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| Regressió Lasso× | Regressió per Mínims Quadrats Troncats (LTS)× | Regressió per Mínims Quadrats Ordinàris (MQO)× | |
|---|---|---|---|
| Camp≠ | Aprenentatge automàtic | Estadística | Econometria |
| Família≠ | Machine learning | Regression model | Regression model |
| Any d'origen≠ | 1996 | 1984 | 2019 |
| Autor original≠ | Tibshirani, R. | Peter J. Rousseeuw | Wooldridge (textbook treatment); classical least squares |
| Tipus≠ | Regularized linear regression (L1 penalty) | Robust linear regression | Linear regression |
| Font seminal≠ | Tibshirani, R. (1996). Regression Shrinkage and Selection via the Lasso. Journal of the Royal Statistical Society: Series B, 58(1), 267–288. DOI ↗ | Rousseeuw, P. J. (1984). Least Median of Squares Regression. Journal of the American Statistical Association, 79(388), 871-880. DOI ↗ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 |
| Àlies≠ | LASSO Regresyonu, lasso, L1-regularized regression, L1 regularization | LTS, least trimmed squares regression, trimmed least squares, robust regression | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu |
| Relacionats≠ | 4 | 5 | 5 |
| Resum≠ | 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. | Least Trimmed Squares is a robust linear regression method introduced by Peter J. Rousseeuw in 1984. Instead of fitting all residuals, it estimates the coefficients by minimising the sum of only the h smallest squared residuals, which gives it a breakdown point of up to 50% and reliable estimates on data heavily contaminated by outliers. | 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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