|本期目录/Table of Contents|

[1]张逾傲,胡觉亮.随机径向基函数神经网络的收敛性分析[J].浙江理工大学学报,2019,41-42(自科六):835-840.
　ZHANG Yuao,HU Jueliang.Convergence analysis of stochastic radial basis function neural networks[J].Journal of Zhejiang Sci-Tech University,2019,41-42(自科六):835-840.
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随机径向基函数神经网络的收敛性分析()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第41-42卷
期数:
2019年自科六期
页码:
835-840
栏目:
出版日期:
2019-10-31

文章信息/Info

Title:
Convergence analysis of stochastic radial basis function neural networks
文章编号:
1673-3851 (2019) 11-0835-06
作者:
张逾傲; 胡觉亮
浙江理工大学理学院，杭州 310018
Author(s):
ZHANG Yuao;  HU Jueliang
School of Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China
关键词:
神经网络; 蒙特卡罗方法; 收敛性分析; 连续函数; 径向基函数; 随机径向基函数
分类号:
TP391
文献标志码:
A
摘要:
为了探究随机径向基函数神经网络的函数逼近能力，运用随机权重前馈神经网络收敛性分析的方法对其进行收敛性分析。首先利用广义δ函数的性质构建一个被近似函数的极限积分表达式；其次用蒙特卡罗方法计算这个表达式中的积分，证明随机径向基函数神经网络可以逼近任意连续函数。同时，从理论上分析了随机径向基函数神经网络的收敛特性，发现其收敛误差随着隐藏层神经元节点的增加而逐渐减少，表明其是一个高效的函数逼近器，并且具有处理大数据问题的潜力。

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期：2019-06-24
网络出版日期： 2019-10-08
基金项目：国家自然科学基金项目（11771393）
作者简介：张逾傲(1994-)，男，浙江龙泉人，硕士研究生，主要从事神经网络方面的研究
通信作者：胡觉亮，E-mail：hujlhz@163.com
更新日期/Last Update: 2019-11-25