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מודל אדיטיבי מוכלל (GAM)×רגרסיה מקומית LOESS / LOWESS×רגרסיה פולינומית×
תחוםלמידת מכונהלמידת מכונהסטטיסטיקה
משפחהMachine learningMachine learningRegression model
שנת המקור198619792012
הוגה השיטהTrevor Hastie & Robert TibshiraniWilliam S. ClevelandMontgomery, Peck & Vining (textbook treatment); classical least squares
סוגSemi-parametric additive regression modelLocal nonparametric regression smootherLinear regression in transformed predictors
מקור מכונןHastie, 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 ↗Montgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811
כינוייםGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelLOWESS, local regression, locally weighted scatterplot smoothing, yerel regresyonpolynomial least squares, curvilinear regression, Polinom Regresyonu
קשורות434
תקצירA 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.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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ScholarGateהשוואת שיטות: Generalized Additive Model · LOESS · Polynomial Regression. אוחזר בתאריך 2026-06-19 מתוך https://scholargate.app/he/compare