A convex optimization method for joint mean and variance parameter estimation of large-margin CDHMM

Tsung Hui Change, Zhi-Quan Luo, Li Deng, Chong Yung Chi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Scopus citations

Abstract

In this paper, we develop a new class of parameter estimation techniques for the Gaussian Continuous-Density Hidden Markov Model (CDHMM), where the discriminative margin among a set of HMMs is used as the objective function for optimization. In addition to optimizing the mean parameters of the large-margin CDHMM, which was attempted in the past, our new technique is able to optimize the variance parameters as well. We show that the joint mean and variance estimation problem is a difficult optimization problem but can be approximated by a convex relaxation method. We provide some simulation results using synthetic data which possess key properties of speech signals to validate the effectiveness of the new method. In particular, we show that with joint optimization of the mean and variance parameters, the CDHMMs under model mismatch are much more discriminative than with only the mean parameters.

Original languageEnglish (US)
Title of host publication2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP
Pages4053-4056
Number of pages4
DOIs
StatePublished - Sep 16 2008
Event2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP - Las Vegas, NV, United States
Duration: Mar 31 2008Apr 4 2008

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)1520-6149

Other

Other2008 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP
Country/TerritoryUnited States
CityLas Vegas, NV
Period3/31/084/4/08

Keywords

  • Classification
  • Convex optimization
  • Gaussian CDHMM
  • Large margin parameter estimation

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