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Robust Multidimensional Scaling (Robust MDS)×Multidimensionaalne skaalimine (MDS)×
ValdkondStatistikaStatistika
PerekondLatent structureLatent structure
Tekkeaasta2002 (robust extension); 1952 (classical MDS)1952–1964
LoojaHubert, Arabie, and Meulman (robust extensions); classical MDS by Torgerson (1952)Warren S. Torgerson (metric MDS, 1952); Joseph B. Kruskal (non-metric MDS, 1964)
TüüpDimensionality reduction / proximity scalingDimensionality reduction / visualization
AlgallikasHubert, 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 ↗Kruskal, J. B. (1964). Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis. Psychometrika, 29(1), 1–27. DOI ↗
RööpnimetusedRobust MDS, outlier-resistant MDS, robust proximity scalingMDS, metric MDS, non-metric MDS, proximity scaling
Seotud45
KokkuvõteRobust 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.Multidimensional scaling maps objects described only by pairwise similarities or dissimilarities into a low-dimensional geometric space so that distances in that space reflect the original proximity structure as faithfully as possible. It is widely used to visualize the hidden structure of psychological, social, and behavioral data.
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ScholarGateVõrdle meetodeid: Robust Multidimensional Scaling · Multidimensional Scaling. Loetud 2026-06-17 aadressilt https://scholargate.app/et/compare