On multi-way metricity, minimality and diagonal planes

DOI10.1007/s11634-008-0026-3zbMath1306.62037OpenAlexW1995658259MaRDI QIDQ484229

Matthijs J. Warrens

Publication date: 18 December 2014

Published in: Advances in Data Analysis and Classification. ADAC (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11634-008-0026-3

zbMATH Keywords

tesseracttetrahedron inequalitydiagonal plane equalitymulti-way dissimilaritymulti-way symmetrythree-way block

Mathematics Subject Classification ID

Multivariate analysis (62H99) Foundations and philosophical topics in statistics (62A01) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items

Equivalences of weighted kappas for multiple raters ⋮ \(n\)-way metrics

Cites Work

• Triadic distance models: axiomatization and least squares representation
• \(n\)-semimetrics
• A comparison of the multidimensional scaling of triadic and dyadic distances
• Small cones of \(m\)-hemimetrics
• Three-way distances
• Galois closed entity sets and \(k\)-balls of quasi-ultrametric multi-way dissimilarities
• Description-meet compatible multiway dissimilarities
• The analysis of free-sorting data: Beyond pairwise cooccurrences
• Multidimensional scaling for n-tuples
• A Multidimensional Scaling Model for Three-Way Data Analysis