Multiway calibration. Multilinear PLS

A new multiway regression method called N‐way partial least squares (N‐PLS) is presented. The emphasis is on the three‐way PLS version (tri‐PLS), but it is shown how to extend the algorithm to higher orders. The developed algorithm is superior to unfolding methods, primarily owing to a stabilization of the decomposition. This stabilization potentially gives increased interpretability and better predictions. The algorithm is fast compared with e.g. PARAFAC, because it consists of solving eigenvalue problems.