Robust univariate spline models for interpolating interval data

doi:10.1016/j.orl.2010.11.008

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	Robust univariate spline models for interpolating interval data
	Averbakh, Igor 1; Zhao, Yun-Bin 2,3
	2011
发表期刊	OPERATIONS RESEARCH LETTERS
ISSN	0167-6377
卷号	39 期号:1 页码:62-66
摘要	We consider spline interpolation problems where information about the approximated function is given by means of interval estimates for the function values over ranges of x-values instead of specific knots. We propose two robust uniyariate spline models formulated as convex semi-infinite optimization problems. We present simplified equivalent formulations of both models as finite explicit convex optimization problems for splines of degrees up to 3. This makes it possible to use existing convex optimization algorithms and software. (C) 2010 Elsevier B.V. All rights reserved.
关键词	Uncertainty modeling Interval data Piecewise polynomial interpolation Spline function Semi-infinite convex optimization
DOI	10.1016/j.orl.2010.11.008
语种	英语
资助项目	Natural Sciences and Engineering Research Council of Canada (NSERC) ; National Natural Science Foundation of China[10671199] ; National Natural Science Foundation of China[70221001]
WOS研究方向	Operations Research & Management Science
WOS类目	Operations Research & Management Science
WOS记录号	WOS:000287348600014
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11366
专题	中国科学院数学与系统科学研究院
通讯作者	Averbakh, Igor
作者单位	1.Univ Toronto Scarborough, Dept Management, Toronto, ON M1C 1A4, Canada 2.Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England 3.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Averbakh, Igor,Zhao, Yun-Bin. Robust univariate spline models for interpolating interval data[J]. OPERATIONS RESEARCH LETTERS,2011,39(1):62-66.
APA	Averbakh, Igor,&Zhao, Yun-Bin.(2011).Robust univariate spline models for interpolating interval data.OPERATIONS RESEARCH LETTERS,39(1),62-66.
MLA	Averbakh, Igor,et al."Robust univariate spline models for interpolating interval data".OPERATIONS RESEARCH LETTERS 39.1(2011):62-66.