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LOESS / LOWESS lokalna regresija×Generalizirani aditivni model (GAM)×Polinomna regresija×Regresijske i izglađujuće splajne×
PodručjeStrojno učenjeStrojno učenjeStatistikaStrojno učenje
ObiteljMachine learningMachine learningRegression modelMachine learning
Godina nastanka1979198620121996
TvoracWilliam S. ClevelandTrevor Hastie & Robert TibshiraniMontgomery, Peck & Vining (textbook treatment); classical least squaresSpline regression literature; P-splines by Eilers & Marx
VrstaLocal nonparametric regression smootherSemi-parametric additive regression modelLinear regression in transformed predictorsPiecewise-polynomial nonparametric regression
Temeljni izvorCleveland, W. S. (1979). Robust locally weighted regression and smoothing scatterplots. Journal of the American Statistical Association, 74(368), 829–836. DOI ↗Hastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. 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 ↗
Drugi naziviLOWESS, local regression, locally weighted scatterplot smoothing, yerel regresyonGAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal modelpolynomial least squares, curvilinear regression, Polinom Regresyonusplines, cubic splines, natural splines, smoothing splines
Srodne3444
SažetakLOESS (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.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.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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ScholarGateUsporedite metode: LOESS · Generalized Additive Model · Polynomial Regression · Regression Splines. Preuzeto 2026-06-18 s https://scholargate.app/hr/compare