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In this paper, we have proposed a new method to construct an auxiliary function for the discriminative training of HMMs in speech recognition. The new auxiliary function serves as a first-order approximation of the original objective function but more importantly it remains as a lower bound of the original objective function as well. Furthermore, the trust region (TR) method in [1] is applied to find...
In this paper, we present a new optimization method for MMIE-based discriminative training of HMMs in speech recognition. In our method, the MMIE training of Gaussian mixture HMMs is formulated as a so-called trust region problem, where a quadratic objective function is minimized under a spherical constraint, so that an efficient global optimization method for the trust region problem can be used...
Recently, we proposed a novel optimization algorithm called constrained line search (CLS) to train Gaussian mean vectors of HMMs in the MMI sense. In this paper, we extend and re-formulate it in a more general framework. The new CLS can optimize any discriminative objective functions including MMI, MCE, MPE/MWE etc. Also, closed-form solutions to update all Gaussian mixture parameters, including means,...
In this paper, we propose a new optimization method, i.e., constrained joint optimization method, to solve the minimax optimization problem in large margin estimation (LME) of continuous density hidden Markov model (CDHMM) for speech recognition. First, we mathematically analyze the definition of margin and introduce some theoretically-sound constraints into the minimax optimization to guarantee the...
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