Comparar métodos
Examine os métodos selecionados lado a lado; as linhas que diferem ficam destacadas.
| Regressão Local LOESS / LOWESS× | Splines Adaptativas Multivariadas (MARS)× | Regressão Polinomial× | |
|---|---|---|---|
| Área≠ | Aprendizado de máquina | Aprendizado de máquina | Estatística |
| Família≠ | Machine learning | Machine learning | Regression model |
| Ano de origem≠ | 1979 | 1991 | 2012 |
| Autor original≠ | William S. Cleveland | Jerome H. Friedman | Montgomery, Peck & Vining (textbook treatment); classical least squares |
| Tipo≠ | Local nonparametric regression smoother | Adaptive piecewise-linear regression | Linear regression in transformed predictors |
| Fonte seminal≠ | Cleveland, W. S. (1979). Robust locally weighted regression and smoothing scatterplots. Journal of the American Statistical Association, 74(368), 829–836. 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 |
| Outros nomes≠ | LOWESS, local regression, locally weighted scatterplot smoothing, yerel regresyon | multivariate adaptive regression splines, earth algorithm, MARS regression, çok değişkenli uyarlamalı regresyon spline'ları | polynomial least squares, curvilinear regression, Polinom Regresyonu |
| Relacionados≠ | 3 | 4 | 4 |
| Resumo≠ | 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. | 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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