The out-of-sample problem for classical multidimensional scaling

DOI10.1016/j.csda.2008.02.031zbMath1452.62132OpenAlexW2146199513MaRDI QIDQ1023816

Michael W. Trosset, Carey E. Priebe

Publication date: 16 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.csda.2008.02.031

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Classification and discrimination; cluster analysis (statistical aspects) (62H30)

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Cites Work

• Unnamed Item
• Semisupervised learning from dissimilarity data
• Properties of Euclidean and non-Euclidean distance matrices
• On certain linear mappings between inner-product and squared-distance matrices
• Computing large deformation metric mappings via geodesic flows of diffeomorphisms
• 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
• Generalized discriminant analysis based on distances
• Adding a point to vector diagrams in multivariate analysis