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个人信息Personal Information
教授
博士生导师
硕士生导师
性别:男
毕业院校:英国牛津大学数学所
学位:博士
所在单位:数学科学学院
学科:计算数学
电子邮箱:wuweiw@dlut.edu.cn
Deterministic convergence of conjugate gradient method for feedforward neural networks
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论文类型:期刊论文
发表时间:2011-07-01
发表刊物:NEUROCOMPUTING
收录刊物:Scopus、SCIE、EI
卷号:74
期号:14-15
页面范围:2368-2376
ISSN号:0925-2312
关键字:Deterministic convergence; Conjugate gradient; Backpropagation; Feedforward neural networks
摘要:Conjugate gradient methods have many advantages in real numerical experiments, such as fast convergence and low memory requirements. This paper considers a class of conjugate gradient learning methods for backpropagation neural networks with three layers. We propose a new learning algorithm for almost cyclic learning of neural networks based on PRP conjugate gradient method. We then establish the deterministic convergence properties for three different learning modes, i.e., batch mode, cyclic and almost cyclic learning. The two deterministic convergence properties are weak and strong convergence that indicate that the gradient of the error function goes to zero and the weight sequence goes to a fixed point, respectively. It is shown that the deterministic convergence results are based on different learning modes and dependent on different selection strategies of learning rate. Illustrative numerical examples are given to support the theoretical analysis. (C) 2011 Elsevier B.V. All rights reserved.