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Genetic Algorithms as an Alternative Method of Parameter Estimation and Finding Most Likely Sequences of States of Hidden Markov Chains for HMMs and Hybrid HMM/ANN Models

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EN
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EN
In this paper genetic algorithms are used in estimation and decoding processes of a Hidden Markov Model (HMM) and a hybrid HMM/ANN model with conditional binomial distributions. The hybrid model combines a hidden Markov chain with a perceptron which is assumed to constitute a match network. Genetic algorithms are applied here instead of the traditional methods such as the EM algorithm and the Viterbi algorithm. The paper demonstrates performance of an HMM and a hybrid model in modeling the annual number of months, in which some seismic events are recorded. Parameters of the discrete-time two-state models are estimated using the maximum likelihood method, on the basis of data on seismic events that were recorded in Romania in years 1901C1990. Then, on the basis of the estimation results, the most likely sequences of states of the hidden Markov chains are found.
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1--17
Opis fizyczny
bibliogr. 18 poz., tab., wykr.
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  • Scoring Department, Credit Information Bureau, Modzelewskiego 77A, 02-679 Warsaw, Poland Address for corr.: Kluczborska 7/8, 01-461 Warsaw, Poland, katarzyna.bijak@bik.pl
Bibliografia
  • [1] Baldi, P., Brunak, S.: Bioinformatics: the machine learning approach,Masp. MIT Press, Cambridge, 2001.
  • [2] Barndorff-Nielsen, O. E., Cox, D. R., Klüppelberg, C.: Complex stochastic systems, Chapman and Hall/CRC, Boca Raton, 2000.
  • [3] Baum, L. E., Petrie, T.: Statistical inference for probabilistic functions of finite Markov chains, Annals of Mathematical Statistics, 37(6), 1966, 1554-1563.
  • [4] Bickel, P. J., Ritov, Y., Ryden, T.: Asymptotic normality of the maximum-likelihood estimator for general hidden Markov models, The Annals of Statistics, 26(4), 1998, 1614-1635.
  • [5] Elliott, R. J., Lakhdar, A., Moore, J. B.: Hidden Markov models: estimation and control, Springer, New York, 1995.
  • [6] Ephraim, Y., Merhav, N.: Hidden Markov Processes, IEEE Transactions on Information Theory, 48(6), 2002, 1518-1569.
  • [7] Goldberg, D. E.: Algorytmy genetyczne i ich zastosowania,WNT, Warszawa, 1995.
  • [8] Huang, X. D., Ariky, Y., Jack, M. A.: Hidden Markov models for speech recognition, Edinburgh University Press, 1990.
  • [9] Kr¨ose, N., van der Smagt, P.: An Introduction to Neural Networks, University of Amsterdam, 1996.
  • [10] Kurimo, M.: Using Self-Organizing Maps and Learning Vector Quantization for Mixture Density Hidden Markov Models, Helsinki University of Technology, Espoo, 1997.
  • [11] Leroux, B. G.: Maximum-likelihood estimation for hidden Markov models, Stochastic Processes and Their Applications, 40(1), 1992, 127-143.
  • [12] MacDonald, I. L., Zucchini,W.: Hidden Markov and other models for discrete-valued time series, Chapman and Hall, London, 1997.
  • [13] Rabiner, L.: A Tutorial on hidden Markov Models and Selected Applications in Speech Recognition, Proceedings of the IEEE, 77(2), 1989, 257-285.
  • [14] Riis, S. K., Krogh, A.: Hidden neural networks: a framework for HMM/NN hybrids, Proc. IEEE International Conference on Acoustics, Speech, and Signal Processing, New York, 1997, 3233-3236.
  • [15] Rolski, T., Schmidli, H., Schmidt, V., Teugels, J.: Stochastic Processes for Insurance and Finance, Wiley, Chichester, 1999.
  • [16] Rynkiewicz, J.: Hybrid HMM/MLP models for time series prediction, Proc. European Symposium on Artificial Neural Networks, Bruges, 1999, 455-462.
  • [17] Rynkiewicz, J.: Estimation of Hybrid HMM/MLP models, Proc. European Symposium on Artificial Neural Networks, Bruges, 2001, 383-390.
  • [18] Trentin, E., Gori, M.: A survey of hybrid ANN/HMM models for automatic speech recognition, Neurocomputing, 37(1-4), 2001, 91-126.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS5-0018-0001
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