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回归与平滑样条×多元自适应回归样条 (MARS)×
领域机器学习机器学习
方法族Machine learningMachine learning
起源年份19961991
提出者Spline regression literature; P-splines by Eilers & MarxJerome H. Friedman
类型Piecewise-polynomial nonparametric regressionAdaptive piecewise-linear regression
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 ↗Friedman, J. H. (1991). Multivariate adaptive regression splines. The Annals of Statistics, 19(1), 1–67. DOI ↗
别名splines, cubic splines, natural splines, smoothing splinesmultivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'ları
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.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方法对比: Regression Splines · MARS. 于 2026-06-17 检索自 https://scholargate.app/zh/compare