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Proceedings of 2009 International Workshop on Information Security and Application (IWISA 2009)

Qingdao, China, November 21-22, 2009

Editors: Feng Gao and Xijun Zhu

AP Catalog Number: AP-PROC-CS-09CN004

ISBN: 978-952-5726-06-0

Page(s): 678-682

The Neural Network Based on Three Degree u System

Wuyi Fan, Fenhong Guo, and Jinhong Li

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Artificial Neural Network (ANN) is a new kind of computing system with the capacity of self-study, which is widely used in many areas, such as pattern recognition, function approximation and credit risk assessment, etc. BP Network is commonly used in a number of occasions, as it can approach arbitrary non-linear curve. But the speed of convergence is slow, the training time is long, and it often fall into local minimum points in BP network. Because of the shortcomings of BP network, the promotion of BP network is limited. In order to overcome those shortcomings, a new neural network based on three degree U system is proposed in this text. In the arithmetic three degree U orthogonal polynomials is as the activation functions of every hidden neuron in the neural network, and then a new U3 neural network is constructed. Experimental results show that the new network is obviously superior to BP network and Chebyshev network, it can approach original curve rapidly in a short time, and get a better approximation result at the inflection point.

Index Terms

The Basic Concept and Composition of Neural Networks, U System and Its Properties, A Neural Network Modeling of U3, Simulation results, Conclusions, Acknowledgment, References

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