Global optimality of the successive Maxbet algorithm

DOI10.1007/BF02296655zbMath1306.62422OpenAlexW2061614817MaRDI QIDQ2259552

Mohamed Hanafi, Jos M. F. ten Berge

Publication date: 4 March 2015

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02296655

zbMATH Keywords

canonical correlationmultivariate eigenvalue problemProcrustes rotationMaxbet

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Measures of association (correlation, canonical correlation, etc.) (62H20) Vector and tensor algebra, theory of invariants (15A72) Multilinear algebra, tensor calculus (15A69) Applications of statistics to psychology (62P15)

Related Items (14)

Riemannian Trust-Region Method for the Maximal Correlation Problem ⋮ A self-consistent-field iteration for MAXBET with an application to multi-view feature extraction ⋮ Maximization of Matrix Trace Function of Product Stiefel Manifolds ⋮ A new method for solving Pareto eigenvalue complementarity problems ⋮ 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 ⋮ Tensor maximal correlation problems ⋮ A simultaneous CONCOR algorithm for the analysis of two partitioned matrices ⋮ Spectral analysis of coupled linear complementarity problems ⋮ Orthogonal Trace-Sum Maximization: Applications, Local Algorithms, and Global Optimality ⋮ A Structure-Exploiting Nested Lanczos-Type Iteration for the Multiview Canonical Correlation Analysis ⋮ A SOR-like AVM for the maximal correlation problem

Cites Work

• Relations among \(m\) sets of measures
• Generalized approaches to the Maxbet problem and the Maxdiff problem, with applications to canonical correlations
• On a Multivariate Eigenvalue Problem, Part I: Algebraic Theory and a Power Method
• Canonical analysis of several sets of variables
• RELATIONS BETWEEN TWO SETS OF VARIATES

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