{"title":"全局优化的螺旋多点搜索","authors":"K. Tamura, K. Yasuda","doi":"10.1109/ICMLA.2011.131","DOIUrl":null,"url":null,"abstract":"Metaheuristics is a framework of practical methods for global optimization problems. We recently proposed a new metaheuristics method inspired from spiral phenomena in nature which is called spiral optimization. However, the spiral optimization was restricted to 2-dimensional continuous optimization problems. In this paper, we develop a spiral optimization method for n-dimensional continuous optimization problems by constructing an n-dimensional spiral model. The n-dimensional spiral model is designed using rotation matrices in n-dimensional space. Simulation results for different benchmark problems show the effectiveness of our proposal compared to PSO and DE.","PeriodicalId":439926,"journal":{"name":"2011 10th International Conference on Machine Learning and Applications and Workshops","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"29","resultStr":"{\"title\":\"Spiral Multipoint Search for Global Optimization\",\"authors\":\"K. Tamura, K. Yasuda\",\"doi\":\"10.1109/ICMLA.2011.131\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Metaheuristics is a framework of practical methods for global optimization problems. We recently proposed a new metaheuristics method inspired from spiral phenomena in nature which is called spiral optimization. However, the spiral optimization was restricted to 2-dimensional continuous optimization problems. In this paper, we develop a spiral optimization method for n-dimensional continuous optimization problems by constructing an n-dimensional spiral model. The n-dimensional spiral model is designed using rotation matrices in n-dimensional space. Simulation results for different benchmark problems show the effectiveness of our proposal compared to PSO and DE.\",\"PeriodicalId\":439926,\"journal\":{\"name\":\"2011 10th International Conference on Machine Learning and Applications and Workshops\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-12-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"29\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 10th International Conference on Machine Learning and Applications and Workshops\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICMLA.2011.131\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 10th International Conference on Machine Learning and Applications and Workshops","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMLA.2011.131","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Metaheuristics is a framework of practical methods for global optimization problems. We recently proposed a new metaheuristics method inspired from spiral phenomena in nature which is called spiral optimization. However, the spiral optimization was restricted to 2-dimensional continuous optimization problems. In this paper, we develop a spiral optimization method for n-dimensional continuous optimization problems by constructing an n-dimensional spiral model. The n-dimensional spiral model is designed using rotation matrices in n-dimensional space. Simulation results for different benchmark problems show the effectiveness of our proposal compared to PSO and DE.