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Modelo Aditivo Generalizado (GAM)×Regressão Polinomial×Splines de regressão e de suavização×
ÁreaAprendizado de máquinaEstatísticaAprendizado de máquina
FamíliaMachine learningRegression modelMachine learning
Ano de origem198620121996
Autor originalTrevor Hastie & Robert TibshiraniMontgomery, Peck & Vining (textbook treatment); classical least squaresSpline regression literature; P-splines by Eilers & Marx
TipoSemi-parametric additive regression modelLinear regression in transformed predictorsPiecewise-polynomial nonparametric regression
Fonte seminalHastie, 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: 978-0470542811Eilers, P. H. C., & Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statistical Science, 11(2), 89–121. DOI ↗
Outros nomesGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelpolynomial least squares, curvilinear regression, Polinom Regresyonusplines, cubic splines, natural splines, smoothing splines
Relacionados444
ResumoA 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.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: Generalized Additive Model · Polynomial Regression · Regression Splines. Recuperado em 2026-06-18 de https://scholargate.app/pt/compare