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Rank Properties for Centred Three-Way Arrays

Albers, C. J.; Gower, J. C. and Kiers, H. A. L. (2018). Rank Properties for Centred Three-Way Arrays. In: Mola, F.; Conversano, C. and Vichi, M. eds. Classification, (Big) Data Analysis and Statistical Learning. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, pp. 69–76.

DOI (Digital Object Identifier) Link: https://doi.org/10.1007/978-3-319-55708-3_8
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Abstract

When analysing three-way arrays, it is a common practice to centre the arrays. Depending on the context, centring is performed over one, two or three modes. In this paper, we outline how centring affects the rank of the array; both in terms of maximum rank and typical rank.

Item Type: Book Section
ISBN: 3-319-55708-4, 978-3-319-55708-3
ISSN: 1431-8814
Keywords: Three-way analysis; Multiway analysis; Maximum rank; Typical rank; CANDECOMP/PARAFAC
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 58475
Depositing User: ORO Import
Date Deposited: 02 Jan 2019 09:44
Last Modified: 29 Mar 2019 10:37
URI: http://oro.open.ac.uk/id/eprint/58475
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