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多変量適応回帰スプライン(MARS)×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19911986
提唱者Jerome H. FriedmanTrevor Hastie & Robert Tibshirani
種類Adaptive piecewise-linear regressionSemi-parametric additive regression model
原典Friedman, J. H. (1991). Multivariate adaptive regression splines. The Annals of Statistics, 19(1), 1–67. DOI ↗Hastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. DOI ↗
別名multivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'larıGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model
関連44
概要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.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: MARS · Generalized Additive Model. 2026-06-17に以下より取得 https://scholargate.app/ja/compare