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베이지안 일반화 가법 모형(Bayesian Generalized Additive Model, Bayesian GAM)×일반화 가법 모형 (GAM)×
분야통계학머신러닝
계열Regression modelMachine learning
기원 연도1990s–2000s1986
창시자Hastie & Tibshirani (GAM framework, 1990); Bayesian formulation developed through work by Wood, Fahrmeir, Lang, and othersTrevor Hastie & Robert Tibshirani
유형Semiparametric Bayesian regressionSemi-parametric additive regression model
원전Wood, S. N. (2017). Generalized Additive Models: An Introduction with R (2nd ed.). CRC Press. ISBN: 9781498728331Hastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. DOI ↗
별칭Bayesian GAM, BGAM, Bayesian semiparametric regression, Bayesian smooth regressionGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model
관련44
요약Bayesian Generalized Additive Models extend the frequentist GAM framework by placing prior distributions over the smooth functions and any additional model parameters. This yields full posterior distributions over each smooth effect, enabling principled uncertainty quantification, automatic smoothness selection via hyperpriors, and seamless integration with hierarchical or mixed-effects structures.A 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.
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