The Candecomp/Parafac model is a widely-used tool for synthetizing three-way arrays through a limited number of components. Unfortunately, its applicability may be prevented by the risk of obtaining degenerate solutions, characterized by diverging, highly collinear and uninterpretable components. A recognized remedy is to impose (soft) orthogonality constraints to the components. In this context, a new strategy for solving the degeneracy problem where the orthogonality constraints are suitably relaxed depending on the data is proposed. This allows for a comparative assessment of some existing remedies against degeneracy from both the theoretical and practical point of views.

Some clarifications of remedies for Candecomp/Parafac degeneracy by means of an SVD-penalized approach / Giordani, Paolo; Rocci, Roberto. - In: CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS. - ISSN 0169-7439. - 162:(2017), pp. 172-181. [10.1016/j.chemolab.2017.01.011]

Some clarifications of remedies for Candecomp/Parafac degeneracy by means of an SVD-penalized approach

GIORDANI, Paolo;ROCCI, Roberto
2017

Abstract

The Candecomp/Parafac model is a widely-used tool for synthetizing three-way arrays through a limited number of components. Unfortunately, its applicability may be prevented by the risk of obtaining degenerate solutions, characterized by diverging, highly collinear and uninterpretable components. A recognized remedy is to impose (soft) orthogonality constraints to the components. In this context, a new strategy for solving the degeneracy problem where the orthogonality constraints are suitably relaxed depending on the data is proposed. This allows for a comparative assessment of some existing remedies against degeneracy from both the theoretical and practical point of views.
2017
aandecomp/parafac; degeneracy; singular value decomposition; analytical chemistry; software; computer sciencea applications; computer vision and pattern recognition; spectroscopy; process chemistry and technology
01 Pubblicazione su rivista::01a Articolo in rivista
Some clarifications of remedies for Candecomp/Parafac degeneracy by means of an SVD-penalized approach / Giordani, Paolo; Rocci, Roberto. - In: CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS. - ISSN 0169-7439. - 162:(2017), pp. 172-181. [10.1016/j.chemolab.2017.01.011]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/953795
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