On the uniqueness of multilinear decomposition of N-way arrays

Nicholas D. Sidiropoulos, Rasmus Bro

Research output: Contribution to journalArticlepeer-review

339 Scopus citations

Abstract

We generalize Kruskal's fundamental result on the uniqueness of trilinear decomposition of three-way arrays to the case of multilinear decomposition of four- and higher-way arrays. The result is surprisingly general and simple and has several interesting ramifications. Copyright (C) 2000 John Wiley and Sons, Ltd.

Original languageEnglish (US)
Pages (from-to)229-239
Number of pages11
JournalJournal of Chemometrics
Volume14
Issue number3
DOIs
StatePublished - Dec 14 2000

Keywords

  • CANDECOMP
  • INDSCAL
  • Identifiability
  • Khatri-Rao product
  • Multidimensional scaling
  • Multilinear algebra
  • Multilinear decomposition
  • Multiway analysis
  • PARAFAC
  • Rank
  • Uniqueness

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