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| Εύρωστη Πολυδιάστατη Κλιμάκωση (Robust MDS)× | Επι-διαστατική Κλιμάκωση (MDS)× | |
|---|---|---|
| Πεδίο | Στατιστική | Στατιστική |
| Οικογένεια | Latent structure | Latent structure |
| Έτος προέλευσης≠ | 2002 (robust extension); 1952 (classical MDS) | 1952–1964 |
| Δημιουργός≠ | Hubert, Arabie, and Meulman (robust extensions); classical MDS by Torgerson (1952) | Warren S. Torgerson (metric MDS, 1952); Joseph B. Kruskal (non-metric MDS, 1964) |
| Τύπος≠ | Dimensionality reduction / proximity scaling | Dimensionality reduction / visualization |
| Θεμελιώδης πηγή≠ | 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 ↗ |
| Εναλλακτικές ονομασίες≠ | Robust MDS, outlier-resistant MDS, robust proximity scaling | MDS, metric MDS, non-metric MDS, proximity scaling |
| Συναφείς≠ | 4 | 5 |
| Σύνοψη≠ | 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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