Three-way distances

DOI10.1007/BF03040855zbMath0836.62046OpenAlexW2093777580MaRDI QIDQ1907942

S. Joly, G. Le Calvé

Publication date: 25 February 1996

Published in: Journal of Classification (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03040855

zbMATH Keywords

metric spaceshierarchical cluster analysisprincipal coordinates analysisdissimilarity indicesPrim algorithmsemi-perimeter modelthree-way distancethree-way ultrametric

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Clustering in the social and behavioral sciences (91C20)

Related Items (16)

\(k\)-adic similarity coefficients for binary (presence/absence) data ⋮ Phylogenetic analysis and homology ⋮ Triadic distance models: axiomatization and least squares representation ⋮ The Fiedler Vector of a Laplacian Tensor for Hypergraph Partitioning ⋮ The split decomposition of a \(k\)-dissimilarity map ⋮ Split decomposition over an Abelian group. I: Generalities ⋮ On multi-way metricity, minimality and diagonal planes ⋮ Cluster structures and collections of Galois closed entity subsets ⋮ Dissimilarity functions and divergence measures between fuzzy sets ⋮ Description-meet compatible multiway dissimilarities ⋮ Shortest distance between multiple orbits and generalized fractal dimensions ⋮ Three-way symbolic tree-maps and ultrametrics ⋮ The analysis of free-sorting data: Beyond pairwise cooccurrences ⋮ \(n\)-semimetrics ⋮ \(n\)-way metrics ⋮ Recognizing treelike \(k\)-dissimilarities

Cites Work

• Unnamed Item
• On the shortest spanning subtree of a graph and the traveling salesman problem
• Metric family portraits
• Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis
• Remarks to Maurice Frechet's article ``Sur la definition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert
• Some distance properties of latent root and vector methods used in multivariate analysis

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