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Deterministic Convergence of an Online Gradient Method for BP Neural Networks

IEEE Transactions on Neural NetworksPublished 1 May 2005
Wei Wu, Guofang Feng, Zheng Li, Ying Xu
Citations157

TL;DR

This paper proves a convergence theorem for an online gradient method with variable step size for backward propagation neural networks with a hidden layer that has a deterministic and monotone nature.

Abstract

Online gradient methods are widely used for training feedforward neural networks. We prove in this paper a convergence theorem for an online gradient method with variable step size for backward propagation (BP) neural networks with a hidden layer. Unlike most of the convergence results that are of probabilistic and nonmonotone nature, the convergence result that we establish here has a deterministic and monotone nature.

Keywords

Computer SciencePhysics and Astronomy