{"title":"The best approximation to C/sup 2/ functions and its error bounds using regular-center Gaussian networks","authors":"Binfan Liu, J. Si","doi":"10.1109/ICNN.1994.374595","DOIUrl":null,"url":null,"abstract":"Gaussian neural networks are considered to approximate any C/sup 2/ function with support on the unit hypercube I/sub m/=[0,1]/sup m/ in the sense of best approximation. An upper bound (0(N/sup -2/)) of the approximation error is obtained in the present paper for a Gaussian network having N/sup m/ hidden neurons with centers defined on a regular mesh in I/sub m/.<<ETX>>","PeriodicalId":209128,"journal":{"name":"Proceedings of 1994 IEEE International Conference on Neural Networks (ICNN'94)","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 1994 IEEE International Conference on Neural Networks (ICNN'94)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICNN.1994.374595","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6
Abstract
Gaussian neural networks are considered to approximate any C/sup 2/ function with support on the unit hypercube I/sub m/=[0,1]/sup m/ in the sense of best approximation. An upper bound (0(N/sup -2/)) of the approximation error is obtained in the present paper for a Gaussian network having N/sup m/ hidden neurons with centers defined on a regular mesh in I/sub m/.<>
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