Convergence of the sequence of parameters generated by alternating least squares algorithms

DOI10.1016/j.csda.2005.09.003zbMath1157.62304OpenAlexW2038028644MaRDI QIDQ1010381

Wim P. Krijnen

Publication date: 6 April 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.2005.09.003

zbMATH Keywords

data analysissequencealternating least squaresINDSCALSCAinfimumDEDICOMdynamalsINDIOSCALINDORTparafac-2

Mathematics Subject Classification ID

Related Items (6)

Speeding up the convergence of the alternating least squares algorithm using vector \(\varepsilon\) acceleration and restarting for nonlinear principal component analysis ⋮ Acceleration of the alternating least squares algorithm for principal components analysis ⋮ Approximate low-rank factorization with structured factors ⋮ Constrained Candecomp/Parafac via the Lasso ⋮ The special sign indeterminacy of the direct-fitting Parafac2 model: some implications, cautions, and recommendations for simultaneous component analysis ⋮ On the non-existence of optimal solutions and the occurrence of ``degeneracy in the CANDECOMP/PARAFAC model

Uses Software

• PARAFAC

Cites Work

• Inertia characteristics of self-adjoint matrix polynomials
• Principal component analysis of three-mode data by means of alternating least squares algorithms
• Simple structure in component analysis techniques for mixtures of qualitative and quantitative variables
• Fitting longitudinal reduced-rank regression models by alternating least squares
• Minimization of a class of matrix trace functions by means of refined majorization
• Computational solutions for the problem of negative saliences and nonsymmetry in INDSCAL
• Setting up alternating least squares and iterative majorization algorithms for solving various matrix optimization problems
• Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
• The non-singularity of generalized sample covariance matrices
• An alternating least squares algorithm for PARAFAC2 and three-way DEDICOM
• Explicit Candecomp/Parafac solutions for a contrived 2\(\times 2\times 2\) array of rank three
• Remarks on functional canonical variates, alternating least squares methods and ACE
• Matrix Analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convergence of the sequence of parameters generated by alternating least squares algorithms