Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of China University of Metrology》 2011-01
Add to Favorite Get Latest Update

Approximation of continuous functions by a class of neural network

GAO Qi-qi,XIE Ting-fan(College of Science,China Jiliang University,Hangzhou 310018,China)  
Discussed the approximation of continuous functions by the feed-forward artificial neural network with a tool of convolution approximation,which approximating the continuous function f(X) ind is the estimation error is O{ω{f,n-1d+2}+n-1d+2‖f‖∞}.Where ω(f,δ) is the continuity modulus of f(X) in d and ‖f‖∞ is the maximum of |f(X)|.
【CateGory Index】: O174.41
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【Citations】
Chinese Journal Full-text Database 3 Hits
1 Liu PuyinDept. of Math., National Univ. of Defence Technology,Changsha 410073;Dept. of Math., Beijing Normal Univ.,Beijing 100875.;APPROXIMATION CAPABILITIES OF MULTILAYER FEEDFORWARD REGULAR FUZZY NEURAL NETWORKS[J];高校应用数学学报B辑(英文版);2001-01
2 HOU Min,CAO Fei-long(Department of Information and Mathematics Sciences,China Jiliang University,Hangzhou 310018,China);Approximation by a class of neural networks to integrable function[J];Journal of China Jiliang University;2007-02
3 SHU Heng,XIE Ting-fan(College of Sciences,China Jiliang University,Hangzhou 310018,China);Degree of approximation to a function in C() by neural network[J];Journal of China University of Metrology;2009-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Yi Jikai; Chen Shuangye; Wang Lin(Department of Automation, Beijing Polytechnic University, Beijing, 100022);The Application of Fuzzy Neural Networks to the Temperature Control System[J];Journal of Beijing Polytechnic University;1999-02
2 LI Yu-jian, WANG Shou-jue (1. Beijing Municipal Key Laboratory of Multimedia and Intelligent Software Technology, College of Computer Science, Beijing University of Technology, Beijing 100022, China; 2.Lab of Artificial Neural Networks, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China );Direction-basis-function Neural Network and Its Approximation Capabilities[J];Journal of Beijing Polytechnic University;2003-03
3 Chen Debao (University of Texas at Austin,USA);DEGREE OF APPROXIMATION BY SUPERPOSITIONS OF A SIGMOIDAL FUNCTION[J];逼近论及其应用(英文版);1993-03
4 Li Yong 1) Guo Ping 2) ( 1)Department of Mathematics, 2)College of Information Science:Beijing Normal University, 100875, Beijing, China);CAPABILITIES OF A THREE-LAYER FEEDFORWARD NEURAL NETWORK WITH NONLINEAR ACTIVATE FUNCTION[J];Journal of Beijing Normal University(Natural Science);2001-05
5 ZHANG Ju-qing,NIE Jian-liang,YANG Shu-jing(School of Geology Engineering and Geomatics,Chang'an University,Xi'an 710054,China);The BP neural network method for errors correction in digital maps[J];Science of Surveying and Mapping;2008-03
6 Wang Dianhui Wang Guoteng Zhou Yiwu ( Institute of Intelliaent Control. Dalian Maritime Universitv 116026);A Study on Neural PH Value Measurement' Instrument for Industrial Processes[J];Journal of Test and Measurement Technology;1998-03
7 SHI Shi-liang~(1,2),TANG Guang-fa~1,HE Li-wen~2(1. Civil Engineering Postdoctoral Station, Hunan University, Changsha 410082,China;2. School of Energy and Safety Engineering, Hunan University of Science and Technology, Xiangtan 411201,China);Predicting model and its application to building fire based on wavelet neural network theory[J];;2005-02
8 CAI Fang-kai~1,ZHANG Song~1,DONG Kai-ning~2 (1.Chengdu Electromechanical College,Chengdu 610031,China; 2.School of Electronic Information,Sichuan University,Chengdu 610064,China);Circuit Synthesis Method of a Wavelet Function[J];Telecommunication Engineering;2008-03
9 XIAO Zhi-huai ZHENG Ying-xia WANG Jun-sheng (Wuhan University,Wuhan 430072,China);Treatment of Failure Parameters of Sluice Integrated Automation System Using RBF Neural Network[J];Dam Observation and Geotechnical Tests;2005-06
10 (Wang Yingjie), (LiuCai), (The College of Mechanical Engineering, YanshanUniversity, Qinhuangdao 066004).(Wang Yinghua), (Xinjiang Tebian Electric Apparatus Stock Co.Ltd., Changji 831100).;Quick BP Algorithm Used in Multilayer Neural Network[J];Journal of Yanshan University;2002-03
China Proceedings of conference Full-text Database 10 Hits
1 LI Sheng (Institute of Intelligent Information Engineering, Zhejiang University, Hangzhou 310027, China) LI Minqiang (Guangzhou Begol Trading Corporation, Guangzhou 510170, China) and HU Shangxu (Institute of Intelligent Information Engineering, Zhejiang University, Hangzhou 310027, China);Prediction Model for the Amount of Gas Emission from Coalface Based on Fuzzy Neural Network[A];[C];2002
2 Rigui Zhou 1 Duan Bin 2 Aiqiu Nie 3(1.Department of Computer Science and Technology,Nanjing University of Aeronautics and Astronautics,Nanjing,Jiangsu,210016,China2.Fire-fighting Detachment,Dongying,Shandong,250014,China 3.Jiangxi Provincial Communication Design Institute,Nanchang,P.R.China.330002);A Neural Networks Based on Hermite Polynomial Functions[A];[C];2007
3 XIAO Ying,LI Zhen-xing,LIU Guo-zhi,ZHANG Lin-bo (School of Underwater Acoustics Engineering,Harbin Engineering University,Harbin 150001,China);Research on Dual-mode FNN Blind Equalization Algorithm[A];[C];2005
4 Ming Li College of Power Engineering,Nanjing University of Science & Technology Nanjing,210094,China Cheng-wu Yang College of Power Engineering,Nanjing University of Science & Technology Nanjing,210094,China;Nonlinear System Identification Using DAFNN[A];[C];2006
5 Lin Peiqun, Xu Jianmin, Fu Hui, Liang Junbin (College of Traffic and Communication, South China Univ. of Tech., Guangzhou 510640);Vehicle Classification based on Multi-branch BP Neural Network[A];[C];2005
6 Meng Joo Er and Fan Liu School of Electrical and Electronic Engineering,Nanyang Technological University,Singapore 639798;Genetic Algorithms for MLP Neural Network Parameters Optimization[A];[C];2009
7 JIA Li~1,SHI Jiping~1,SONG Yang,~1,CHIU Min-Sen~2 1.Shanghai Key Laboratory of Power Station Automation Technology,Department of Automation,College of Mechatronics Engineering and Automation,Shanghai University,Shanghai 200072,China 2.Faculty of Engineering,National University of Singapore,Singapore;A Novel Neuro-Fuzzy Model-Based Run-to-run Control for Batch Processes with Uncertainties[A];[C];2009
8 WU Qing, WANG Yong-ji (Dept. of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074);Neural state space model based approximate pole assignment control for nonlinear systems[A];[C];2002
9 Li Chuntao Tan Yonghong A0 103021, Department of Automation,Shanghai Jiaotong University.Shanghai 200030,PR.China Guilin University of Electronic Technology.Guilin 541000,P.R.China;Identification for Hysteresis System Using Neural Networks[A];[C];2003
10 Chen Shixue Yu Naigong Ruan Xiaogang (Electronic Information and Control Engineering School,Beijing University of Technology, Beijing, 100022);The application of RBFnets to forecast the thickness of thalli in penicillin production[A];[C];2003
【Secondary Citations】
Chinese Journal Full-text Database 5 Hits
1 Liu Puyin;Wang Huaxing(Dept.of System Engineering and Math,National Univ.of Defense Techn., Changsha 410073);Universal Approximation of a Class of Continuous Fuzzy Valued Functions by Regular Fuzzy Neural Networks[J];Acta Electronica Sinica;1997-11
2 CHEN Tian-Ping(Institute of Mathematics, Fudan University, Shanghai 200433, PRC);Approximation Problems in System Identification With Neural Networks[J];中国科学A辑(英文版);1994-04
3 LIU Puyin and WANG Hao (Department of System Engineering and Mathematics, National University of Defence Technology, Changsha 410073, China);Approximation capability of regular fuzzy neural networks to continuous fuzzy functions[J];中国科学(E辑:技术科学)(英文版);1999-02
4 Sun Xiehua (Division of Fundamental Sciences);A Note on Simultaneous Approximation by Bernstein Type Interpolation Process[J];Journal of China Jiliang University;1992-02
5 Xie Ting-Fan;Zhou Song-Ping (China institute of metrology) (University of Alberta,Canada);THE RATE OF APPROXIMATION AND THE DIFFERENTIABILITY OF A FUNCTION[J];JOURNAL OF CHINA INSTITUTE OF METROLOGY;1994-02
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved