{"title":"局部进化搜索中的若干问题","authors":"H. Voigt","doi":"10.1109/CEC.1999.782012","DOIUrl":null,"url":null,"abstract":"We consider the very simple problem of optimizing a stationary unimodal function over R/sup n/ without using analytical gradient information. There exist numerous algorithms from mathematical programming to evolutionary algorithms for this problem. We have a closer look at advanced evolution strategies (GSA, CMA), the evolutionary gradient search algorithm (EGS), local search enhancement by random memorizing (LSERM), and the simple (1+1)-evolution strategy. These approaches show different problem-solving capabilities for different test functions. We introduce different measures which reflect certain aspects of what might be seen as the problem difficulty. Based on these measures it is possible to characterize the weak and strong points of the approaches which may lead to even more advanced algorithms.","PeriodicalId":292523,"journal":{"name":"Proceedings of the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99TH8406)","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"On some difficulties in local evolutionary search\",\"authors\":\"H. Voigt\",\"doi\":\"10.1109/CEC.1999.782012\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider the very simple problem of optimizing a stationary unimodal function over R/sup n/ without using analytical gradient information. There exist numerous algorithms from mathematical programming to evolutionary algorithms for this problem. We have a closer look at advanced evolution strategies (GSA, CMA), the evolutionary gradient search algorithm (EGS), local search enhancement by random memorizing (LSERM), and the simple (1+1)-evolution strategy. These approaches show different problem-solving capabilities for different test functions. We introduce different measures which reflect certain aspects of what might be seen as the problem difficulty. Based on these measures it is possible to characterize the weak and strong points of the approaches which may lead to even more advanced algorithms.\",\"PeriodicalId\":292523,\"journal\":{\"name\":\"Proceedings of the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99TH8406)\",\"volume\":\"17 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-07-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99TH8406)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CEC.1999.782012\",\"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 the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99TH8406)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CEC.1999.782012","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We consider the very simple problem of optimizing a stationary unimodal function over R/sup n/ without using analytical gradient information. There exist numerous algorithms from mathematical programming to evolutionary algorithms for this problem. We have a closer look at advanced evolution strategies (GSA, CMA), the evolutionary gradient search algorithm (EGS), local search enhancement by random memorizing (LSERM), and the simple (1+1)-evolution strategy. These approaches show different problem-solving capabilities for different test functions. We introduce different measures which reflect certain aspects of what might be seen as the problem difficulty. Based on these measures it is possible to characterize the weak and strong points of the approaches which may lead to even more advanced algorithms.