Multidimensional scaling with constraints on the configuration

DOI10.1016/0047-259X(90)90043-HzbMath0699.62064MaRDI QIDQ913416

Rudolf Mathar

Publication date: 1990

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

gaugematrix normsdistance matrixEuclidean distance matrixMajorization inequalitiesmeasures of closenessorthogonal invariant norm

Mathematics Subject Classification ID

Multivariate analysis (62H99) Classification and discrimination; cluster analysis (statistical aspects) (62H30)

Related Items (3)

Structure-based hyperparameter selection with Bayesian optimization in multidimensional scaling ⋮ Adequateness and interpretability of objective functions in ordinal data analysis ⋮ Consistency in ordinal data analysis. I.

Cites Work

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• The best Euclidean fit to a given distance matrix in prescribed dimensions
• A model and algorithm for multidimensional scaling with external constraints on the distances
• Constrained multidimensional scaling in n spaces
• Restricted multidimensional scaling models
• Optimal regression designs with previous observations
• Rearrangement Inequalities
• Inequalities: theory of majorization and its applications

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