Independent component analysis for~three-way data with an application from~atmospheric science

DOI10.1007/s13253-011-0055-9zbMath1306.62355OpenAlexW2124242779MaRDI QIDQ2261009

Steffen Unkel, Abdel Hannachi, Nickolay T. Trendafilov, Ian T. Jolliffe

Publication date: 6 March 2015

Published in: Journal of Agricultural, Biological, and Environmental Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13253-011-0055-9

zbMATH Keywords

rotationindependent component analysisspatial patternsthree-way dataTucker3 modelgeopotential heightsgridded climate data

Mathematics Subject Classification ID

Applications of statistics to environmental and related topics (62P12) Meteorology and atmospheric physics (86A10)

Related Items (1)

Factor recovery by principal axis factoring and maximum likelihood factor analysis as a function of factor pattern and sample size

Uses Software

• Matlab
• FastICA
• ElemStatLearn
• N-way Toolbox
• chemometrics

Cites Work

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• A comparison of algorithms for fitting the PARAFAC model
• Principal component analysis of three-mode data by means of alternating least squares algorithms
• Three-way arrays: rank and uniqueness of trilinear decompositions, with application to arithmetic complexity and statistics
• Joint orthomax rotation of the core and component matrices resulting from three-mode principal components analysis
• Three-way SIMPLIMAX for oblique rotation of the three-mode factor analysis core to simple structure.
• Three-mode orthomax rotation
• Principal component analysis.
• A simple general procedure for orthogonal rotation
• Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
• Imposing Independence Constraints in the CP Model
• Annotated bibliography of three-mode factor analysis
• Computation of the Canonical Decomposition by Means of a Simultaneous Generalized Schur Decomposition
• Applied Multiway Data Analysis

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