Abstract：A formalism framework for the temporal rule is proposed to define the main concepts used in the rule induction. The concept of the linear state structure allows each state to associate with a symbol of the restricted firstorder language and measure the truth range of a formula. Thus the measure sequence with coherent properties is generated. The novelty of the temporal rules is testified by using dynamic time warping distance. The diffusion estimation algorithm applicable to the small sample is proposed to calculate the parameters of measure sequence. Experimental results show effectiveness, robustness and simplicity of the proposed method.
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2007, Vol. 20 
