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일반화 가법 모형 (GAM)×다중 선형 회귀×
분야머신러닝통계학
계열Machine learningRegression model
기원 연도19861886
창시자Trevor Hastie & Robert TibshiraniFrancis Galton; formalized by Karl Pearson
유형Semi-parametric additive regression modelParametric linear model
원전Hastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. DOI ↗Galton, F. (1886). Regression towards mediocrity in hereditary stature. Journal of the Anthropological Institute of Great Britain and Ireland, 15, 246–263. DOI ↗
별칭GAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelMLR, OLS regression, multiple regression, linear regression with multiple predictors
관련48
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.Multiple linear regression (MLR) is a parametric regression model that expresses a continuous outcome as a weighted linear combination of two or more predictor variables plus a random error term. The unknown weights (regression coefficients) are estimated by ordinary least squares (OLS), which minimises the sum of squared residuals. The method traces to Francis Galton's 1886 work on hereditary stature and was placed on firm mathematical footing by Karl Pearson; Draper and Smith's 1966 textbook established it as the standard framework for applied regression.
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