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اسپلاین‌های رگرسیون و هموارسازی×مدل جمعی تعمیم‌یافته (GAM)×
حوزهیادگیری ماشینیادگیری ماشین
خانوادهMachine learningMachine learning
سال پیدایش19961986
پدیدآورSpline regression literature; P-splines by Eilers & MarxTrevor Hastie & Robert Tibshirani
نوعPiecewise-polynomial nonparametric regressionSemi-parametric additive regression model
منبع بنیادینEilers, 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 ↗
نام‌های دیگرsplines, cubic splines, natural splines, smoothing splinesGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model
مرتبط44
خلاصهRegression 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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ScholarGateمقایسهٔ روش‌ها: Regression Splines · Generalized Additive Model. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare