Non-triviality and identification of a constrained Tucker3 analysis

摘要: Properties of estimated parameters models chemical systems are important. This paper focuses on two properties such parameters: triviality and uniqueness. If a system is analyzed using Tucker3 model, then the resulting core can often be rotated to simple structure containing zeros. means that it possible prespecified pattern zero non-zero elements core, as used in e.g. constrained models, not an active constraint, is, zeros obtained trivially for free. Once non-trivial specified, question arises whether this sufficient obtaining unique loadings. Both issues discussed shown model by Gurden et al. (J. Chemometrics 2001; 15: 101-121) does essentially involve implies rotationally parameter estimates. Copyright (C) 2002 John Wiley Sons, Ltd.