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| Analyse Multidimensionnelle Robuste (MDS robuste)× | L'Échelle multidimensionnelle (MDS)× | |
|---|---|---|
| Domaine | Statistique | Statistique |
| Famille | Latent structure | Latent structure |
| Année d'origine≠ | 2002 (robust extension); 1952 (classical MDS) | 1952–1964 |
| Auteur d'origine≠ | Hubert, Arabie, and Meulman (robust extensions); classical MDS by Torgerson (1952) | Warren S. Torgerson (metric MDS, 1952); Joseph B. Kruskal (non-metric MDS, 1964) |
| Type≠ | Dimensionality reduction / proximity scaling | Dimensionality reduction / visualization |
| Source fondatrice≠ | 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 ↗ | Kruskal, J. B. (1964). Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis. Psychometrika, 29(1), 1–27. DOI ↗ |
| Alias≠ | Robust MDS, outlier-resistant MDS, robust proximity scaling | MDS, metric MDS, non-metric MDS, proximity scaling |
| Apparentées≠ | 4 | 5 |
| Résumé≠ | 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. | 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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