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| 베이즈 정준 상관 분석 (Bayesian CCA)× | 베이지안 탐색적 요인 분석 (Bayesian Exploratory Factor Analysis, BEFA)× | |
|---|---|---|
| 분야≠ | 통계학 | 심리측정학 |
| 계열 | Latent structure | Latent structure |
| 기원 연도≠ | 2005-2013 | 2004 (Bayesian formulation); factor analysis roots: 1904 |
| 창시자≠ | Francis Bach & Michael Jordan (probabilistic formulation, 2005); Klami, Virtanen & Kaski (fully Bayesian treatment, 2013) | Lopes & West (seminal Bayesian treatment); roots in classical factor analysis (Spearman, 1904) |
| 유형≠ | Latent variable model / dimensionality reduction | Probabilistic latent variable model |
| 원전≠ | Bach, F. R. & Jordan, M. I. (2005). A probabilistic interpretation of canonical correlation analysis. Technical Report 688, Department of Statistics, University of California, Berkeley. link ↗ | Lopes, H. F. & West, M. (2004). Bayesian model assessment in factor analysis. Statistica Sinica, 14(1), 41–67. link ↗ |
| 별칭≠ | Bayesian CCA, probabilistic CCA, BCCA | Bayesian factor analysis, BEFA, Bayesian common factor model, probabilistic factor analysis |
| 관련≠ | 5 | 4 |
| 요약≠ | Bayesian canonical correlation analysis is a probabilistic generative model that identifies shared latent structure between two or more sets of observed variables. It extends classical CCA by placing priors on model parameters, enabling principled uncertainty quantification, automatic determination of the number of shared dimensions, and robustness when sample sizes are small relative to dimensionality. | 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. |
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