Partial least squares for discrimination statistical theory and implementation m barker lap lambert academic publishing 2010 description partial least squares for discrimination statistical theory and implementation amazonde matthew barker englische bcher. Partial least squares regression pls regression is a statistical method that bears some relation to principal components regression instead of finding hyperplanes of maximum variance between the response and independent variables it finds a linear regression model by projecting the predicted variables and the observable variables to a new space because both the x and y data are . Nonlinear partial least squares an overview roman rosipal partial least squares nonlinear mapping kernel learning introduction two block linear partial least squares pls has been proven to be a valuable method for modeling and algorithmic implementation of each method mentioned goes beyond the scope of the chapter. Partial least squares pls is an efficient statistical regression technique that is highly suited for the analysis of genomic and proteomic data in this article we review both the theory underlying pls as well as a host of bioinformatics applications of pls. Partial least squares pls was not originally designed as a tool for statistical discrimination in spite of this applied scientists routinely use pls for classification and there is substantial empirical evidence to suggest that it performs well in that role
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