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 com- plexity 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
2022-01-01
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 com- plexity 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 in questo prodotto:
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