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一般化加法モデル(GAM)×多変量適応回帰スプライン(MARS)×
分野機械学習機械学習
系統Machine learningMachine learning
提唱年19861991
提唱者Trevor Hastie & Robert TibshiraniJerome H. Friedman
種類Semi-parametric additive regression modelAdaptive piecewise-linear regression
原典Hastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. DOI ↗Friedman, J. H. (1991). Multivariate adaptive regression splines. The Annals of Statistics, 19(1), 1–67. DOI ↗
別名GAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelmultivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'ları
関連44
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.Multivariate adaptive regression splines, introduced by Jerome Friedman in 1991, is a flexible nonparametric regression method that automatically models nonlinearities and interactions by combining piecewise-linear 'hinge' functions. It builds the model in a forward stagewise pass that adds basis functions where they help most, then prunes back the overgrown model, yielding an interpretable additive-plus-interaction form that adapts its complexity to the data.
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ScholarGate手法を比較: Generalized Additive Model · MARS. 2026-06-19に以下より取得 https://scholargate.app/ja/compare