Abstract
The traditional method for estimation of the parameters of Hidden Markov Model (HMM) based acoustic modeling of speech uses the Expectation-Maximization (EM) algorithm. The EM algorithm is sensitive to initial values of HMM parameters and is likely to terminate at a local maximum of likelihood function resulting in non-optimized estimation for HMM and lower recognition accuracy. In this paper, to obtain better estimation for HMM and higher recognition accuracy, several candidate HMMs are created by applying EM on multiple initial models. The best HMM is chosen from the candidate HMMs which has highest value for likelihood function. Initial models are created by varying maximum frame number in the segmentation step of HMM initialization process. A binary search is applied while creating the initial models. The proposed method has been tested on TIMIT database. Experimental results show that our approach obtains improved values for likelihood function and improved recognition accuracy.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Levinson, S.E., Rabiner, L.R., Sondhi, M.M.: An introduction to the application of the theory of probabilistic functions of a Markov process to automatic speech recognition. The Bell System Technical Journal 62(4) (1983)
Rabiner, L.R.: A tutorial on Hidden Markov Models and selected applications in speech recognition. Proc. of IEEE 77, 257–286 (1989)
Dempster, A.P., Laird, N.M., Rubin, D.B.: Maximum likelihood from incomplete data via EM algorithm. Journal of royal statistical society. Series B (Methodological) 39, 1–38 (1977)
Ghahramami, Z., Jordan, M.I.: Learning from incomplete data, Technical Report AI Lab Memo No. 1509, CBCL Paper No. 108, MIT AI Lab (1995)
Wu, C.F.J.: On the convergence properties of the EM algorithm. The Annals of Statistics 11, 95–103 (1983)
Xu, L., Jordan, M.I.: On convergence properties of the EM algorithm for Gaussian mixtures. Neural Computation 8(9), 129–151 (1996)
Chau, C.W., Kwong, S., Diu, C.K., Fahrner, W.R.: Optimization of HMM by a Genetic Algorithm. In: Proc. of the 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 1997) (1997)
Martinez, A.M., Vitria, J.: Learning mixture models using a genetic version of the EM algorithm. Pattern Recognition Letters 21, 759–769 (2000)
Martinez, A.M., Vitria, J.: Clustering in image space for place recognition and visual annotations for human-robot interaction. IEEE Transactions on Systems, Man, and Cybernetics - Part B 31, 669–682 (2001)
Michalewicz, Z., Schoenauer, M.: Evolutionary Algorithms for Constrained Parameter Optimization Problems. Evolutionary Computation 4(1), 1–32 (1996)
Back, T.: Evolutionary Algorithm in Theory and Practice. Oxford University Press, Oxford (1996)
Back, T., Schwefel, H.: Evolutionary computation: An overview. In: IEEE Conference on Evolutionary Computation, pp. 20–29 (1996)
Pernkopf, F., Bouchaffra, D.: Genetic-Based EM Algorithm for Learning Gaussian Mixture Models. IEEE Trans. on Pattern Analysis and Machine Intelligence 27(28) (2005)
Kapadia, S., Valtchev, V., Young, S.J.: MMI training for continuous phoneme recognition on the TIMIT database. In: Proc. of the IEEE Conference on Acoustic Speech and Signal Processing, vol. 2, pp. 491–494 (1993)
Rabiner, L.R., Juang, B.H., Levisnon, S.E., Sondhi, M.M.: Some properties of continuous Hidden Markov Model representation, AT & T Tech. Journal, Vol. 64(6), pp.1251–1270 (1985)
Soong, F.K., Svendsen, T.: On the Automatic Segmentation of Speech. In: Proc. ICASSP (1987)
Ghosh, R.: Connection topologies for combining genetic and least square methods for neural learning. Journal of Intelligent System 13(3), 199–232 (2004)
Veterbi, A.J.: Error bounds for convolutional codes and an asymptotically optimal decoding algorithm. IEEE transaction on Information Theory IT-13, 260–269 (1967)
Garofolo, S.J., Lamel, L., Fisher, M.W.: TIMIT Acoustic-Phonetic Continuous Speech Corpus, Linguistic Data Consortium, University of Pennsylvania ISBN: 1-58563-019-5
Yung, Y.S., Oh, Y.H.: A segmental-feature HMM for continuous speech recognition based on a parametric trajectory model. Journal of Speech Communication 38(1), 115–130 (2002)
Lamel, L., Gauvain, J.L.: High performance speaker-independent phone recognition using CDHMM. In: Proc. EUROSPEECH, pp. 121–124 (1993)
Figueiredo, M.A.T., Jain, A.K.: Unsupervised learning of finite mixture models. IEEE Transactions on Pattern Analysis and Machine Intelligence 24, 1–16 (2002)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Huda, M.S., Ghosh, R., Yearwood, J. (2006). A Variable Initialization Approach to the EM Algorithm for Better Estimation of the Parameters of Hidden Markov Model Based Acoustic Modeling of Speech Signals. In: Perner, P. (eds) Advances in Data Mining. Applications in Medicine, Web Mining, Marketing, Image and Signal Mining. ICDM 2006. Lecture Notes in Computer Science(), vol 4065. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11790853_33
Download citation
DOI: https://doi.org/10.1007/11790853_33
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-36036-0
Online ISBN: 978-3-540-36037-7
eBook Packages: Computer ScienceComputer Science (R0)