Three-way SIMPLIMAX for oblique rotation of the three-mode factor analysis core to simple structure.

DOI10.1016/S0167-9473(98)00041-3zbMath1042.62559OpenAlexW1995557550MaRDI QIDQ1274826

Henk A. L. Kiers

Publication date: 12 January 1999

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-9473(98)00041-3

zbMATH Keywords

Components analysisSimple structureThree-way data

Mathematics Subject Classification ID

Related Items (13)

Finding the limit of diverging components in three-way Candecomp/Parafac -- a demonstration of its practical merits ⋮ Simultaneous component analysis by means of Tucker3 ⋮ Sparse Tucker2 analysis of three-way data subject to a constrained number of zero elements in a core array ⋮ Simplicity and typical rank results for three-way arrays ⋮ Transforming three-way arrays to maximal simplicity ⋮ A case of extreme simplicity of the core matrix in three-mode principal components analysis ⋮ Three-way Tucker2 component analysis solutions of stimuli \(\times \) responses \(\times \) individuals data with simple structure and the fewest core differences ⋮ Independent component analysis for~three-way data with an application from~atmospheric science ⋮ Simplicity transformations for three-way arrays with symmetric slices, and applications to Tucker-3 models with sparse core arrays ⋮ Joint Procrustes analysis for simultaneous nonsingular transformation of component score and loading matrices ⋮ Three-mode factor analysis by means of Candecomp/Parafac ⋮ Tucker-3 decomposition with sparse core array using a penalty function based on Gini-index ⋮ A general algorithm for obtaining simple structure of core arrays in \(N\)-way PCA with application to fluorometric data

Cites Work

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• Principal component analysis of three-mode data by means of alternating least squares algorithms
• Transformation of a three-mode multidimensional scaling solution to INDSCAL form
• Uniqueness of three-mode factor models with sparse cores: The \(3\times 3\times 3\) case
• Three-mode orthomax rotation
• The TUCKALS line. A suite of programs for three-way data analysis
• Simplimax: Oblique rotation to an optimal target with simple structure
• A case of extreme simplicity of the core matrix in three-mode principal components analysis
• A general rotation criterion and its use in orthogonal rotation
• Annotated bibliography of three-mode factor analysis
• OBLIQUE ROTATION TO A PARTIALLY SPECIFIED TARGET

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