Knot selection by boosting techniques

DOI10.1016/j.csda.2006.08.008zbMath1162.62337OpenAlexW2087278921MaRDI QIDQ1020124

Florian Leitenstorfer, Gerhard Tutz

Publication date: 29 May 2009

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://epub.ub.uni-muenchen.de/1849/1/paper_481.pdf

zbMATH Keywords

radial basis functionsnonparametric regressionsurface fittingboostingknot selection

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric estimation (62G05)

Related Items

Wavelet-based gradient boosting, Stable non-linear generalized Bayesian joint models for survival-longitudinal data, Semiparametric regression during 2003--2007, Learning mixtures of polynomials of multidimensional probability densities from data using B-spline interpolation, Boosting algorithms: regularization, prediction and model fitting, Boosting additive models using component-wise P-splines, Spatial interpolation of high-frequency monitoring data, Nonparametric and robust methods. (Editorial), A stochastic approximation view of boosting

Uses Software

• R
• SemiPar
• locfit
• fields
• COBS
• gamair

Cites Work

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• Greedy function approximation: A gradient boosting machine.
• Response shrinkage estimators in binary regression
• Nonparametric regression using Bayesian variable selection
• Multivariate adaptive regression splines
• Estimating the dimension of a model
• A practical guide to splines
• Polynomial splines and their tensor products in extended linear modeling. (With discussions)
• A comparison of regression spline smoothing procedures
• Flexible smoothing with \(B\)-splines and penalties. With comments and a rejoinder by the authors
• COBS: qualitatively constrained smoothing via linear programming
• Cross-validation in nonparametric regression with outliers
• Boosting for high-dimensional linear models
• Convergence rate of b-spline estimators of nonparametric conditional quantile functions^∗
• Bivariate Binomial Spatial Modeling of Loa loa Prevalence in Tropical Africa
• Smoothing Parameter Selection in Nonparametric Regression Using an Improved Akaike Information Criterion
• Automatic Bayesian Curve Fitting
• Local Regression and Likelihood
• Ideal spatial adaptation by wavelet shrinkage
• Quantile smoothing splines
• A Bayesian Approach to Nonparametric Bivariate Regression
• Model Selection and the Principle of Minimum Description Length
• Semiparametric Regression
• Boosting With theL₂Loss
• Thin Plate Regression Splines
• Generalized Additive Modeling with Implicit Variable Selection by Likelihood‐Based Boosting
• Ridge Regression: Biased Estimation for Nonorthogonal Problems