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Generalisiertes Additives Modell (GAM)×Regressions- und Glättungssplines×
FachgebietMaschinelles LernenMaschinelles Lernen
FamilieMachine learningMachine learning
Entstehungsjahr19861996
UrheberTrevor Hastie & Robert TibshiraniSpline regression literature; P-splines by Eilers & Marx
TypSemi-parametric additive regression modelPiecewise-polynomial nonparametric regression
Wegweisende QuelleHastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. DOI ↗Eilers, P. H. C., & Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statistical Science, 11(2), 89–121. DOI ↗
AliasnamenGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelsplines, cubic splines, natural splines, smoothing splines
Verwandt44
ZusammenfassungA generalized additive model, introduced by Trevor Hastie and Robert Tibshirani in 1986, extends the generalized linear model by replacing each linear term with a smooth, data-driven function of the predictor. This lets the model capture nonlinear relationships while preserving the additive, term-by-term interpretability of regression: each predictor contributes its own estimated curve, and the curves simply add up (on a link scale) to predict the response.Regression splines model a nonlinear relationship by fitting piecewise polynomials that join smoothly at a set of points called knots. Cubic and natural splines are the most common, and smoothing splines add a roughness penalty that automatically balances fit against smoothness. Splines are the standard flexible building block for univariate nonlinear regression and the basis of generalized additive models.
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ScholarGateMethoden vergleichen: Generalized Additive Model · Regression Splines. Abgerufen am 2026-06-17 von https://scholargate.app/de/compare