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Adapted Extended Baum-Welch transformations

By Dr Dimitri Kanevsky, Dr Daniel Povey, Dr Bhuvana Ramabhadran and Dr Tara Sainath


The discrimination technique for estimating parameters of Gaussian mixtures that is based on the Extended Baum-Welch transformations (EBW) has had significant impact on the speech recognition community. \ud In this paper we introduce a general definition of a family of EBW transformations that can be associated with a weighted sum of updated and initial models. We compute a gradient steepness measurement for a family of EBW transformations that are applied to functions of Gaussian mixtures and demonstrate the growth property of these transformations. We consider EBW transformations of discriminative functions in which EBW controlled parameters are adapted to a gradient steepness measurement or to the likelihood of the data given the model. We present experimental results that show that adapted EBW transformations can significantly speed up estimating parameters of Gaussian mixtures and give better decoding results

Topics: Speech
Year: 2007
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    1. (1991). An inequality for rational functions with applications to some statistical estimation problems”,
    2. (1967). An inequality with applications to statistical prediction for functions of Markov processes and to a model of ecology,”
    3. (2000). Constrained corrective training for continuous parameter system”, US patent 6,044,344,
    4. (2002). Discriminative Speaker Adaptation with Conditional Maximum Likelihood Linear Regression,” ICASSP,
    5. Discriminative Training of Subspace Constrained GMMs for Speech Recognition,”
    6. (2005). Extended Baum Transformations for General Functions,
    7. (2004). Extended Baum transformations for general functions”, in
    8. (2007). Extended Baum-Welch Transformations for General Functions,
    9. (2003). Growth Transformations for General Functions”,
    10. (2007). Ren-Hua Wang, ”A Constrained Line Search Optimization for Discriminative Training in Speech Recognition”,

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