多层人工神经网络合理结构的确定方法

隐层结构如何选择是多层人工神经网络应用中一个关键问题·基于多层神经网络优化算法原理和非线性方程理论,建立了多层神经网络计算输出和理想输出关系的非线性方程组,分析了权阈变量、标准样本数量和输出层单元数量的内在关系,给出隐层层数和每个隐层单元数量选取应该满足的基本条件·提出多层神经网络合理结构,即隐层层数和每个隐层单元数量选取的一般原则,给出隐层结构定量求解的直接计算方法和间接优化计算方法·对具体算例进行了合理结构分析,通过神经网络优化算法对多种结构组合比较,表明所提出的合理结构分析方法的正确性·这种方法将为多层神经网络在工程应用中如何选取合理结构提供理论依据和选取有效方法·

Rational Structure of Multi-Layer Artificial Neural Network

Selecting rational hidden structure is very important question on multi-layer neural network in application. Applying optimum algorithm of neural network and algebra equation theory, nonlinear equations, expressing the relationships between computing output and ideal output of neural network were developed. The immanent connection of weights and threshold variables, standard sample numbers and node numbers of output layer are suggested. Hidden structure basis equation is given. A kind of analyzing method of rational construct of multi-layer neural network is proposed. Direct and indirect computing method were studied to compute quantitatively the numbers of hidden layers and the unit numbers per hidden layer. The analysis validity was showed through comparison of rational structure with various passible structures of neural network examples.