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| Pääkomponenttianalyysi× | Robust Regression× | |
|---|---|---|
| Tieteenala≠ | Koneoppiminen | Tilastotiede |
| Menetelmäperhe≠ | Machine learning | Regression model |
| Syntyvuosi≠ | 2002 | 1964 |
| Kehittäjä≠ | Jolliffe, I.T. (textbook); Pearson & Hotelling (origins) | Peter J. Huber (M-estimation, 1964); Frank Hampel (influence function, 1974) |
| Tyyppi≠ | Unsupervised dimensionality reduction | Regression with outlier resistance |
| Alkuperäislähde≠ | Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗ | Huber, P. J. (1964). Robust estimation of a location parameter. The Annals of Mathematical Statistics, 35(1), 73–101. DOI ↗ |
| Rinnakkaisnimet | Temel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform | M-estimation regression, robust linear regression, outlier-resistant regression, MM-estimation |
| Liittyvät≠ | 3 | 6 |
| Tiivistelmä≠ | Principal Component Analysis (PCA) is an unsupervised dimensionality-reduction method — given its modern textbook treatment by Ian Jolliffe (2002) — that compresses high-dimensional data into fewer dimensions while preserving the maximum possible variance. It re-expresses correlated variables as a small set of uncorrelated principal components ordered by how much of the data's variation each one captures. | 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. |
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