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Splines Adaptativas Multivariadas (MARS)×Modelo Aditivo Generalizado (GAM)×Splines de regressão e de suavização×
ÁreaAprendizado de máquinaAprendizado de máquinaAprendizado de máquina
FamíliaMachine learningMachine learningMachine learning
Ano de origem199119861996
Autor originalJerome H. FriedmanTrevor Hastie & Robert TibshiraniSpline regression literature; P-splines by Eilers & Marx
TipoAdaptive piecewise-linear regressionSemi-parametric additive regression modelPiecewise-polynomial nonparametric regression
Fonte seminalFriedman, J. H. (1991). Multivariate adaptive regression splines. The Annals of Statistics, 19(1), 1–67. DOI ↗Hastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. DOI ↗Eilers, P. H. C., & Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statistical Science, 11(2), 89–121. DOI ↗
Outros nomesmultivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'larıGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelsplines, cubic splines, natural splines, smoothing splines
Relacionados444
ResumoMultivariate 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.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.Regression 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.
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ScholarGateComparar métodos: MARS · Generalized Additive Model · Regression Splines. Recuperado em 2026-06-18 de https://scholargate.app/pt/compare