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Convergence of Online Gradient Method with Penalty for BP Neural Networks
Authors:Shao Hong-mei  Wu Wei  Liu Li-jun
Institution:1. College of Mathematics and Computational Science;China University of Petroleum;Dongying;Shandong;257061;2. Department of Applied Mathematics;Dalian University of Technology;Dalian;Liaoning;116024;3. Department of Mathematics;Dalian Nationalities University;116605
Abstract:Online gradient method has been widely used as a learning algorithm for training feedforward neural networks. Penalty is often introduced into the training procedure to improve the generalization performance and to decrease the magnitude of network weights. In this paper,some weight boundedness and deterministic convergence theorems are proved for the online gradient method with penalty for BP neural network with a hidden layer,assuming that the training samples are supplied with the network in a fixed orde...
Keywords:convergence  online gradient method  penalty  monotonicity  
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