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贝叶斯多维尺度分析 (BMDS)×多维尺度分析 (MDS)×
领域统计学统计学
方法族Latent structureLatent structure
起源年份20011952–1964
提出者Oh & RafteryWarren S. Torgerson (metric MDS, 1952); Joseph B. Kruskal (non-metric MDS, 1964)
类型Bayesian latent-space dimensionality reductionDimensionality reduction / visualization
开创性文献Oh, M.-S. & Raftery, A. E. (2001). Bayesian multidimensional scaling and choice of dimension. Journal of the American Statistical Association, 96(455), 1031–1044. DOI ↗Kruskal, J. B. (1964). Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis. Psychometrika, 29(1), 1–27. DOI ↗
别名Bayesian MDS, BMDS, probabilistic MDS, Bayesian proximity scalingMDS, metric MDS, non-metric MDS, proximity scaling
相关65
摘要Bayesian Multidimensional Scaling places objects in a low-dimensional latent space so that inter-object distances reproduce observed dissimilarities, while a full Bayesian treatment quantifies uncertainty in the coordinates, handles missing proximities naturally, and selects the number of dimensions via model comparison rather than heuristic inspection.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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ScholarGate方法对比: Bayesian Multidimensional Scaling · Multidimensional Scaling. 于 2026-06-17 检索自 https://scholargate.app/zh/compare