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	बेयसियन प्रिंसिपल कंपोनेंट एनालिसिस (BPCA)	बेयसियन एक्सप्लोरेटरी फैक्टर एनालिसिस (BEFA)
क्षेत्र	सांख्यिकी	मनोमिति
परिवार	Latent structure	Latent structure
उद्भव वर्ष	1999	2004 (Bayesian formulation); factor analysis roots: 1904
प्रवर्तक	Christopher M. Bishop	Lopes & West (seminal Bayesian treatment); roots in classical factor analysis (Spearman, 1904)
प्रकार	Bayesian latent variable / dimension reduction	Probabilistic latent variable model
मौलिक स्रोत	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.	Lopes, H. F. & West, M. (2004). Bayesian model assessment in factor analysis. Statistica Sinica, 14(1), 41–67.
उपनाम	BPCA, Bayesian PCA, probabilistic PCA with Bayesian inference, variational Bayesian PCA	Bayesian factor analysis, BEFA, Bayesian common factor model, probabilistic factor analysis
संबंधित	2	4
सारांश	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.	Bayesian exploratory factor analysis applies a full probabilistic framework to the common factor model. By placing prior distributions over factor loadings and unique variances, it yields posterior distributions rather than point estimates, quantifies uncertainty around every loading, and can treat the number of factors as an unknown to be inferred from data.