Orthogonal projections to latent structures (O-PLS). Trygg, J. & Wold, S. Journal of Chemometrics, 16(3):119–128, 2002. _eprint: https://onlinelibrary.wiley.com/doi/pdf/10.1002/cem.695
Orthogonal projections to latent structures (O-PLS) [link]Paper  doi  abstract   bibtex   
A generic preprocessing method for multivariate data, called orthogonal projections to latent structures (O-PLS), is described. O-PLS removes variation from X (descriptor variables) that is not correlated to Y (property variables, e.g. yield, cost or toxicity). In mathematical terms this is equivalent to removing systematic variation in X that is orthogonal to Y. In an earlier paper, Wold et al. (Chemometrics Intell. Lab. Syst. 1998; 44: 175–185) described orthogonal signal correction (OSC). In this paper a method with the same objective but with different means is described. The proposed O-PLS method analyzes the variation explained in each PLS component. The non-correlated systematic variation in X is removed, making interpretation of the resulting PLS model easier and with the additional benefit that the non-correlated variation itself can be analyzed further. As an example, near-infrared (NIR) reflectance spectra of wood chips were analyzed. Applying O-PLS resulted in reduced model complexity with preserved prediction ability, effective removal of non-correlated variation in X and, not least, improved interpretational ability of both correlated and non-correlated variation in the NIR spectra. Copyright © 2002 John Wiley & Sons, Ltd.
@article{trygg_orthogonal_2002,
	title = {Orthogonal projections to latent structures ({O}-{PLS})},
	volume = {16},
	issn = {1099-128X},
	url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/cem.695},
	doi = {10/c3vf9q},
	abstract = {A generic preprocessing method for multivariate data, called orthogonal projections to latent structures (O-PLS), is described. O-PLS removes variation from X (descriptor variables) that is not correlated to Y (property variables, e.g. yield, cost or toxicity). In mathematical terms this is equivalent to removing systematic variation in X that is orthogonal to Y. In an earlier paper, Wold et al. (Chemometrics Intell. Lab. Syst. 1998; 44: 175–185) described orthogonal signal correction (OSC). In this paper a method with the same objective but with different means is described. The proposed O-PLS method analyzes the variation explained in each PLS component. The non-correlated systematic variation in X is removed, making interpretation of the resulting PLS model easier and with the additional benefit that the non-correlated variation itself can be analyzed further. As an example, near-infrared (NIR) reflectance spectra of wood chips were analyzed. Applying O-PLS resulted in reduced model complexity with preserved prediction ability, effective removal of non-correlated variation in X and, not least, improved interpretational ability of both correlated and non-correlated variation in the NIR spectra. Copyright © 2002 John Wiley \& Sons, Ltd.},
	language = {fr},
	number = {3},
	urldate = {2021-10-19},
	journal = {Journal of Chemometrics},
	author = {Trygg, Johan and Wold, Svante},
	year = {2002},
	note = {\_eprint: https://onlinelibrary.wiley.com/doi/pdf/10.1002/cem.695},
	keywords = {NIPALS PLS, calibration, multivariate data analysis, orthogonal projections to latent structures (O-PLS), orthogonal signal correction (OSC), preprocessing},
	pages = {119--128},
}

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