Sensitivity analysis of the strain criterion for multidimensional scaling

DOI10.1016/j.csda.2004.07.011zbMath1429.62275OpenAlexW2150381999MaRDI QIDQ959142

Michael W. Trosset, Robert Michael Lewis

Publication date: 11 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.csda.2004.07.011

zbMATH Keywords

distance geometryspectral decompositionperturbation analysisdistance matricesclassical multidimensional scalingprincipal coordinate analysis

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Multivariate analysis (62H99)

Related Items

2nd special issue on matrix computations and statistics

Uses Software

• L-BFGS
• TRON

Cites Work

• On certain linear mappings between inner-product and squared-distance matrices
• Modern multidimensional scaling: theory and applications
• A new formulation of the nonmetric strain problem in multidimensional scaling
• Distance matrix completion by numerical optimization
• Extensions of classical multidimensional scaling via variable reduction
• Multidimensional scaling. I: Theory and method
• Twice Differentiable Spectral Functions
• A Numerical Study of the Limited Memory BFGS Method and the Truncated-Newton Method for Large Scale Optimization
• On the Solution of Large Quadratic Programming Problems with Bound Constraints
• Newton's Method for Large Bound-Constrained Optimization Problems
• Derivatives of Spectral Functions
• Some distance properties of latent root and vector methods used in multivariate analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item