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| Robust Regression× | Παλινδρόμηση Lasso× | Παλινδρόμηση Ποσοστημορίων× | |
|---|---|---|---|
| Πεδίο≠ | Στατιστική | Μηχανική Μάθηση | Οικονομετρία |
| Οικογένεια≠ | Regression model | Machine learning | Regression model |
| Έτος προέλευσης≠ | 1964 | 1996 | 1978 |
| Δημιουργός≠ | Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974) | Tibshirani, R. | Koenker & Bassett |
| Τύπος≠ | Regression with outlier resistance | Regularized linear regression (L1 penalty) | Conditional quantile regression |
| Θεμελιώδης πηγή≠ | Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗ | Tibshirani, R. (1996). Regression Shrinkage and Selection via the Lasso. Journal of the Royal Statistical Society: Series B, 58(1), 267–288. DOI ↗ | Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗ |
| Εναλλακτικές ονομασίες≠ | M-estimation regression, robust linear regression, outlier-resistant regression, MM-estimation | LASSO Regresyonu, lasso, L1-regularized regression, L1 regularization | conditional quantile regression, regression quantiles, Kantil Regresyon |
| Συναφείς≠ | 6 | 4 | 5 |
| Σύνοψη≠ | Robust regression estimates the linear relationship between a continuous outcome and predictors while sharply reducing the influence of outliers and leverage points. Unlike OLS, which is highly sensitive to extreme observations, robust methods assign down-weighted influence to atypical data points, producing coefficient estimates that remain stable even when a fraction of the data is contaminated or non-normally distributed. | 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. | Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails. |
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