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A note on the extended Rosenbrock function | |
Shang, YW; Qiu, YH | |
发表期刊 | EVOLUTIONARY COMPUTATION |
2006-03-01 | |
卷号 | 14期号:1页码:119-126 |
文章类型 | Article |
摘要 | The Rosenbrock function is a well-known benchmark for numerical optimization problems, which is frequently used to assess the performance of Evolutionary Algorithms. The classical Rosenbrock function, which is a two-dimensional unimodal function, has been extended to higher dimensions in recent years. Many researchers take the high-dimensional Rosenbrock function as a unimodal function by instinct. In 2001 and 2002, Hansen and Deb found that the Rosenbrock function is not a unimodal function for higher dimensions although no theoretical analysis was provided. This paper shows that the n-dimensional (n = 4 similar to 30) Rosenbrock function has 2 minima, and analysis is proposed to verify this. The local minima in some cases are presented. In addition, this paper demonstrates that one of the "local minima" for the 20-variable Rosenbrock function found by Deb might not in fact be a local minimum. |
关键词 | Numerical Optimization Problems Benchmark Function Multimodal Function Local Minimum |
WOS标题词 | Science & Technology ; Technology |
关键词[WOS] | OPTIMIZATION |
收录类别 | SCI |
语种 | 英语 |
WOS研究方向 | Computer Science |
WOS类目 | Computer Science, Artificial Intelligence ; Computer Science, Theory & Methods |
WOS记录号 | WOS:000236046800008 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.ia.ac.cn/handle/173211/9228 |
专题 | 09年以前成果 |
作者单位 | Chinese Acad Sci, Inst Automat, Lab Complex Syst & Intelligence Sci, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Shang, YW,Qiu, YH. A note on the extended Rosenbrock function[J]. EVOLUTIONARY COMPUTATION,2006,14(1):119-126. |
APA | Shang, YW,&Qiu, YH.(2006).A note on the extended Rosenbrock function.EVOLUTIONARY COMPUTATION,14(1),119-126. |
MLA | Shang, YW,et al."A note on the extended Rosenbrock function".EVOLUTIONARY COMPUTATION 14.1(2006):119-126. |
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