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回归与平滑样条×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19961986
提出者Spline regression literature; P-splines by Eilers & MarxTrevor Hastie & Robert Tibshirani
类型Piecewise-polynomial nonparametric regressionSemi-parametric additive regression model
开创性文献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 ↗
别名splines, cubic splines, natural splines, smoothing splinesGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model
相关44
摘要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方法对比: Regression Splines · Generalized Additive Model. 于 2026-06-17 检索自 https://scholargate.app/zh/compare