gps

swMATH44080CRANgpsMaRDI QIDQ1349941

General P-Splines

Zheyuan Li

Last update: 2 November 2023

Copyright license: GNU General Public License, version 3.0

Software version identifier: 1.1, 1.0, 1.2

Source code repository: https://github.com/ZheyuanLi/gps-vignettes/blob/main/gps2.pdf

Description

General P-splines are non-uniform B-splines penalized by a general difference penalty, proposed by Li and Cao (2022) <arXiv:2201.06808>. Constructible on arbitrary knots, they extend the standard P-splines of Eilers and Marx (1996) <doi:10.1214/ss/1038425655>. They are also related to the O-splines of O'Sullivan (1986) <doi:10.1214/ss/1177013525> via a sandwich formula that links a general difference penalty to a derivative penalty. The package includes routines for setting up and handling difference and derivative penalties. It also fits P-splines and O-splines to (x, y) data (optionally weighted) for a grid of smoothing parameter values in the automatic search intervals of Li and Cao (2023) <doi:10.1007/s11222-022-10178-z>. It aims to facilitate other packages to implement P-splines or O-splines as a smoothing tool in their model estimation framework.

Cites work

• Flexible smoothing with B-splines and penalties
• A Statistical Perspective on Ill-Posed Inverse Problems
• Automatic search intervals for the smoothing parameter in penalized splines
• General P-Splines for Non-Uniform B-Splines

Described by source

• Automatic search intervals for the smoothing parameter in penalized splines

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