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多変量適応回帰スプライン(MARS)×決定木×一般化加法モデル(GAM)×勾配ブースティング×
分野機械学習機械学習機械学習機械学習
系統Machine learningMachine learningMachine learningMachine learning
提唱年1991198419862001
提唱者Jerome H. FriedmanBreiman, Friedman, Olshen & StoneTrevor Hastie & Robert TibshiraniFriedman, J. H.
種類Adaptive piecewise-linear regressionRecursive partitioning (if-then rules)Semi-parametric additive regression modelEnsemble (sequential boosting of decision trees)
原典Friedman, J. H. (1991). Multivariate adaptive regression splines. The Annals of Statistics, 19(1), 1–67. DOI ↗Breiman, L., Friedman, J.H., Olshen, R.A. & Stone, C.J. (1984). Classification and Regression Trees. Wadsworth. DOI ↗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 ↗
別名multivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'larıKarar Ağacı (Decision Tree), karar ağacı, classification tree, regression treeGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelGradient Boosting (GBM), GBM, gradient boosted trees, gradient boosting machine
関連4545
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 Decision Tree is an interpretable classification and regression method, formalised by Breiman, Friedman, Olshen and Stone in their 1984 CART framework, that partitions the data with hierarchical if-then rules. Each split sends observations down one branch or another until a prediction is read off the leaf.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.
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ScholarGate手法を比較: MARS · Decision Tree · Generalized Additive Model · Gradient Boosting. 2026-06-18に以下より取得 https://scholargate.app/ja/compare