2011
DOI: 10.1002/cem.1341
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Hard–soft modeling parallel factor analysis to solve equilibrium processes

Abstract: PARAFAC model is the most famous model for analyzing three-way data. However, this method does not converge to chemically meaningful solutions when applied to three-way problems involving rank overlap profiles at least in one mode. Rank overlap can be simply found where components have similar spectral profiles or analytes appearing in identical proportions throughout an experiment. However, an appropriate selection of the initial parameters and constraints such as non-negativity and unimodality can still make… Show more

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Cited by 15 publications
(7 citation statements)
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“…The popularity of the PARAFAC is due to its uniqueness property . Although the PARAFAC is not unique in the presence of rank overlap at least in one dimension of data and it may result in false minima, appropriate selection of the initial parameters and restrictions (eg, nonnegativity and selectivity) still makes PARAFAC useful in this regard …”
Section: Theorymentioning
confidence: 99%
“…The popularity of the PARAFAC is due to its uniqueness property . Although the PARAFAC is not unique in the presence of rank overlap at least in one dimension of data and it may result in false minima, appropriate selection of the initial parameters and restrictions (eg, nonnegativity and selectivity) still makes PARAFAC useful in this regard …”
Section: Theorymentioning
confidence: 99%
“…In the pH range of 2.2 to 12.0, 39 EEMs of the Pyridoxine were recorded. Data array (emission × excitation × pH) was subjected to the HSPARAFAC analysis with Sajjadi and Abdollahi . More details about the pyridoxine data set were reported .…”
Section: Real Experimentsmentioning
confidence: 99%
“…Abdollahi and Sajjadi studied the rotational ambiguity in PARAFAC analysis . Later, Sajjadi and Abdollahi presented hard–soft modeling PARAFAC analysis to solve equilibrium processes . Hard constraints were introduced to force some or all of the concentration profiles to fulfill an equilibrium model that is refined at each iteration cycle of the optimization process of PARAFAC.…”
Section: Review Of Some Published Materials By Iranian Chemists In DImentioning
confidence: 99%