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| Principal Components Regression (PCR)× | Partiel mindste kvadraters regression (PLS)× | |
|---|---|---|
| Fagområde | Maskinlæring | Maskinlæring |
| Familie | Machine learning | Machine learning |
| Oprindelsesår≠ | 1982 | 1975 |
| Ophavsperson≠ | Principal-component regression literature (Jolliffe and others) | Herman Wold; popularized by Svante Wold in chemometrics |
| Type≠ | Unsupervised dimension reduction + regression | Supervised latent-variable regression |
| Oprindelig kilde≠ | Jolliffe, I. T. (1982). A note on the use of principal components in regression. Journal of the Royal Statistical Society: Series C (Applied Statistics), 31(3), 300–303. DOI ↗ | Wold, S., Sjöström, M., & Eriksson, L. (2001). PLS-regression: a basic tool of chemometrics. Chemometrics and Intelligent Laboratory Systems, 58(2), 109–130. DOI ↗ |
| Aliasser≠ | PCR, PCA regression, temel bileşenler regresyonu | PLS regression, projection to latent structures, PLSR, kısmi en küçük kareler |
| Relaterede | 3 | 3 |
| Resumé≠ | Principal components regression first compresses a set of correlated predictors into a few principal components — the directions of greatest variance — and then regresses the response on those components. By discarding low-variance directions, PCR stabilizes estimation in the presence of multicollinearity and high dimensionality, at the cost of choosing components without reference to the response. | Partial least squares regression predicts a response from many, often highly collinear predictors by projecting them onto a small set of latent components — but, unlike principal components regression, it chooses those components to maximize their covariance with the response, not just the variance of the predictors. This supervised dimension reduction makes PLS a workhorse in chemometrics, spectroscopy, and other wide-data settings where predictors vastly outnumber observations. |
| ScholarGateDatasæt ↗ |
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