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| Model additiu generalitzat (GAM)× | MARS (Multivariate Adaptive Regression Splines)× | Regressió polinòmica× | |
|---|---|---|---|
| Camp≠ | Aprenentatge automàtic | Aprenentatge automàtic | Estadística |
| Família≠ | Machine learning | Machine learning | Regression model |
| Any d'origen≠ | 1986 | 1991 | 2012 |
| Autor original≠ | Trevor Hastie & Robert Tibshirani | Jerome H. Friedman | Montgomery, Peck & Vining (textbook treatment); classical least squares |
| Tipus≠ | Semi-parametric additive regression model | Adaptive piecewise-linear regression | Linear regression in transformed predictors |
| Font seminal≠ | Hastie, T., & Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3), 297–310. DOI ↗ | Friedman, J. H. (1991). Multivariate adaptive regression splines. The Annals of Statistics, 19(1), 1–67. DOI ↗ | Montgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811 |
| Àlies≠ | GAM, additive model, spline-based additive regression, Genelleştirilmiş toplamsal model | multivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'ları | polynomial least squares, curvilinear regression, Polinom Regresyonu |
| Relacionats | 4 | 4 | 4 |
| Resum≠ | 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. | 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. | 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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