has part has_specified_input has_specified_output data transformation class discovery data transformation continuous variable partial least square weight number of orthogonal components regression coefficient loadings score selectivity ratio Partial Least Square regression http://scikit-learn.org/stable/modules/generated/sklearn.cross_decomposition.PLSRegression.html PLS Philippe Rocca-Serra adapted from wikipedia: last accessed on 24/07/2018 from: https://en.wikipedia.org/wiki/Partial_least_squares_regression https://rpubs.com/omicsdata/pls term request from Ralf Weber and Gavin Lloyd, University of Birmingham Partial least squares analysis Partial least squares regression (PLS regression) is a data transformation 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 projected to new spaces, the PLS family of methods are known as bilinear factor models. Partial least squares Discriminant Analysis (PLS-DA) is a variant used when the Y is categorical. PLS 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. PLS regression is particularly suited when the matrix of predictors has more variables than observations, and when there is multicollinearity among X values. By contrast, standard regression will fail in these cases (unless it is regularized). Partial least squares was introduced by the Swedish statistician Herman O. A. Wold, who then developed it with his son, Svante Wold. An alternative term for PLS (and more correct according to Svante Wold[1]) is projection to latent structures, but the term partial least squares is still dominant in many areas. Although the original applications were in the social sciences, PLS regression is today most widely used in chemometrics and related areas. It is also used in bioinformatics, sensometrics, neuroscience and anthropology. non-iterative Partial Least Squares SIMPLS variable importance in projection ready for release