层次泛函网络整体学习算法.pdfVIP

计 第 28 卷第8 期 算 机 学 报 Vol. 28 No. 8 2005 年 8 月 CHINESE ]OURNAL OF CO鸟在PUTERS Aug. 2005 层次泛函网络整体学习算法 周永权υ 焦李成 D(西安电子科技大学害能信且娃理研究所 西安 71007 1) ，，(广西民族学院计算机与信息科学学院 南宁 530006) 摘 要 文中设计了一类单输入单输出泛函网络与双输入单输出泛函网络作为构造层次泛函网络基本模型，提出 了一种层次泛函网络模型，给出了层次泛函网络构造方法和整体学习算法，而层次泛函网络的参数利用解方程组 来进行逐层学习.以非线性代数方程组为例，指出人们熟知的一些数学解题方法可以用层次泛函网络来表达，探讨 了基于层次泛函网络求解非线性代数方程组学习算法实现的一些技术问题.相对传统方法，层次泛函网络更适合 于具有层次结构的应用领域.计算机仿真结果表明，这种层次学习方法具有较快的收敛速度和良好的逼近性能. 关键词 函数变换§泛函网络s 层次泛函网络$整体学习算法;非线性代数方程组 中图法分类号 TP18 Universal Learning Algorithm of Hierarchical Function Networks ZHOU Yong-Quan 幻]IAO Li-Cheng 1) (lnstitute 01 Intelligence InformatiDu Proæssing. Xidian Uni1.JersilY , Xian 71007 1) 2) (College of Comρuter and lnforn咀归。n Science ,Guangxi Uni白rsity for Nationalities , Nanning 530006) Abstract In this paper , a kind of function networks with single input and single output and function network with double inputs and single output as basis functional network model is de- signed , and a new hierarchical functional network is presented. The universallearning algorithm and construction method hîerarchical functÌon networks is given. Fìnal1y , a typical example of ap plication declared that the hierarchical function networks can be regarded as a kind of visualization means of some mathematical methods , based on hierarchical functÎon network for solving nonlin ear algebraic equation system , researches are made in some technical problems for realizing algo- rithm. The results show that hierarchical functional network is very suita