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ספלינים של רגרסיה והחלקה×מודל אדיטיבי מוכלל (GAM)×רגרסיה מרובת משתנים אדפטיבית (MARS)×
תחוםלמידת מכונהלמידת מכונהלמידת מכונה
משפחהMachine learningMachine learningMachine learning
שנת המקור199619861991
הוגה השיטהSpline regression literature; P-splines by Eilers & MarxTrevor Hastie & Robert TibshiraniJerome H. Friedman
סוגPiecewise-polynomial nonparametric regressionSemi-parametric additive regression modelAdaptive piecewise-linear regression
מקור מכונןEilers, 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 ↗
כינוייםsplines, 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
קשורות444
תקצירRegression 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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ScholarGateהשוואת שיטות: Regression Splines · Generalized Additive Model · MARS. אוחזר בתאריך 2026-06-19 מתוך https://scholargate.app/he/compare