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Simplicity and Typical Rank Results for Three-Way Arrays

โœ Scribed by Jos M. F. ten Berge

Publisher
Springer
Year
2011
Tongue
English
Weight
297 KB
Volume
76
Category
Article
ISSN
0033-3123

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๐Ÿ“œ SIMILAR VOLUMES

Simplicity of core arrays in three-way p
Simplicity of core arrays in three-way principal component analysis and the typical rank of pร—qร—2 arrays
โœ Jos M.F. Ten Berge; Henk A.L. Kiers ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 115 KB

Interpreting the solution of a Principal Component Analysis of a three-way array is greatly simpliยฎed when the core array has a large number of zero elements. The possibility of achieving this has recently been explored by rotations to simplicity or to simple targets on the one hand, and by mathemat

Generic and typical ranks of multi-way a
Generic and typical ranks of multi-way arrays
โœ P. Comon; J.M.F. ten Berge; L. De Lathauwer; J. Castaing ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 171 KB
Typical rank and indscal dimensionality
Typical rank and indscal dimensionality for symmetric three-way arrays of order Iร—2ร—2 or Iร—3ร—3
โœ Jos M.F ten Berge; Nikolaos D Sidiropoulos; Roberto Rocci ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 226 KB

A peculiar property of three-way arrays is that the rank they typically have does not necessarily coincide with the maximum possible rank, given their order. Typical tensorial rank has much been studied over algebraically closed fields. However, very few results have been found pertaining to the typ