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| Hồi quy đa thức× | Hồi quy Lasso× | Hồi quy Bình phương Tối thiểu Thông thường (OLS)× | |
|---|---|---|---|
| Lĩnh vực≠ | Thống kê | Học máy | Kinh tế lượng |
| Họ≠ | Regression model | Machine learning | Regression model |
| Năm ra đời≠ | 2012 | 1996 | 2019 |
| Người khởi xướng≠ | Montgomery, Peck & Vining (textbook treatment); classical least squares | Tibshirani, R. | Wooldridge (textbook treatment); classical least squares |
| Loại≠ | Linear regression in transformed predictors | Regularized linear regression (L1 penalty) | Linear regression |
| Công trình gốc≠ | Montgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811 | Tibshirani, R. (1996). Regression Shrinkage and Selection via the Lasso. Journal of the Royal Statistical Society: Series B, 58(1), 267–288. DOI ↗ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 |
| Tên gọi khác≠ | polynomial least squares, curvilinear regression, Polinom Regresyonu | LASSO Regresyonu, lasso, L1-regularized regression, L1 regularization | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu |
| Liên quan≠ | 4 | 4 | 5 |
| Tóm tắt≠ | 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. | Lasso regression, introduced by Robert Tibshirani in 1996, is a linear regression method that adds an L1 penalty to the loss so that it shrinks coefficients and performs variable selection at the same time, producing a sparse model. By driving some coefficients exactly to zero it keeps only the predictors that matter. | Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE). |
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