{"title":"利用遗传算法设计函数逼近器","authors":"M. Ahmed, K. DeJong","doi":"10.1109/ICEC.1997.592365","DOIUrl":null,"url":null,"abstract":"The approximation of a mathematical function (using examples in the form of input-output pairs) is a central issue in subjects as diverse as pattern recognition, control theory and statistics. In this paper, we propose an approach for designing a universal function approximator based on a combination of trigonometric and polynomial functions using genetic algorithms (GAs). We performed some experiments using our proposed approach and compared the results to several existing approaches. The results were promising in that the proposed approach was found to be superior to the other approaches in approximating a variety of test functions.","PeriodicalId":167852,"journal":{"name":"Proceedings of 1997 IEEE International Conference on Evolutionary Computation (ICEC '97)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Function approximator design using genetic algorithms\",\"authors\":\"M. Ahmed, K. DeJong\",\"doi\":\"10.1109/ICEC.1997.592365\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The approximation of a mathematical function (using examples in the form of input-output pairs) is a central issue in subjects as diverse as pattern recognition, control theory and statistics. In this paper, we propose an approach for designing a universal function approximator based on a combination of trigonometric and polynomial functions using genetic algorithms (GAs). We performed some experiments using our proposed approach and compared the results to several existing approaches. The results were promising in that the proposed approach was found to be superior to the other approaches in approximating a variety of test functions.\",\"PeriodicalId\":167852,\"journal\":{\"name\":\"Proceedings of 1997 IEEE International Conference on Evolutionary Computation (ICEC '97)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1997-04-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 1997 IEEE International Conference on Evolutionary Computation (ICEC '97)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICEC.1997.592365\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 1997 IEEE International Conference on Evolutionary Computation (ICEC '97)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEC.1997.592365","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Function approximator design using genetic algorithms
The approximation of a mathematical function (using examples in the form of input-output pairs) is a central issue in subjects as diverse as pattern recognition, control theory and statistics. In this paper, we propose an approach for designing a universal function approximator based on a combination of trigonometric and polynomial functions using genetic algorithms (GAs). We performed some experiments using our proposed approach and compared the results to several existing approaches. The results were promising in that the proposed approach was found to be superior to the other approaches in approximating a variety of test functions.