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	ベイズ因子分析	主成分分析
分野	ベイズ	機械学習
系統	Bayesian methods	Machine learning
提唱年	2004	2002
提唱者	Lopes & West (2004) for Bayesian model assessment in factor analysis	Jolliffe, I.T. (textbook); Pearson & Hotelling (origins)
種類	Bayesian latent variable model	Unsupervised dimensionality reduction
原典	Lopes, H. F. & West, M. (2004). Bayesian Model Assessment in Factor Analysis. Statistica Sinica, 14(1), 41–67.	Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer.
別名	Bayesian EFA, Bayesian CFA, Bayesçi Faktör Analizi, probabilistic factor analysis	Temel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform
関連	7	3
概要	Bayesian Factor Analysis is a probabilistic latent-variable method that places prior distributions on the factor loading matrix and the residual variances, then infers a full posterior over these parameters from the observed data. Developed prominently in the Bayesian framework by Lopes and West (2004), it extends classical exploratory and confirmatory factor analysis by quantifying uncertainty in every estimated loading rather than reporting single point estimates.	Principal Component Analysis (PCA) is an unsupervised dimensionality-reduction method — given its modern textbook treatment by Ian Jolliffe (2002) — that compresses high-dimensional data into fewer dimensions while preserving the maximum possible variance. It re-expresses correlated variables as a small set of uncorrelated principal components ordered by how much of the data's variation each one captures.