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一般化加法モデル(GAM)×勾配ブースティング×回帰スプラインと平滑化スプライン×
分野機械学習機械学習機械学習
系統Machine learningMachine learningMachine learning
提唱年198620011996
提唱者Trevor Hastie & Robert TibshiraniFriedman, J. H.Spline regression literature; P-splines by Eilers & Marx
種類Semi-parametric additive regression modelEnsemble (sequential boosting of decision trees)Piecewise-polynomial nonparametric regression
原典Hastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. DOI ↗Friedman, J. H. (2001). Greedy Function Approximation: A Gradient Boosting Machine. Annals of Statistics, 29(5), 1189–1232. DOI ↗Eilers, P. H. C., & Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statistical Science, 11(2), 89–121. DOI ↗
別名GAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelGradient Boosting (GBM), GBM, gradient boosted trees, gradient boosting machinesplines, cubic splines, natural splines, smoothing splines
関連454
概要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.Gradient Boosting is an ensemble learning method, formalised by Jerome H. Friedman in 2001, that combines a sequence of weak learners — typically shallow decision trees — so that each new tree is fitted to minimise the residual errors of the trees before it. It is the core algorithm behind popular implementations such as XGBoost, LightGBM and CatBoost.Regression splines model a nonlinear relationship by fitting piecewise polynomials that join smoothly at a set of points called knots. Cubic and natural splines are the most common, and smoothing splines add a roughness penalty that automatically balances fit against smoothness. Splines are the standard flexible building block for univariate nonlinear regression and the basis of generalized additive models.
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ScholarGate手法を比較: Generalized Additive Model · Gradient Boosting · Regression Splines. 2026-06-18に以下より取得 https://scholargate.app/ja/compare