The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
On the structure of partial least squares regression
Abstract
We prove that the two algorithms given in the literature for partial least squares regression are equivalent, and use this equivalence to give an explicit formula for the resulting prediction equation. This in turn is used to investigate the regression method from several points of view. Its relation to principal component regression is clearified, and some heuristic arguments are given to explain why partial least squares regression often needs fewer factors to give its optimal prediction.
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Cites
Wold, S., Ruhe, A., Wold, H., & Dunn, III (1984) · SIAM Journal on Scientific and Statistical Computing · doi:10.1137/0905052 · Cited by 2,529
The multivariate calibration problem in chemistry solved by the PLS method
Wold, S., Martens, H., & Wold, H. (1983) · Lecture notes in mathematics · doi:10.1007/bfb0062108 · Cited by 1,185
Cited by
A national customer satisfaction barometer: the Swedish experience
Fornell, C. (1992) · Journal of Marketing · doi:10.2307/1252129 · Cited by 5,641
SIMPLS: An alternative approach to partial least squares regression
de Jong, S. (1993) · Chemometrics and Intelligent Laboratory Systems · doi:10.1016/0169-7439(93)85002-x · Cited by 1,905
Kernel partial least squares regression in reproducing kernel hilbert space
Rosipal, R., & Trejo, L. J. (2002) · doi:10.5555/944790.944806 · Cited by 873
Dimensionality Reduction for Supervised Learning With Reproducing Kernel Hilbert Spaces
Fukumizu, K., Bach, F. R., & Jordan, M. I. (2003) · doi:10.21236/ada446572 · Cited by 723
Partial Least Squares Regression
Helland, I. (2005) · Encyclopedia of Statistical Sciences · doi:10.1002/0471667196.ess6004.pub2 · Cited by 259
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Metadata
- Authors
- Helland, I. S.
- Venue
- Communications in Statistics - Simulation and Computation
- Publisher
- Informa UK Limited
- Published
- 1988-01
- Volume
- 17
- Issue
- 2
- Pages
- 581-607
- ISSN
- 0361-0918 (ISSN-L)
- 1532-4141
- OpenAlex
- W2160333357
- Cited by
- 559
- References
- 2
- FWCI
- 3.51
- Type
- journal article
- Language
- en
- Open access
- closed
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- Helland, I. S. (1988). On the structure of partial least squares regression. Communications in Statistics - Simulation and Computation. https://doi.org/10.1080/03610918808812681
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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