BP learning and numerical algorithm of dynamic systems

Authors:
Jiuzhen Liang;Hong Jiang
Affiliations:
College of Information Science and Engineering, Zhejiang Normal University, Jinhua, China;College of Information Science and Engineering, Zhejiang Normal University, Jinhua, China
Venue:
AI'05 Proceedings of the 18th Australian Joint conference on Advances in Artificial Intelligence
Year:
2005

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Abstract

This paper deals with relationship between BP learning for neural networks and numerical algorithm of differential equations. It is proposed that the iteration formula of BP algorithm is equivalent to Euler method of differential dynamic system under certain conditions, and the asymptotic solutions of the two formulas are consistent. It is also proved in theoretic that asymptotic solutions given by BP algorithm are equivalent to that computed by any numerical method for differential dynamic systems under certain conditions. Also, an example to train the BP network by modified numerical method is presented.