Wavelet-based method for nonparametric estimation of HMM's

IEEE Signal Processing Letters

Volumn 7, Issue 2, 2000, Pages 25-27

  Couvreur, Laurent ^a   Couvreur, Christophe ^b  

^a FACULTÉ POLYTECHNIQUE DE MONS   (Belgium)

^b NUANCE COMMUNICATIONS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; PROBABILITY DENSITY FUNCTION; WAVELET TRANSFORMS;

EXPECTATION-MAXIMIZATION (EM) ALGORITHMS; HIDDEN MARKOV MODELS (HMM); NONPARAMETRIC ESTIMATION; STATE-CONDITIONAL PROBABILITY DENSITY FUNCTIONS;

MARKOV PROCESSES;

EID: 0033879188     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/97.817377     Document Type: Article

References (8)

1. D. Donoho, I. Johnstone, G. Kerkyacharian, and D. Picard, "Density estimation by wavelet thresholding," Ann. Statist., vol. 24, no. 2, pp. 508-539, 1996.
2. P. Hall and P. Patil, "Formulae for mean integrated squared error of nonlinear wavelet-based density estimators," Ann. Statist., vol. 23, no. 3, pp. 905-928, 1995.
3. L. R. Rabiner, "A tutorial on hidden Markov models and selected applications in speech recognition," Proc. IEEE, vol. 77, pp. 257-286, Feb. 1989.
4. B. W. Silverman, Density Estimation for Statistics and Data Analysis. London: Chapman & Hall, 1986.
5. B. Vidakovic, Statistical Modeling by Wavelets. New York: Wiley, 1999.
6. M. Zribi et al., "Unsupervised and nonparametric Bayesian classifier for HOS speaker independent HMM based isolated word speech recognition systems," in Proc. 8th IEEE Workshop on SSAP, Corfu, Greece, June 1996, pp. 190-493.
7. D. Donoho, "WaveLab 7.01 Toolbox for MATLAB," http://www.stat.stanford.edu. 1999.
8. L. Couvreur and C. Couvreur, "Wavelet-based nonparametric HMM's: Theory and applications," submitted tor publication, 2000.