Better initial configurations for metric multidimensional scaling

DOI10.1016/S0167-9473(02)00145-7zbMath1031.91099MaRDI QIDQ1874126

Samuel W. Malone, Michael W. Trosset, Pablo Tarazaga

Publication date: 22 May 2003

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

zbMATH Keywords

Global optimizationSpectral decompositionDistance geometryDistance matricesLow rank approximationsStress and sstress criteria

Mathematics Subject Classification ID

Distance geometry (51K99) Eigenvalues, singular values, and eigenvectors (15A18) One- and multidimensional scaling in the social and behavioral sciences (91C15)

Related Items (1)

2nd special issue on matrix computations and statistics

Cites Work

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• The tunneling method for global optimization in multidimensional scaling
• On certain linear mappings between inner-product and squared-distance matrices
• The embedding problem for predistance matrices
• The Solution of the Metric STRESS and SSTRESS Problems in Multidimensional Scaling Using Newtons Method
• Extensions of classical multidimensional scaling via variable reduction
• Connections between the real positive semidefinite and distance matrix completion problems
• Remarks to Maurice Frechet's article ``Sur la definition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert
• Multidimensional scaling. I: Theory and method
• Some properties of clasical multi-dimesional scaling
• Some distance properties of latent root and vector methods used in multivariate analysis

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