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Splines de régression et de lissage×Régression locale LOESS / LOWESS×Splines adaptatives multivariées (MARS)×
DomaineApprentissage automatiqueApprentissage automatiqueApprentissage automatique
FamilleMachine learningMachine learningMachine learning
Année d'origine199619791991
Auteur d'origineSpline regression literature; P-splines by Eilers & MarxWilliam S. ClevelandJerome H. Friedman
TypePiecewise-polynomial nonparametric regressionLocal nonparametric regression smootherAdaptive piecewise-linear regression
Source fondatriceEilers, P. H. C., & Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statistical Science, 11(2), 89–121. DOI ↗Cleveland, W. S. (1979). Robust locally weighted regression and smoothing scatterplots. Journal of the American Statistical Association, 74(368), 829–836. DOI ↗Friedman, J. H. (1991). Multivariate adaptive regression splines. The Annals of Statistics, 19(1), 1–67. DOI ↗
Aliassplines, cubic splines, natural splines, smoothing splinesLOWESS, local regression, locally weighted scatterplot smoothing, yerel regresyonmultivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'ları
Apparentées434
RésuméRegression 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.LOESS (locally estimated scatterplot smoothing), introduced by William Cleveland in 1979 and extended with Susan Devlin in 1988, fits a smooth curve through data by performing a separate weighted polynomial regression in the neighbourhood of each point. Nearby observations count more than distant ones, so the method follows local structure without assuming any global functional form, making it a popular exploratory smoother for scatterplots.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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ScholarGateComparer des méthodes: Regression Splines · LOESS · MARS. Consulté le 2026-06-19 sur https://scholargate.app/fr/compare