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| Regressione locale LOESS / LOWESS× | Modello Additivo Generalizzato (GAM)× | Regressione polinomiale× | |
|---|---|---|---|
| Campo≠ | Apprendimento automatico | Apprendimento automatico | Statistica |
| Famiglia≠ | Machine learning | Machine learning | Regression model |
| Anno di origine≠ | 1979 | 1986 | 2012 |
| Ideatore≠ | William S. Cleveland | Trevor Hastie & Robert Tibshirani | Montgomery, Peck & Vining (textbook treatment); classical least squares |
| Tipo≠ | Local nonparametric regression smoother | Semi-parametric additive regression model | Linear regression in transformed predictors |
| Fonte seminale≠ | Cleveland, 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: 978-0470542811 |
| Alias≠ | LOWESS, local regression, locally weighted scatterplot smoothing, yerel regresyon | GAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model | polynomial least squares, curvilinear regression, Polinom Regresyonu |
| Correlati≠ | 3 | 4 | 4 |
| Sintesi≠ | 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. | 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. |
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