A note on the extended Rosenbrock function

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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	被引频次：223[WOS] [WOS记录] [WOS相关记录]
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.