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稳健对应分析×稳健多维尺度分析 (Robust MDS)×
领域统计学统计学
方法族Latent structureLatent structure
起源年份2000s (robust extensions of CA developed since the early 2000s)2002 (robust extension); 1952 (classical MDS)
提出者Greenacre (CA); robust extensions by Croux, Ruiz-Gazen and colleaguesHubert, Arabie, and Meulman (robust extensions); classical MDS by Torgerson (1952)
类型Robust dimension reduction for contingency tablesDimensionality reduction / proximity scaling
开创性文献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 ↗
别名RCA, outlier-resistant correspondence analysis, robust CARobust MDS, outlier-resistant MDS, robust proximity scaling
相关54
摘要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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  1. v1
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  3. PUBLISHED

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ScholarGate方法对比: Robust Correspondence Analysis · Robust Multidimensional Scaling. 于 2026-06-17 检索自 https://scholargate.app/zh/compare