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Robustne kanooniline korrelatsioonianalüüs (Robust CCA)×Robust Multidimensional Scaling (Robust MDS)×
ValdkondStatistikaStatistika
PerekondLatent structureLatent structure
Tekkeaasta20032002 (robust extension); 1952 (classical MDS)
LoojaCroux & Dehon (building on Hotelling's CCA framework)Hubert, Arabie, and Meulman (robust extensions); classical MDS by Torgerson (1952)
TüüpRobust multivariate associationDimensionality reduction / proximity scaling
AlgallikasCroux, C. & Dehon, C. (2003). Robust estimation of the canonical correlations. Computational Statistics, 18(3), 555–569. link ↗Hubert, L., Arabie, P. & Meulman, J. (2002). Linear unidimensional scaling in the L2-norm: Basic optimization methods using SMACOF. Journal of Classification, 19(2), 303–327. link ↗
RööpnimetusedRobust CCA, RCCA, robust CCA, outlier-resistant canonical correlationRobust MDS, outlier-resistant MDS, robust proximity scaling
Seotud44
KokkuvõteRobust canonical correlation analysis extends classical CCA by replacing the standard sample covariance matrix with a robust estimator — such as the Minimum Covariance Determinant (MCD) or S-estimator — so that outlying observations do not distort the estimated canonical correlations and canonical variates between two sets of variables.Robust multidimensional scaling recovers a low-dimensional spatial map from a matrix of pairwise dissimilarities while resisting distortion caused by outlying or erroneous proximity values. By replacing squared-error loss with a robust loss function or down-weighting suspect pairs, it produces a configuration that faithfully represents the bulk of the data even when some distances are grossly atypical.
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ScholarGateVõrdle meetodeid: Robust Canonical Correlation Analysis · Robust Multidimensional Scaling. Loetud 2026-06-17 aadressilt https://scholargate.app/et/compare