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LOESS / LOWESS局部回归×多项式回归×
领域机器学习统计学
方法族Machine learningRegression model
起源年份19792012
提出者William S. ClevelandMontgomery, Peck & Vining (textbook treatment); classical least squares
类型Local nonparametric regression smootherLinear regression in transformed predictors
开创性文献Cleveland, 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: 978-0470542811
别名LOWESS, local regression, locally weighted scatterplot smoothing, yerel regresyonpolynomial least squares, curvilinear regression, Polinom Regresyonu
相关34
摘要LOESS (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.
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ScholarGate方法对比: LOESS · Polynomial Regression. 于 2026-06-18 检索自 https://scholargate.app/zh/compare