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Robustā daudzdimensiju skalēšana (Robust MDS)×Multidimensionālā skalēšana (MDS)×
NozareStatistikaStatistika
SaimeLatent structureLatent structure
Izcelsmes gads2002 (robust extension); 1952 (classical MDS)1952–1964
AutorsHubert, Arabie, and Meulman (robust extensions); classical MDS by Torgerson (1952)Warren S. Torgerson (metric MDS, 1952); Joseph B. Kruskal (non-metric MDS, 1964)
TipsDimensionality reduction / proximity scalingDimensionality reduction / visualization
PirmavotsHubert, 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 ↗
Citi nosaukumiRobust MDS, outlier-resistant MDS, robust proximity scalingMDS, metric MDS, non-metric MDS, proximity scaling
Saistītās45
KopsavilkumsRobust 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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ScholarGateSalīdzināt metodes: Robust Multidimensional Scaling · Multidimensional Scaling. Izgūts 2026-06-17 no https://scholargate.app/lv/compare