手法を比較

	ベイズ的多次元尺度構成法 (BMDS)	ベイズ主成分分析 (BPCA)
分野	統計学	統計学
系統	Latent structure	Latent structure
提唱年	2001	1999
提唱者	Oh & Raftery	Christopher M. Bishop
種類	Bayesian latent-space dimensionality reduction	Bayesian latent variable / dimension reduction
原典	Oh, M.-S. & Raftery, A. E. (2001). Bayesian multidimensional scaling and choice of dimension. Journal of the American Statistical Association, 96(455), 1031–1044.	Bishop, C. M. (1999). Bayesian PCA. In M. S. Kearns, S. A. Solla & D. A. Cohn (Eds.), Advances in Neural Information Processing Systems 11 (pp. 382–388). MIT Press.
別名	Bayesian MDS, BMDS, probabilistic MDS, Bayesian proximity scaling	BPCA, Bayesian PCA, probabilistic PCA with Bayesian inference, variational Bayesian PCA
関連	6	2
概要	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.	Bayesian principal component analysis embeds probabilistic PCA within a Bayesian framework, placing priors over the loading matrix so that irrelevant components are automatically pruned. It handles missing data naturally and provides principled uncertainty estimates for both the latent scores and the dimensionality of the representation.