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New Uniqueness Conditions for the Canonical Polyadic Decomposition of Third-Order Tensors - MaRDI portal

New Uniqueness Conditions for the Canonical Polyadic Decomposition of Third-Order Tensors (Q3195440)

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Language	Label	Description	Also known as
English	New Uniqueness Conditions for the Canonical Polyadic Decomposition of Third-Order Tensors	scientific article

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scholarly article

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New Uniqueness Conditions for the Canonical Polyadic Decomposition of Third-Order Tensors (English)

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Mikael Sørensen

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Lieven De Lathauwer

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SIAM Journal on Matrix Analysis and Applications

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publication date

19 October 2015

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full work available at URL

https://semanticscholar.org/paper/c18d5977bdcec3311de8bffd2d1d6067885131de

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zbMATH Keywords

tensor

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polyadic decomposition

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parallel factor

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canonical decomposition

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canonical polyadic decomposition

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MaRDI profile type

MaRDI publication profile

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A Link between the Canonical Decomposition in Multilinear Algebra and Simultaneous Matrix Diagonalization

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On the Uniqueness of the Canonical Polyadic Decomposition of Third-Order Tensors---Part I: Basic Results and Uniqueness of One Factor Matrix

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On the Uniqueness of the Canonical Polyadic Decomposition of Third-Order Tensors---Part II: Uniqueness of the Overall Decomposition

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Almost-sure identifiability of multidimensional harmonic retrieval

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Kruskal's Permutation Lemma and the Identification of CANDECOMP/PARAFAC and Bilinear Models with Constant Modulus Constraints

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Applied Multiway Data Analysis

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Tensor Decompositions and Applications

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Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics

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Tensor Algebra and Multidimensional Harmonic Retrieval in Signal Processing for MIMO Radar

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Tensor-Based Channel Estimation and Iterative Refinements for Two-Way Relaying With Multiple Antennas and Spatial Reuse

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Khatri-Rao space-time codes

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Optimization-Based Algorithms for Tensor Decompositions: Canonical Polyadic Decomposition, Decomposition in Rank-$(L_r,L_r,1)$ Terms, and a New Generalization

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Canonical Polyadic Decomposition with a Columnwise Orthonormal Factor Matrix

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

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Coupled Canonical Polyadic Decompositions and (Coupled) Decompositions in Multilinear Rank- $(L_{r,n},L_{r,n},1)$ Terms---Part II: Algorithms

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On Kruskal's uniqueness condition for the Candecomp/Parafac decomposition

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On Uniqueness of the Canonical Tensor Decomposition with Some Form of Symmetry

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Identifiers

zbMATH Open document ID

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10.1137/140964813

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3195440

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