A contribution to the study of the metric and Euclidean structures of dissimilarities

DOI10.1007/BF02294337zbMath0866.92027MaRDI QIDQ676499

Francis Caillez, Pascale Kuntz

Publication date: 18 March 1997

Published in: Psychometrika (Search for Journal in Brave)

zbMATH Keywords

dissimilarity coefficientsEuclideanarity

Mathematics Subject Classification ID

One- and multidimensional scaling in the social and behavioral sciences (91C15)

Cites Work

• A classification of presence/absence based dissimilarity coefficients
• The analytical solution of the additive constant problem
• Properties of Euclidean and non-Euclidean distance matrices
• Metric and Euclidean properties of dissimilarity coefficients
• Two classes of element-wise transformations preserving the psd nature of coefficient matrices
• Representation of structure in similarity data: problems and prospects
• Some boundary conditions for a monotone analysis of symmetric matrices
• Remarks to Maurice Frechet's article ``Sur la definition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert
• On certain metric spaces arising from euclidean spaces by a change of metric and their imbedding in Hilbert space
• Metric Transforms and Euclidean Embeddings
• Some distance properties of latent root and vector methods used in multivariate analysis
• Metric Spaces and Positive Definite Functions
• Fourier Integrals and Metric Geometry
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