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Examinează metodele selectate una lângă alta; rândurile care diferă sunt evidențiate.

Model aditiv generalizat (GAM)×Regresie Locală LOESS / LOWESS×Spline-uri de regresie adaptative multivariate (MARS)×Regresie polinomială×
DomeniuÎnvățare automatăÎnvățare automatăÎnvățare automatăStatistică
FamilieMachine learningMachine learningMachine learningRegression model
Anul apariției1986197919912012
Autorul originalTrevor Hastie & Robert TibshiraniWilliam S. ClevelandJerome H. FriedmanMontgomery, Peck & Vining (textbook treatment); classical least squares
TipSemi-parametric additive regression modelLocal nonparametric regression smootherAdaptive piecewise-linear regressionLinear regression in transformed predictors
Sursa seminalăHastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. 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 ↗Montgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811
Denumiri alternativeGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelLOWESS, local regression, locally weighted scatterplot smoothing, yerel regresyonmultivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'larıpolynomial least squares, curvilinear regression, Polinom Regresyonu
Înrudite4344
RezumatA 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.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.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.
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ScholarGateCompară metode: Generalized Additive Model · LOESS · MARS · Polynomial Regression. Preluat la 2026-06-19 de pe https://scholargate.app/ro/compare