An efficient alternating least-squares algorithm to perform multidimensional unfolding

DOI10.1007/BF02293982zbMath0607.65099MaRDI QIDQ1085593

Michael J. Greenacre, Michael W. Browne

Publication date: 1986

Published in: Psychometrika (Search for Journal in Brave)

zbMATH Keywords

optimal solutionunfoldingleast-squares fittingconditional minimizationALSCAL algorithmefficient alternating least-squares algorithmglobal optimiumleast-squares-squared scalingRamsay's acceleration techniqueroot of nonlinear equation

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Linear regression; mixed models (62J05) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Probabilistic methods, stochastic differential equations (65C99)

Related Items (11)

Correspondence and canonical analysis of relational data ⋮ Unnamed Item ⋮ A new heterogeneous multidimensional unfolding procedure ⋮ A beta unfolding model for continuous bounded responses ⋮ A model-based approach for visualizing the dimensional structure of ordered successive categories preference data ⋮ Gleaning in the field of dual scaling ⋮ Improved bounds for optimal intervals in weakly constrained regression problems ⋮ A general solution for a class of weakly constrained linear regression problems ⋮ Unfolding a symmetric matrix ⋮ Unnamed Item ⋮ GENFOLD 2: A set of models and algorithms for the GENeral unFOLDing analysis of preference/dominance data

Cites Work

• Nonmetric individual differences multidimensional scaling: An alternating least squares method with optimal scaling features
• On a connection between factor analysis and multidimensional unfolding
• Solving implicit equations in psychometric data analysis
• Metric unfolding: Data requirement for unique solution P clarification of Schönemann's algorithm
• A generalization of the interpoint distance model
• On metric multidimensional unfolding
• A Rapidly Convergent Descent Method for Minimization
• Linear Statistical Inference and its Applications

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