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Spline Regresi dan Penghalusan×Model Aditif Umum (GAM)×Regresi Polinomial×
BidangPembelajaran MesinPembelajaran MesinStatistika
KeluargaMachine learningMachine learningRegression model
Tahun asal199619862012
PencetusSpline regression literature; P-splines by Eilers & MarxTrevor Hastie & Robert TibshiraniMontgomery, Peck & Vining (textbook treatment); classical least squares
TipePiecewise-polynomial nonparametric regressionSemi-parametric additive regression modelLinear 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 ↗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 modelpolynomial least squares, curvilinear regression, Polinom Regresyonu
Terkait444
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.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 metode: Regression Splines · Generalized Additive Model · Polynomial Regression. Diakses 2026-06-19 dari https://scholargate.app/id/compare