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Regression Splines×Model Aditif Generalized (GAM)×Multivariate Adaptive Regression Splines (MARS)×Regresi Polinomial×
BidangPembelajaran MesinPembelajaran MesinPembelajaran MesinStatistik
KeluargaMachine learningMachine learningMachine learningRegression model
Tahun asal1996198619912012
PengasasSpline regression literature; P-splines by Eilers & MarxTrevor Hastie & Robert TibshiraniJerome H. FriedmanMontgomery, Peck & Vining (textbook treatment); classical least squares
JenisPiecewise-polynomial nonparametric regressionSemi-parametric additive regression modelAdaptive piecewise-linear regressionLinear regression in transformed predictors
Sumber perintisEilers, P. H. C., & Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statistical Science, 11(2), 89–121. DOI ↗Hastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. DOI ↗Friedman, J. H. (1991). Multivariate adaptive regression splines. The Annals of Statistics, 19(1), 1–67. DOI ↗Montgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811
Aliassplines, cubic splines, natural splines, smoothing splinesGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelmultivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'larıpolynomial least squares, curvilinear regression, Polinom Regresyonu
Berkaitan4444
RingkasanRegression 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.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.Multivariate 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.Polynomial regression is a regression method that models non-linear relationships by including squared and higher-degree terms of an explanatory variable, and it is a core tool of response surface analysis. As developed in Montgomery, Peck and Vining's Introduction to Linear Regression Analysis (2012), it remains linear in its parameters even though the fitted curve bends.
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ScholarGateBandingkan kaedah: Regression Splines · Generalized Additive Model · MARS · Polynomial Regression. Dicapai 2026-06-19 daripada https://scholargate.app/ms/compare