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决策树×广义可加模型 (GAM)×回归与平滑样条×
领域机器学习机器学习机器学习
方法族Machine learningMachine learningMachine learning
起源年份198419861996
提出者Breiman, Friedman, Olshen & StoneTrevor Hastie & Robert TibshiraniSpline regression literature; P-splines by Eilers & Marx
类型Recursive partitioning (if-then rules)Semi-parametric additive regression modelPiecewise-polynomial nonparametric regression
开创性文献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 ↗Eilers, P. H. C., & Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statistical Science, 11(2), 89–121. DOI ↗
别名Karar Ağacı (Decision Tree), karar ağacı, classification tree, regression treeGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelsplines, cubic splines, natural splines, smoothing splines
相关544
摘要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.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.
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ScholarGate方法对比: Decision Tree · Generalized Additive Model · Regression Splines. 于 2026-06-18 检索自 https://scholargate.app/zh/compare