Robust univariate spline models for interpolating interval data
Averbakh, Igor1; Zhao, Yun-Bin2,3
AbstractWe 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.
KeywordUncertainty modeling Interval data Piecewise polynomial interpolation Spline function Semi-infinite convex optimization
Funding ProjectNatural Sciences and Engineering Research Council of Canada (NSERC) ; National Natural Science Foundation of China[10671199] ; National Natural Science Foundation of China[70221001]
WOS Research AreaOperations Research & Management Science
WOS SubjectOperations Research & Management Science
WOS IDWOS:000287348600014
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Document Type期刊论文
Corresponding AuthorAverbakh, Igor
Affiliation1.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
Recommended Citation
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.
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