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| Anàlisi de correspondències robusta× | Escalament Multidimensional Robus (Robust MDS)× | |
|---|---|---|
| Camp | Estadística | Estadística |
| Família | Latent structure | Latent structure |
| Any d'origen≠ | 2000s (robust extensions of CA developed since the early 2000s) | 2002 (robust extension); 1952 (classical MDS) |
| Autor original≠ | Greenacre (CA); robust extensions by Croux, Ruiz-Gazen and colleagues | Hubert, Arabie, and Meulman (robust extensions); classical MDS by Torgerson (1952) |
| Tipus≠ | Robust dimension reduction for contingency tables | Dimensionality reduction / proximity scaling |
| Font seminal≠ | 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 ↗ | 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 ↗ |
| Àlies | RCA, outlier-resistant correspondence analysis, robust CA | Robust MDS, outlier-resistant MDS, robust proximity scaling |
| Relacionats≠ | 5 | 4 |
| Resum≠ | 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. | 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. |
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