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اسپلاین‌های رگرسیون و هموارسازی×رگرسیون انشعابی تطبیقی چندمتغیره (MARS)×
حوزهیادگیری ماشینیادگیری ماشین
خانوادهMachine learningMachine learning
سال پیدایش19961991
پدیدآورSpline regression literature; P-splines by Eilers & MarxJerome H. Friedman
نوعPiecewise-polynomial nonparametric regressionAdaptive piecewise-linear regression
منبع بنیادینEilers, 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 ↗
نام‌های دیگرsplines, cubic splines, natural splines, smoothing splinesmultivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'ları
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.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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ScholarGateمقایسهٔ روش‌ها: Regression Splines · MARS. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare