Some new results on orthogonally constrained Candecomp

DOI10.1007/s00357-011-9086-8zbMath1241.65038OpenAlexW1969845968MaRDI QIDQ649165

Jos M. F. ten Berge, Jorge N. Tendeiro, Mohammed Bennani Dosse

Publication date: 30 November 2011

Published in: Journal of Classification (Search for Journal in Brave)

Full work available at URL: https://pure.rug.nl/ws/files/111692879/Dosse2011_Article_SomeNewResultsOnOrthogonallyCo.pdf

zbMATH Keywords

fittingthree-way dataCandecompindortIndort algorithmIndscalnon-negative least squaressimultaneous approachsuccessive approach

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Uses Software

• QuickBasic

Cites Work

• Unnamed Item
• Some clarifications of the CANDECOMP algorithm applied to INDSCAL
• Extrema of sums of heterogeneous quadratic forms
• Computational solutions for the problem of negative saliences and nonsymmetry in INDSCAL
• On a general transformation making a dissimilarity matrix Euclidean
• Degeneracy in Candecomp/Parafac and Indscal explained for several three-sliced arrays with a two-valued typical rank
• The assumption of proportional components when Candecomp is applied to symmetric matrices in the context of INDSCAL
• Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
• Explicit Candecomp/Parafac solutions for a contrived 2\(\times 2\times 2\) array of rank three

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