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Based on the results of weight function neural networks, the time complexity for a kind of neural network with rational spline functions is analyzed. We derive the complexity results by interpolation theories and algorithms. We find a linear relationship between the time complexity and the number of patterns. We also conclude that the time complexity is proportional to the input and output dimensions of the neural network. It shows that the results proposed in this paper have many potential applications. KEYWORD: Neural Network; Rational Spline Function; Weight Function; Time Complexity

The Time Complexity Analysis for a Kind of Neural Network with Rational Spline Functions