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 language | English (US) |
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Pages (from-to) | 229-239 |
Number of pages | 11 |
Journal | Journal of Chemometrics |
Volume | 14 |
Issue number | 3 |
DOIs | |
State | Published - 2000 |
Externally published | Yes |
Keywords
- CANDECOMP
- INDSCAL
- Identifiability
- Khatri-Rao product
- Multidimensional scaling
- Multilinear algebra
- Multilinear decomposition
- Multiway analysis
- PARAFAC
- Rank
- Uniqueness