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多层前馈神经网络的误差特性分析
引用本文:杨良土,胡东成,罗予频,童诗白.多层前馈神经网络的误差特性分析[J].清华大学学报(自然科学版),1998(9).
作者姓名:杨良土  胡东成  罗予频  童诗白
作者单位:清华大学自动化系
基金项目:国家自然科学基金,国家教委高等学校博士学科基金
摘    要:为分析人工神经网络(ANN)的品质或性能对权值扰动及输入误差的容忍特性,文章基于输入及权值的随机模型,采用统计学的方法,得到了由sigmoid型神经元构成的任意多层前馈神经网络在任意大小且具有任意相关性的输入误差与/或权值扰动下,输出误差特性的通用算法。仿真及对比理论计算结果表明了所提算法是正确的。

关 键 词:前馈网络  sigmoid神经元  误差分析

Error feature analysis of multilayered feedforward neural networks
YANG Liangtu,HU Dongcheng,LUO Yupin,TONG Shibai.Error feature analysis of multilayered feedforward neural networks[J].Journal of Tsinghua University(Science and Technology),1998(9).
Authors:YANG Liangtu  HU Dongcheng  LUO Yupin  TONG Shibai
Institution:YANG Liangtu,HU Dongcheng,LUO Yupin,TONG Shibai Department of Automation,Tsinghua University,Beijing 100084,China
Abstract:The tolerance of qualities or performance of artificial neural networks (ANNs) to weight disturbance and input errors is studied. Based on a stochastic model for inputs and weights, and in view of the disturbance of arbitrarily correlative and large input and weight errors which may exist simultaneously, a general algorithm to obtain the output error feature of the multilayered feedforward neural networks composed of sigmoidal neurons is proposed by using statistical approach. The results of computer simulation and relative theoretical computation indicate that the proposed algorithm is correct.
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