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| Устойчиво многомерно мащабиране (Robust MDS)× | Робустен кореспондентен анализ× | |
|---|---|---|
| Област | Статистика | Статистика |
| Семейство | Latent structure | Latent structure |
| Година на възникване≠ | 2002 (robust extension); 1952 (classical MDS) | 2000s (robust extensions of CA developed since the early 2000s) |
| Създател≠ | Hubert, Arabie, and Meulman (robust extensions); classical MDS by Torgerson (1952) | Greenacre (CA); robust extensions by Croux, Ruiz-Gazen and colleagues |
| Тип≠ | Dimensionality reduction / proximity scaling | Robust dimension reduction for contingency tables |
| Основополагащ източник≠ | 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 ↗ | Croux, C. & Ruiz-Gazen, A. (2005). High breakdown estimators for principal components: the projection-pursuit approach revisited. Journal of Multivariate Analysis, 95(1), 206–226. DOI ↗ |
| Други названия | Robust MDS, outlier-resistant MDS, robust proximity scaling | RCA, outlier-resistant correspondence analysis, robust CA |
| Свързани≠ | 4 | 5 |
| Резюме≠ | 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. | Robust Correspondence Analysis (RCA) extends classical correspondence analysis to contingency tables that contain outlying rows or columns. By replacing the standard singular value decomposition with a robust alternative, RCA produces biplots and coordinate maps that accurately reflect the dominant association structure even when atypical cells or categories exert undue influence on the standard solution. |
| ScholarGateНабор от данни ↗ |
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