A nonlinear PLS model

Abstract Frank, I.E., 1990. A nonlinear PLS model. Chemometrics and Intelligent Laboratory Systems, 8: 109–119. A nonlinear extension of the PLS (partial least squares regression) method is introduced. The algorithm connects the predictor and response latent variables by a smooth but otherwise unrestricted nonlinear function. Similarities and differences between the linear and nonlinear PLS models are discussed. The performance of the new nonlinear PLS method is illustrated on three chemical data sets with different covariance structures.