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مدل افزایشی تعمیم‌یافته بیزی (Bayesian GAM)×مدل جمعی تعمیم‌یافته (GAM)×
حوزهآماریادگیری ماشین
خانوادهRegression modelMachine learning
سال پیدایش1990s–2000s1986
پدیدآورHastie & Tibshirani (GAM framework, 1990); Bayesian formulation developed through work by Wood, Fahrmeir, Lang, and othersTrevor Hastie & Robert Tibshirani
نوعSemiparametric Bayesian regressionSemi-parametric additive regression model
منبع بنیادینWood, 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 ↗
نام‌های دیگرBayesian GAM, BGAM, Bayesian semiparametric regression, Bayesian smooth regressionGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model
مرتبط44
خلاصهBayesian 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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ScholarGateمقایسهٔ روش‌ها: Bayesian Generalized additive model · Generalized Additive Model. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare