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回帰スプラインと平滑化スプライン×一般化加法モデル(GAM)×
分野機械学習機械学習
系統Machine learningMachine learning
提唱年19961986
提唱者Spline regression literature; P-splines by Eilers & MarxTrevor Hastie & Robert Tibshirani
種類Piecewise-polynomial nonparametric regressionSemi-parametric additive regression model
原典Eilers, P. H. C., & Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statistical Science, 11(2), 89–121. DOI ↗Hastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. DOI ↗
別名splines, cubic splines, natural splines, smoothing splinesGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model
関連44
概要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.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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ScholarGate手法を比較: Regression Splines · Generalized Additive Model. 2026-06-17に以下より取得 https://scholargate.app/ja/compare