Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8391Research ArticleModeling Speach Features Via Simulated Annealing AlgorithmErmilovA VDepartment of Control of System Developmentalvalerm@mail.ruNational Research University “Higher School of Economics”15022014235435808092016Copyright © 2014,2014Mel-Frequency Cepstral Coefficients are in so far the most popular speech features. However, depending on the length of a vocal tract (it is worth mentioning that length of a vocal tract is dependent on sex and other physiologic parameters of a speaker, such as height, and can vary from 13 cm to 18 cm) frequencies of central formants are shifted. The value of the shift can be as large as 25%. This huge difference can lead to a wrong recognition of a new utterance by a previously well-trained model when the utterance was said by a new speaker, thus the system becomes speaker-dependent. Alternative way is to use speaker independent features such as that obtained using Auditory Image Model (AIM) to describe input utterance. In our work we propose AIM based features which are calculated using simulated annealing algorithm. Using Monte-Carlo schemes we investigate statistical properties of maximum likelihood estimates of Gram-Charlier extension of normal density obtained via simulated annealing algorithm, also we compare different methods to solve aforementioned optimization problem.speach featuressimulated annealingspeech recognitiondistribution modelingnumerical methodsречевые признакиалгоритм симуляции отжигараспознавание речимоделирование распределенийчисленные методы[Sahidullah M., Saha G. Design, Analysis and Experimental Evaluation of Block Based Transformation in MFCC Computation for Speaker Recognition // Speech Communication. - 2012. - Vol. 54, No 4. - Pp. 543-565.][Munich M. E., Lin Q. Auditory Image Model features for Automatic Speech Recognition // 9th European Conference on Speech Communication and Technology (Interspeech’ 2005 - Eurospeech). - 2005. - Pp. 3037-3040.][Niguez T., Perote J. Forecasting the Density of Asset Returns // STICERD Working Paper. - 2004.][Neal R. M. Slice Sampling // Annals of Statistics. - 2003. - Vol. 31, No 3. - Pp. 705-767.][Convergence Properties of the Nelder-MeadSimplex Method in Low Dimensions / J.C. Lagarias, J.A. Reeds, M.H. Wright, P.E. Wright // SIAM Journal on Optimization. - 1998. - Vol. 9, No 1. - Pp. 112-147.]