Some properties of the normed alternating least squares (ALS) algorithm

DOI10.1080/02331938808843383zbMath0671.65116OpenAlexW1982521742MaRDI QIDQ3823780

Jürgen Hansohm

Publication date: 1988

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331938808843383

zbMATH Keywords

algorithmConvergencelinearprojection methodsregressionimplementationconstrained nonlinear optimizationoptimal scalingnormed alternating least squares algorithmpolyhedral convex cone restrictions

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Numerical mathematical programming methods (65K05) Probabilistic methods, stochastic differential equations (65C99)

Related Items

On a Problem of Weighted Low-Rank Approximation of Matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Nonmetric individual differences multidimensional scaling: An alternating least squares method with optimal scaling features
• Principal component analysis of three-mode data by means of alternating least squares algorithms
• An individual differences additive model: An alterating least squares method with optimal scaling features
• Component models for three-way data: An alternating least squares algorithm with optimal scaling features
• Quantitative analysis of qualitative data
• Methods for describing ordinal data with cardinal models
• Additive structure in qualitative data: An alternating least squares method with optimal scaling features
• Regression with qualitative and quantitative variables: An alternating least squares method with optimal scaling features
• The principal components of mixed measurement level multivariate data: An alternating least squares method with optimal scaling features
• Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis
• Nonmetric multidimensional scaling. A numerical method