手法を比較

	ベイズ一般化加法モデル（Bayesian GAM）	一般化加法モデル（GAM）
分野	統計学	機械学習
系統	Regression model	Machine learning
提唱年	1990s–2000s	1986
提唱者	Hastie & Tibshirani (GAM framework, 1990); Bayesian formulation developed through work by Wood, Fahrmeir, Lang, and others	Trevor Hastie & Robert Tibshirani
種類	Semiparametric Bayesian regression	Semi-parametric additive regression model
原典	Wood, S. N. (2017). Generalized Additive Models: An Introduction with R (2nd ed.). CRC Press. ISBN: 9781498728331	Hastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310.
別名	Bayesian GAM, BGAM, Bayesian semiparametric regression, Bayesian smooth regression	GAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model
関連	4	4
概要	Bayesian 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.