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Improving PARAFAC-ALS estimates with a double optimization procedure

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Abstract An adaptation of the PARAFAC-ALS algorithm is implemented with the purpose of providing accurate and efficient estimates of CANDECOMP/PARAFAC parameters without being influenced by data characteristics and model specifications.… Click to show full abstract

Abstract An adaptation of the PARAFAC-ALS algorithm is implemented with the purpose of providing accurate and efficient estimates of CANDECOMP/PARAFAC parameters without being influenced by data characteristics and model specifications. This is a dual-optimization procedure in which values are first estimated by SWATLD and then refined through standard ALS steps. The use of an additional optimization phase is suggested with the purpose of canceling out specific ALS inefficiencies such as slow convergence and occurrence of over-factoring degeneracies. A complex simulation study is then implemented in order to identify the most adequate transition point between the stages of the proposed methodology and to show its advantages with respect to standard ALS.

Keywords: optimization; parafac als; als estimates; optimization procedure; improving parafac

Journal Title: Chemometrics and Intelligent Laboratory Systems
Year Published: 2019

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