Coupled Canonical Polyadic Decompositions and (Coupled) Decompositions in Multilinear Rank-$(L_r,n,L_r,n,1)$ Terms---Part I: Uniqueness

DOI10.1137/140956853zbMath1320.15010OpenAlexW1562564874MaRDI QIDQ5254389

Mikael Sørensen, Lieven De Lathauwer

Publication date: 9 June 2015

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

Full work available at URL: https://doi.org/10.1137/140956853

zbMATH Keywords

higher-order tensorcanonical polyadic decompositioncanonical decomposition (CANDECOMP)parallel factor (PARAFAC)coupled matrix-tensor factorizationcoupled decompositions

Mathematics Subject Classification ID

Factorization of matrices (15A23) Multilinear algebra, tensor calculus (15A69) Matrix pencils (15A22)

Related Items (13)

New Uniqueness Conditions for the Canonical Polyadic Decomposition of Third-Order Tensors ⋮ Computing the unique CANDECOMP/PARAFAC decomposition of unbalanced tensors by homotopy method ⋮ Effective Criteria for Specific Identifiability of Tensors and Forms ⋮ A generalization of Kruskal’s theorem on tensor decomposition ⋮ Bayesian multi-tensor factorization ⋮ An Algebraic Approach to Nonorthogonal General Joint Block Diagonalization ⋮ Nonlinear algebra and applications ⋮ Covariate-Assisted Sparse Tensor Completion ⋮ Bilinear factorizations subject to monomial equality constraints via tensor decompositions ⋮ Perturbation analysis for matrix joint block diagonalization ⋮ A note on nonclosed tensor formats ⋮ Fiber Sampling Approach to Canonical Polyadic Decomposition and Application to Tensor Completion ⋮ Coupled Canonical Polyadic Decompositions and (Coupled) Decompositions in Multilinear Rank- $(L_{r,n},L_{r,n},1)$ Terms---Part II: Algorithms

Cites Work

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