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CP decomposition of 4th-order tensors of compositions

Conference Paper
Publication Date:
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 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.
Iris type:
4.1 Contributo in Atti di convegno
Keywords:
CoDa, CANDECOMP/PARAFAC, logratio, higher order decomposition, parameter estimation
List of contributors:
Simonacci, Violetta; Menini, Tullio; Gallo, Michele
Authors of the University:
GALLO Michele
MENINI Tullio
Handle:
https://unora.unior.it/handle/11574/228900
Full Text:
https://unora.unior.it//retrieve/handle/11574/228900/157025/IES2022-book.pdf
Book title:
Book of short papers. IES 2022 Innovation & society 5.0: statistical and economic methodologies for quality assessment
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