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رگرسیون موضعی LOESS / LOWESS×رگرسیون چندجمله‌ای×اسپلاین‌های رگرسیون و هموارسازی×
حوزهیادگیری ماشینآماریادگیری ماشین
خانوادهMachine learningRegression modelMachine learning
سال پیدایش197920121996
پدیدآورWilliam S. ClevelandMontgomery, Peck & Vining (textbook treatment); classical least squaresSpline regression literature; P-splines by Eilers & Marx
نوعLocal nonparametric regression smootherLinear regression in transformed predictorsPiecewise-polynomial nonparametric regression
منبع بنیادینCleveland, W. S. (1979). Robust locally weighted regression and smoothing scatterplots. Journal of the American Statistical Association, 74(368), 829–836. DOI ↗Montgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811Eilers, P. H. C., & Marx, B. D. (1996). Flexible smoothing with B-splines and penalties. Statistical Science, 11(2), 89–121. DOI ↗
نام‌های دیگرLOWESS, local regression, locally weighted scatterplot smoothing, yerel regresyonpolynomial least squares, curvilinear regression, Polinom Regresyonusplines, cubic splines, natural splines, smoothing splines
مرتبط344
خلاصهLOESS (locally estimated scatterplot smoothing), introduced by William Cleveland in 1979 and extended with Susan Devlin in 1988, fits a smooth curve through data by performing a separate weighted polynomial regression in the neighbourhood of each point. Nearby observations count more than distant ones, so the method follows local structure without assuming any global functional form, making it a popular exploratory smoother for scatterplots.Polynomial regression is a regression method that models non-linear relationships by including squared and higher-degree terms of an explanatory variable, and it is a core tool of response surface analysis. As developed in Montgomery, Peck and Vining's Introduction to Linear Regression Analysis (2012), it remains linear in its parameters even though the fitted curve bends.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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ScholarGateمقایسهٔ روش‌ها: LOESS · Polynomial Regression · Regression Splines. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare