Spatially adaptive smoothing splines

被引：40

作者：

Pintore, A

Speckman, P

Holmes, CC

机构：

[1] Univ Oxford, Dept Stat, Oxford OX1 3TG, England

[2] Univ Missouri, Dept Stat, Columbia, MO 65211 USA

来源：

BIOMETRIKA | 2006年 / 93卷 / 01期

关键词：

curve fitting; generalised crossvalidation; smoothing spline; spatial adaption; spline;

D O I：

10.1093/biomet/93.1.113

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We use a reproducing kernel Hilbert space representation to derive the smoothing spline solution when the smoothness penalty is a function lambda(t) of the design space t, thereby allowing the model to adapt to various degrees of smoothness in the structure of the data. We propose a convenient form for the smoothness penalty function and discuss computational algorithms for automatic curve fitting using a generalised crossvalidation measure.

引用

页码：113 / 125

页数：13

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