中国科学院机构知识库网格系统: A note on the extended Rosenbrock function

A note on the extended Rosenbrock function

文献类型：期刊论文


作者	Shang, YW; Qiu, YH
刊名	EVOLUTIONARY COMPUTATION
出版日期	2006-03-01
卷号	14 期号:1 页码:119-126
关键词	numerical optimization problems benchmark function multimodal function local minimum
英文摘要	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.
WOS标题词	Science & Technology ; Technology
类目[WOS]	Computer Science, Artificial Intelligence ; Computer Science, Theory & Methods
研究领域[WOS]	Computer Science
关键词[WOS]	OPTIMIZATION
收录类别	SCI
语种	英语
WOS记录号	WOS:000236046800008
公开日期	2015-12-24
源URL	[http://ir.ia.ac.cn/handle/173211/9228]
专题	自动化研究所_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.

入库方式： OAI收割

来源：自动化研究所

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A note on the extended Rosenbrock function

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