4.6 Article

Boosting Functional Regression Models with FDboost

Journal

JOURNAL OF STATISTICAL SOFTWARE
Volume 94, Issue 10, Pages 1-50

Publisher

JOURNAL STATISTICAL SOFTWARE
DOI: 10.18637/jss.v094.i10

Keywords

functional data analysis; function-on-function regression; function-on-scalar regression; gradient boosting; model-based boosting; scalar-on-function regression

Funding

  1. Emmy Noether grant from the German Research Foundation [GR 3793/1-1]

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The R add-on package FDboost is a flexible toolbox for the estimation of functional regression models by model-based boosting. It provides the possibility to fit regression models for scalar and functional response with effects of scalar as well as functional covariates, i.e., scalar-on-function, function-on-scalar and function-on-function regression models. In addition to mean regression, quantile regression models as well as generalized additive models for location scale and shape can be fitted with FDboost. Furthermore, boosting can be used in high-dimensional data settings with more covariates than observations. We provide a hands-on tutorial on model fitting and tuning, including the visualization of results. The methods for scalar-on-function regression are illustrated with spectrometric data of fossil fuels and those for functional response regression with a data set including bioelectrical signals for emotional episodes.

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