Multifold data structures are generally stored in high-dimensional objects defined as nth-order tensors. Generalization of trilinear decompositions such as the CANDECOMP/PARAFAC model can be used for modelling 4th order tensors. The application of these techniques is, however, quite limited due to procedural complexity and interpretational issues. These concerns increase when tensors contain data with a compositional structure. This work aims at addressing these difficulties through an application on Italian university staff.
CP decomposition of 4th-order tensors of compositions / Simonacci, Violetta; Menini, Tullio; Gallo, Michele. - (2022), pp. 44-49. (Intervento presentato al convegno IES 2022 Innovation & Society 5.0: Statistical and Economic Methodologies for Quality Assessment tenutosi a Capua (CE) nel 27-28 Gennaio).
CP decomposition of 4th-order tensors of compositions
Violetta Simonacci
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2022
Abstract
Multifold data structures are generally stored in high-dimensional objects defined as nth-order tensors. Generalization of trilinear decompositions such as the CANDECOMP/PARAFAC model can be used for modelling 4th order tensors. The application of these techniques is, however, quite limited due to procedural complexity and interpretational issues. These concerns increase when tensors contain data with a compositional structure. This work aims at addressing these difficulties through an application on Italian university staff.| File | Dimensione | Formato | |
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