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两输入幂激励前向神经网络权值与结构确定

张雨浓 劳稳超 余晓填 李钧

计算机工程与应用2012,Vol.48Issue(15):102-106,122,6.
计算机工程与应用2012,Vol.48Issue(15):102-106,122,6.DOI:10.3778/j.issn.1002-8331.2012.15.022

两输入幂激励前向神经网络权值与结构确定

Weights and structure determination of two-input power-activation feed-forward neural network

张雨浓 1劳稳超 2余晓填 1李钧1

作者信息

  • 1. 中山大学 信息科学与技术学院,广州 510006
  • 2. 中山大学深圳研究院,广东深圳 518057
  • 折叠

摘要

Abstract

Based on the theory of multivariate function approximation and two-variable power series expansion, a Two-Input Power-Activation feed-forward Neural Network (TIPANN) model is constructed and studied, of which the hidden-layer neurons' activation-functions are a sequence of power functions with two variables. Moreover, based on the weights-direct-determination method and the relationship between the number of hidden-layer neurons and the neural network's approximation error, a Weights-And-Structure-Deterraination(WASD) algorithm is proposed to determine the optimal number of hidden-layer neurons of the TIPANN. Computer simulation and numerical verification results further substantiate the superiority of the TIPANN in terms of approximation and denoising, as well as the efficacy and accuracy of the proposed WASD algorithm to determine the weights and the optimal structure of the TIPANN.

关键词

权值与结构确定算法/二元幂级数展开/两输入幂激励前向神经网络/最优结构/权值直接确定法

Key words

Weights-And-Structure-Deterrnination( WASD) algorithm/two-variable power series expansion/two-input power-activation feed-forward neural network/optimal structure/weights-direct-determination method

分类

信息技术与安全科学

引用本文复制引用

张雨浓,劳稳超,余晓填,李钧..两输入幂激励前向神经网络权值与结构确定[J].计算机工程与应用,2012,48(15):102-106,122,6.

基金项目

国家自然科学基金(No.61075121,No.60935001) (No.61075121,No.60935001)

中央高校基本科研业务费专项资金. ()

计算机工程与应用

OACSCDCSTPCD

1002-8331

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