Parallel MARS algorithm based on B-splines
type: Item
instance of: scholarly article
title: Parallel MARS algorithm based on B-splines
zbMATH Open document ID: 1038.65008
author: Markus Hegland
author: Michael R. Osborne
author: S. Bakin
published in: Computational Statistics
publication date: 2004-03-16T00:00:00Z
review text: The authors introduce a modification of \textit{J. H. Friedman}'s multivariate adaptive regression splines (MARS) algorithm [Ann. Stat., 19, 1--141 (1991; Zbl 0765.65064)] designed for flexible modelling of high-dimensional data. A new version of MARS called BMARS uses B-splines instead of truncated power basis functions. A modified forward stepwise procedure of BMARS is described as well as backward elimination procedure. In addition, rather simple but efficient parallel version of BMARS is developed. Results of BMARS applications to simulated and real data sets demonstrated its computational efficiency and ability to generate models competitive with those of original MARS.
Mathematics Subject Classification ID: 62-08
Mathematics Subject Classification ID: 62J02
Mathematics Subject Classification ID: 62J05
zbMATH DE Number: 2058944
zbMATH Keywords: B-spline
zbMATH Keywords: multivariate adaptive regression splines
zbMATH Keywords: parallel algorithm
zbMATH Keywords: forward stepwise procedure
zbMATH Keywords: backwards elimination procedure
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2058944