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Višestruke adaptivne regresijske "spline" funkcije (MARS)×Generalizirani aditivni model (GAM)×Regresijske i izglađujuće splajne×
PodručjeStrojno učenjeStrojno učenjeStrojno učenje
ObiteljMachine learningMachine learningMachine learning
Godina nastanka199119861996
TvoracJerome H. FriedmanTrevor Hastie & Robert TibshiraniSpline regression literature; P-splines by Eilers & Marx
VrstaAdaptive piecewise-linear regressionSemi-parametric additive regression modelPiecewise-polynomial nonparametric regression
Temeljni izvorFriedman, J. H. (1991). Multivariate adaptive regression splines. The Annals of Statistics, 19(1), 1–67. DOI ↗Hastie, 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 ↗
Drugi nazivimultivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'larıGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelsplines, cubic splines, natural splines, smoothing splines
Srodne444
SažetakMultivariate adaptive regression splines, introduced by Jerome Friedman in 1991, is a flexible nonparametric regression method that automatically models nonlinearities and interactions by combining piecewise-linear 'hinge' functions. It builds the model in a forward stagewise pass that adds basis functions where they help most, then prunes back the overgrown model, yielding an interpretable additive-plus-interaction form that adapts its complexity to the data.A 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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ScholarGateUsporedite metode: MARS · Generalized Additive Model · Regression Splines. Preuzeto 2026-06-18 s https://scholargate.app/hr/compare