A model and algorithm for multidimensional scaling with external constraints on the distances

DOI10.1007/BF02293597zbMath0436.62095OpenAlexW1986929032MaRDI QIDQ1140955

Ingwer Borg, James C. Lingoes

Publication date: 1980

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02293597

zbMATH Keywords

algorithmhypothesis testingnonlinear optimizationmodelgeometric modelsconstrained multidimensional scaling

Mathematics Subject Classification ID

Multivariate analysis (62H99) Nonlinear programming (90C30) Applications of statistics to psychology (62P15)

Related Items (14)

Some simple algorithms for structural comparison ⋮ Trace ratio optimization with an application to multi-view learning ⋮ Scaled Torus Principal Component Analysis ⋮ Multidimensional scaling with constraints on the configuration ⋮ Resistant orthogonal Procrustes analysis ⋮ A uniform approach to multidimensional scaling ⋮ Was Euclid an unnecessarily sophisticated psychologist? ⋮ Avoiding degeneracy in multidimensional unfolding by penalizing on the coefficient of variation ⋮ Comparing training-image based algorithms using an analysis of distance ⋮ An Eigenvalue-Based Method for the Unbalanced Procrustes Problem ⋮ Constrained Best Euclidean Distance Embedding on a Sphere: A Matrix Optimization Approach ⋮ Maximizing sum of coupled traces with applications ⋮ GENFOLD 2: A set of models and algorithms for the GENeral unFOLDing analysis of preference/dominance data ⋮ Determining the dimensionality of multidimensional scaling representations for cognitive modeling

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