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السبلاينات الانحدارية والسبلاينات الملساء×نموذج الجمع المعمم (GAM)×الانحدار التكيفي متعدد المتغيرات (MARS)×
المجالتعلم الآلةتعلم الآلةتعلم الآلة
العائلةMachine learningMachine learningMachine learning
سنة النشأة199619861991
صاحب الطريقةSpline regression literature; P-splines by Eilers & MarxTrevor Hastie & Robert TibshiraniJerome H. Friedman
النوعPiecewise-polynomial nonparametric regressionSemi-parametric additive regression modelAdaptive piecewise-linear regression
المصدر التأسيسيEilers, 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 ↗
الأسماء البديلةsplines, 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'ları
ذات صلة444
الملخصRegression 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.
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ScholarGateقارن الطرق: Regression Splines · Generalized Additive Model · MARS. استُرجع بتاريخ 2026-06-19 من https://scholargate.app/ar/compare