Uni-mode and Partial Uniqueness Conditions for CANDECOMP/PARAFAC of Three-Way Arrays with Linearly Dependent Loadings

DOI10.1137/110825765zbMath1246.15026OpenAlexW2130629120MaRDI QIDQ2903114

Xijing Guo, Sebastian Miron, David Brie, Alwin Stegeman

Publication date: 23 August 2012

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://pure.rug.nl/ws/files/66720936/110825765.pdf

zbMATH Keywords

uni-mode uniquenessCANDECOMP/PARAFACpartial uniquenessPARALINDCONFACconstrained factorsparallel profiles with linear dependencies

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Multilinear algebra, tensor calculus (15A69)

Related Items (4)

Canonical polyadic decomposition of third-order tensors: relaxed uniqueness conditions and algebraic algorithm ⋮ $(L_r,L_r,1)$-Decompositions, Sparse Component Analysis, and the Blind Separation of Sums of Exponentials ⋮ Uni-mode uniqueness conditions for CANDECOMP/PARAFAC decomposition of \(n\)-way arrays with linearly dependent loadings ⋮ Face Representations via Tensorfaces of Various Complexities

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