Abstract

The cross validation mean square error technique is used to determine the correct degree of smoothing, in fitting smoothing solines to discrete, noisy observations from some unknown smooth function. Monte Cario results snow amazing success in estimating the true smooth function as well as its derivative.

Keywords

Cross-validationCurve fittingSmoothing splineSpline (mechanical)MathematicsComputer scienceAlgorithmArtificial intelligenceStatisticsEngineeringSpline interpolationStructural engineering

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Publication Info

Year
1975
Type
article
Volume
4
Issue
1
Pages
1-17
Citations
366
Access
Closed

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Grace Wahba, Svante Wold (1975). A completely automatic french curve: fitting spline functions by cross validation. Communications in Statistics , 4 (1) , 1-17. https://doi.org/10.1080/03610927508827223

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DOI
10.1080/03610927508827223