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일반화 가법 모형 (GAM)×다항 회귀×
분야머신러닝통계학
계열Machine learningRegression model
기원 연도19862012
창시자Trevor Hastie & Robert TibshiraniMontgomery, Peck & Vining (textbook treatment); classical least squares
유형Semi-parametric additive regression modelLinear regression in transformed predictors
원전Hastie, 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: 978-0470542811
별칭GAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelpolynomial least squares, curvilinear regression, Polinom Regresyonu
관련44
요약A 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.
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