Discover

(Redirected from Partial least squares)
In statistics, the method of 'partial least squares regression (PLS-regression)' bears some relation to principal component analysis; instead of finding the hyperplanes of maximum variance, it finds a linear model describing some predicted variables in terms of other observable variables.
It is used to find the fundamental relations between two matrices (''X'' and ''Y''), i.e. a latent variable approach to modeling the covariance structures in these two spaces. A PLS model will try to find the multidimensional direction in the ''X'' space that explains the maximum multidimensional variance direction in the ''Y'' space.
It was first introduced by the Swedish statistician Herman Wold. An alternative (and arguably, more correct, according to Wold) long form for PLS is 'projection to latent structures' but the term 'partial least squares' is still dominant in some areas. It is widely applied in the field of chemometrics, in sensory evaluation, and more recently, in chemical engineering process data (see John F. MacGregor) and the analysis of functional brain imaging data.

Contents

See also

References

External links

See also

★ Feature extraction

★ Data mining

★ Machine learning

★ Regression analysis

References

★

★

★

★

★

External links

★ PLS at SAS

★ PLS and regression tutorial

★ PLS in Brain Imaging

★ on-line PLS regression (PLSR) at Virtual Computational Chemistry Laboratory

★ Uncertainty estimation for PLS