Variational Bhattacharyya divergence for hidden Markov models

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

Volumn , Issue , 2008, Pages 4557-4560

  Hershey, John R ^a   Olsen, Peder A ^a  

^a IBM T J WATSON RESEARCH CENTER   (United States)

Author keywords

Bhattacharyya error; Bhattaeharyya divergence; Gaussian mixture models (GMMs); Hidden Markov models (HMMs); Vari ational methods

Indexed keywords

BHATTACHARYYA ERROR; BHATTAEHARYYA DIVERGENCE; GAUSSIAN MIXTURE MODELS (GMMS); HIDDEN MARKOV MODELS (HMMS); VARI-ATIONAL METHODS;

ACOUSTICS; COMPUTATIONAL GRAMMARS; HIDDEN MARKOV MODELS; IMAGE SEGMENTATION; LEARNING SYSTEMS; MARKOV PROCESSES; OBJECT RECOGNITION; PROBABILITY; RISK ASSESSMENT; SIGNAL PROCESSING; SPEECH;

PROBABILITY DISTRIBUTIONS;

EID: 51449111964     PISSN: 15206149     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICASSP.2008.4518670     Document Type: Conference Paper

References (12)

1. A. Bhattacharyya, "On a measure of divergence between two statistical populations defined by probability distributions," Bull. Calcutta Math. Soc., vol. 35, pp. 99-109, 1943.
2. Tony Jebara and Risi Kondor, "Bhattacharyya and expected likelihood kernels," in Conference on Learning Theory, 2003.
3. Brian Mak and Etienne Barnard, "Phone clustering using the Bhattacharyya distance," in Proc. ICSLP '96, Philadelphia, PA, 1996, vol. 4, pp. 2005-2008.
4. George Saon and Mukund Padmanabhan, "Minimum bayes error feature selection for continuous speech recognition," in NIPS, 2000, pp. 800-806.
5. John Hershey and Peder Olsen, "Approximating the Kullback Leibler divergence between gaussian mixture models," in Proceedings of ICASSP 2007, Honolulu, Hawaii, April 2007.
6. Peder Olsen and John Hershey, "Bhattacharyya error and divergence using variational importance sampling," in Proceedings of Interspeech 2007, August 2007, to appear.
7. Jia-Yu Chen, Peder Olsen, and John Hershey, "Word confusability - measuring hidden Markov model similarity," in Proceedings of Interspeech 2007, August 2007, to appear.
8. Keinosuke Fukunaga, Statistical Pattern Recognition, Academic Press, Inc., San Diego, CA, 1990.
9. R.A. Horn and C.R. Johnson, Matrix Analysis, Cambridge University Press, 1990.
10. John R. Hershey, Peder A. Olsen, and Steven J. Rennie, "Variational Kullback Leibler divergence for hidden Markov models," in Proceedings of ASRU, Kyoto, Japan, December 2007.
11. Harry Printz and Peder Olsen, "Theory and practice of acoustic confusability," Computer, Speech and Language, vol. 16, pp. 131-164, January 2002.
12. J. Silva and S. Narayanan, "Average divergence distance as a statistical discrimination measure for hidden Markov models," IEEE Transactions on Audio, Speech, and Language Processing, vol. 14, no. 3, pp. 890-906, May 2006.