Frank L. Hitchcock’s scientific contributions

... Recently, the linked-mode PAR AFAC-PCA (LMPCA) model was proposed to analyse such coupled data ). The LMPCA model is a global model in which a three-way array is decomposed according to Parafac (Carroll & Chang, 1970;Harshman, 1970;Hitchcock, 1927) and a two-way matrix with PCA (Hotelling, 1933;Jolliffe, 2002;Pearson, 1901), and the components for the common mode are constrained to be equal for both data blocks. To estimate the parameters of the LMPCA model, the authors proposed a simultaneous fitting strategy in which a weighted loss function is optimized by means of an alternating least squares (ALS) algorithm (de Leeuw, 1994;Kroonenberg & De Leeuw, 1980;ten Berge, 1993). ...

Reference:

Data fusion by T3-PCA: A global model for the simultaneous analysis of coupled three-way and two-way real-valued data