Abstract
Fitting a cubic smoothing spline is a typical smoothing method. This paper reveals a principle of duality in the penalized least squares regressions relating to the method. We also provide a number of results derived from them, some of which are illustrated by a real data example.
Funder
Japan Society for the Promotion of Science
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference21 articles.
1. SPLINE FUNCTIONS AND THE PROBLEM OF GRADUATION
2. Smoothing by spline functions
3. Nonparametric Regression and Generalized Linear Models: A roughness Penalty Approach;Green,1994
4. Generalized Additive Models: An Introduction with R;Wood,2017
5. Ridge Regression: Biased Estimation for Nonorthogonal Problems
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