In this paper, a stochastic polynomial tone model is presented for tone modeling in continuous mandarin speech. In this model, the pitch contour is described by a stochastic trajectory. The mean trajecotyr is represented by a polynomial function of normalized time while the variance is time varying. After that, an effective trainign and recognition algorithm is developed respectively. Also the problem of missing observation is discussed. Decision tree is employed to cluster the tone pattern variations, which are represented by proposed model. Many possible factors other than tone of neighboring syllables were taen into consideration when the decision tree was constructed. The experimetns result shows that the tone recognition speed can increase more than 10 times while the recognition error rates decreased by 16
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