Generalized approaches to the Maxbet problem and the Maxdiff problem, with applications to canonical correlations

DOI10.1007/BF02294402zbMath0726.62086OpenAlexW2075529034MaRDI QIDQ804162

Jos M. F. ten Berge

Publication date: 1988

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02294402

zbMATH Keywords

canonical correlationorthogonality constraintsProcrustes rotationmatching configurationsMAXCORsuccessive blocksSUMCOR

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Applications of statistics to psychology (62P15)

Related Items (18)

Riemannian Trust-Region Method for the Maximal Correlation Problem ⋮ A self-consistent-field iteration for MAXBET with an application to multi-view feature extraction ⋮ Regularized generalized canonical correlation analysis for multiblock or multigroup data analysis ⋮ Maximization of Matrix Trace Function of Product Stiefel Manifolds ⋮ OVERALS: Nonlinear canonical correlation with \(k\) sets of variables ⋮ Regularized generalized canonical correlation analysis: a framework for sequential multiblock component methods ⋮ The Generalized Multiple CO-inertia Analysis (GMCOA) ⋮ Towards the global solution of the maximal correlation problem ⋮ On convergence of iterative methods for maximal correlation problems ⋮ An alternating variable method for the maximal correlation problem ⋮ Picture of all solutions of successive 2-block maxbet problems ⋮ A simultaneous CONCOR algorithm for the analysis of two partitioned matrices ⋮ Regularized generalized canonical correlation analysis ⋮ Global optimality of the successive Maxbet algorithm ⋮ Analysis of \(k\) sets of data, with differential emphasis on agreement between and within sets ⋮ Orthogonal Trace-Sum Maximization: Applications, Local Algorithms, and Global Optimality ⋮ A Structure-Exploiting Nested Lanczos-Type Iteration for the Multiview Canonical Correlation Analysis ⋮ Maximizing sum of coupled traces with applications

Cites Work

• Unnamed Item
• Relations among \(m\) sets of measures
• Interpretation of canonical analysis: Rotated vs. unrotated solutions
• Orthogonal Procrustes rotation for two or more matrices
• A direct approach to individual differences scaling using increasingly complex transformations
• Computational aspects of F. L. Bauer's simultaneous iteration method
• Canonical analysis of several sets of variables

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