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| Hồi quy đa thức× | Hồi quy Bình phương Tối thiểu Thông thường (OLS)× | Ridge Regression× | |
|---|---|---|---|
| Lĩnh vực≠ | Thống kê | Kinh tế lượng | Học máy |
| Họ≠ | Regression model | Regression model | Machine learning |
| Năm ra đời≠ | 2012 | 2019 | 1970 |
| Người khởi xướng≠ | Montgomery, Peck & Vining (textbook treatment); classical least squares | Wooldridge (textbook treatment); classical least squares | Hoerl, A.E. & Kennard, R.W. |
| Loại≠ | Linear regression in transformed predictors | Linear regression | L2-regularized linear regression |
| Công trình gốc≠ | Montgomery, D. C., Peck, E. A. & Vining, G. G. (2012). Introduction to Linear Regression Analysis. Wiley. ISBN: 978-0470542811 | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 | Hoerl, A.E. & Kennard, R.W. (1970). Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), 55–67. DOI ↗ |
| Tên gọi khác≠ | polynomial least squares, curvilinear regression, Polinom Regresyonu | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu | Ridge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization |
| Liên quan≠ | 4 | 5 | 4 |
| 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. | 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). | Ridge Regression is an L2-regularized linear regression method, introduced by Arthur Hoerl and Robert Kennard in 1970, that reduces multicollinearity by adding a penalty on the size of the coefficients. It shrinks coefficients toward zero without setting any of them exactly to zero, producing more stable estimates when predictors are highly correlated. |
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