Geodesic
An Algorithm for Parameters Estimation of Autoregressive Model of Basic Speech Units
Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 2, pp. 23-33

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The article considers the problem of estimating autoregressive model parameters of elementary speech units such as phonemes. It is suggested an iterative algorithm based on the Newton numerical minimization technique to search an autoregressive model of phonemes specified its multiple samples. For this purpose the analytical expressions of the gradient and the Hessian of Kullback–Leibler information divergence between autoregressive models were computed. Experimental studies on a set of English phonemes showed that the developed algorithm requires less computational effort for large amounts of data, and iterations count depends little on the amount of input data as opposed to reference phoneme selection algorithm based on the criterion of a minimum sum of information divergence. Moreover, the proposed algorithm allows finding models of phonemes, which provide a higher probability of correct recognition.
Keywords: automatic speech recognition, basic speech units
Mots-clés : information divergence, phoneme. 
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     author = {I. V. Gubochkin},
     title = {An {Algorithm} for {Parameters} {Estimation} of {Autoregressive} {Model} of {Basic} {Speech} {Units}},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {23--33},
     publisher = {mathdoc},
     volume = {20},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2013_20_2_a1/}
}
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I. V. Gubochkin. An Algorithm for Parameters Estimation of Autoregressive Model of Basic Speech Units. Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 2, pp. 23-33. http://geodesic.mathdoc.fr/item/MAIS_2013_20_2_a1/