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多元自适应回归样条 (MARS)×广义可加模型 (GAM)×
领域机器学习机器学习
方法族Machine learningMachine learning
起源年份19911986
提出者Jerome H. FriedmanTrevor Hastie & Robert Tibshirani
类型Adaptive piecewise-linear regressionSemi-parametric additive regression model
开创性文献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 ↗
别名multivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'larıGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model
相关44
摘要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方法对比: MARS · Generalized Additive Model. 于 2026-06-17 检索自 https://scholargate.app/zh/compare