Alternating coupled vectors resolution (ACOVER) method for trilinear analysis of three-way data
A new method, alternating coupled vectors resolution (ACOVER), is developed for trilinear analysis of a three-way data array. First, based on the least-squares principle, four coupled vectors resolution (COVER) errors are proposed. Second, a procedure which resolves the profiles of each component successively is developed. This characteristic of successive resolution provides a natural way to avoid the two-factor degeneracy. Experimental results show that the ACOVER method has the advantage that the resolved profiles of analytical interest an very stable with respect to the estimated component number when the number of components is chosen to be equal to or greater than the actual model dimensionality. This circumvents the dilemma of determining a proper component number for the model, which is difficult to handle for the PARAFAC algorithm. Moreover, the method has much higher convergence rate than the PARAFAC algorithm. Copyright (C) 1999 John Wiley & Sons, Ltd.
alternating coupled vectors resolution (acover) coupled vectors resolution (cover) error parafac algorithm trilinear model three-way data analysis