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On uniqueness conditions for Candecomp/Parafac and Indscal with full column rank in one mode - MaRDI portal

On uniqueness conditions for Candecomp/Parafac and Indscal with full column rank in one mode (Q1019648)

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Please use this page instead for the normal view: On uniqueness conditions for Candecomp/Parafac and Indscal with full column rank in one mode

scientific article; zbMATH DE number 5561622

Language	Label	Description	Also known as
English	On uniqueness conditions for Candecomp/Parafac and Indscal with full column rank in one mode	scientific article; zbMATH DE number 5561622

Statements

scholarly article

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On uniqueness conditions for Candecomp/Parafac and Indscal with full column rank in one mode (English)

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Linear Algebra and its Applications

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publication date

4 June 2009

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zbMATH Keywords

Candecomp

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Parafac

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Indscal

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three-way arrays

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uniqueness

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describes a project that uses

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.laa.2009.02.025

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Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young'' decomposition

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

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Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem

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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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On the non-existence of optimal solutions and the occurrence of ``degeneracy'' in the CANDECOMP/PARAFAC model

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Applied Multiway Data Analysis

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

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Degeneracy in Candecomp/Parafac explained for \(p\times p\times 2\) arrays of rank \(p+1\) or higher

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Degeneracy in Candecomp/Parafac and Indscal explained for several three-sliced arrays with a two-valued typical rank

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Low-Rank Approximation of Generic $p \timesq \times2$ Arrays and Diverging Components in the Candecomp/Parafac Model

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Kruskal's condition for uniqueness in Candecomp/Parafac when ranks and \(k\)-ranks coincide

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Sufficient conditions for uniqueness in Candecomp/Parafac and Indscal with random component matrices

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

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Some clarifications of the CANDECOMP algorithm applied to INDSCAL

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On uniqueness in CANDECOMP/PARAFAC

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Typical rank and indscal dimensionality for symmetric three-way arrays of order \(I\times 2\times 2\) or \(I\times 3\times 3\)

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A comparison of algorithms for fitting the PARAFAC model

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.LAA.2009.02.025

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Sitelinks

Mathematics(1 entry)

mardi Publication:1019648

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