The CANDECOMP/PARAFAC (CP) model is a well known and frequently used tool for extracting substantial information from a three-way data array. It has several useful characteristics and usually gives meaningful insights about the underlying structure of the data. However, in some cases it has a ‘strange’ behaviour suffering from the so-called ‘degenerate solutions’, i.e. solutions where the components show a diverging pattern and are meaningless. Several authors have investigated the causes of degeneracy concluding that the phenomenon is due to a lack of minimum of the loss function. In this paper, we study the degeneracy of CP limiting our attention to the two-component case. The study is done by introducing a canonical form, called 2DR, which is ‘weakly degeneracy revealing’. On the ground of this framework, degeneracy is studied along with some of the remedies proposed in the literature by using a Tucker3 model having a core in the 2DR form. The analysis gives new insights about the behaviour of the CP model and suggests new ideas on how to deal with degeneracy.
Rocci, R., & Giordani, P. (2010). A weak degeneracy revealing decomposition for the CANDECOMP/PARAFAC model. JOURNAL OF CHEMOMETRICS, 24(2), 57-66.
|Tipologia:||Articolo su rivista|
|Citazione:||Rocci, R., & Giordani, P. (2010). A weak degeneracy revealing decomposition for the CANDECOMP/PARAFAC model. JOURNAL OF CHEMOMETRICS, 24(2), 57-66.|
|IF:||Con Impact Factor ISI|
|Settore Scientifico Disciplinare:||Settore SECS-S/01 - Statistica|
|Revisione (peer review):||Sì, ma tipo non specificato|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1002/cem.1272|
|Stato di pubblicazione:||Pubblicato|
|Data di pubblicazione:||2010|
|Titolo:||A weak degeneracy revealing decomposition for the CANDECOMP/PARAFAC model|
|Autori:||Rocci, R; Giordani, P|
|Appare nelle tipologie:||01 - Articolo su rivista|