An Acoustic Model Based on Kullback-Leibler Divergence for Posterior Features
Guillermo Aradilla, Jithendra Vepa, Hervé A. Bourlard
Abstract
Guillermo Aradilla, Jithendra Vepa, Hervé A. Bourlard
Abstract
This paper investigates the use of features based on posterior probabilities of subword units such as phonemes. These features are typically transformed when used as inputs for a hidden Markov model with mixture of Gaussians as emission distribution (HMM/GMM). In this work, we introduce a novel acoustic model that avoids the Gaussian assumption and directly uses posterior features without any transformation. This model is described by a finite state machine where each state is characterized by a target distribution and the cost function associated to each state is given by the Kullback-Leibler (KL) divergence between its target distribution and the posterior features. Furthermore, hybrid HMM/ANN system can be seen as a particular case of this KL-based model where state target distributions are predefined. A recursive training algorithm to estimate the state target distributions is also presented.
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This paper investigates the use of features based on posterior probabilities of subword units such as phonemes. These features are typically transformed when used as inputs for a hidden Markov model with mixture of Gaussians as emission distribution (HMM/GMM). In this work, we introduce a novel acoustic model that avoids the Gaussian assumption and directly uses posterior features without any transformation. This model is described by a finite state machine where each state is characterized by a target distribution and the cost function associated to each state is given by the Kullback-Leibler (KL) divergence between its target distribution and the posterior features. Furthermore, hybrid HMM/ANN system can be seen as a particular case of this KL-based model where state target distributions are predefined. A recursive training algorithm to estimate the state target distributions is also presented.
Key concepts: Hidden Markov model, Kullback–Leibler divergence, Mixture model, Divergence (linguistics), Posterior probability, Computer science, Gaussian, Pattern recognition (psychology)