract

We show how to build accurately a continuous-time recurrent neural network architecture that implements the discriminating functions for a gaussian mixture. The network structure is obtained in batch after the distribution parameters have been estimated using the EM algorithm. Simulations show that the neural network at steady state is capable of being an accurate estimator for the posterior probabilities.

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References

  • Dempster, A. P., Laird, N. M., and Rubin, D. B. (1977). “Maximum likelihood from incomplete data via the EM algorithm”. Jornal of the Royal Statistical Society, B39, pp. 1–38.

    MATH  MathSciNet  Google Scholar 

  • Jordan, M. I., Jacobs, R.A. (1994). “Hierarchical mixtures of experts and the EM algorithm”. Neural Computation, 6, pp. 181–214.

    Article  Google Scholar 

  • Kohonen, T. (1990). “The self organizing map”. Proceedings of the IEEE, 78, pp. 1464–1480.

    Article  Google Scholar 

  • Marcus, M. C., Westervelt, R. M. (1989) “Dynamics of iterated map neural networks”. Physical Review A, 40, pp. 501–504.

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  • Redner, R. A., and Walker, H. F. (1984). “Mixture densities, maximum likelihood and the EM algorithm”. SIAM Review, 26, pp. 195–239.

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  • Waugh, F. R., and Westervelt, R. M. (1993). “Analog neural networks with local competition. I. Dynamics and stability”. Physical Review E, 47, pp. 4524–4536.

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© 1998 Springer-Verlag London Limited

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Budillon, A., Corrente, M., Palmieri, F. (1998). EM Algorithm: A Neural Network View. In: Marinaro, M., Tagliaferri, R. (eds) Neural Nets WIRN VIETRI-97. Perspectives in Neural Computing. Springer, London. https://doi.org/10.1007/978-1-4471-1520-5_29

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  • DOI: https://doi.org/10.1007/978-1-4471-1520-5_29

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-1522-9

  • Online ISBN: 978-1-4471-1520-5

  • eBook Packages: Springer Book Archive

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