So sánh phương pháp
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| Phân tích phân biệt Bayes× | Phân tích cụm Bayes× | |
|---|---|---|
| Lĩnh vực | Thống kê | Thống kê |
| Họ | Latent structure | Latent structure |
| Năm ra đời≠ | 1964 | 1998–2002 |
| Người khởi xướng≠ | Seymour Geisser | Fraley & Raftery (model-based); Dirichlet process formulations by Ferguson (1973) and Antoniak (1974) |
| Loại≠ | Supervised classification / Bayesian inference | Probabilistic / model-based clustering |
| Công trình gốc≠ | Geisser, S. (1964). Posterior odds for multivariate normal classifications. Journal of the Royal Statistical Society, Series B, 26(1), 69–76. link ↗ | Fraley, C. & Raftery, A. E. (2002). Model-based clustering, discriminant analysis, and density estimation. Journal of the American Statistical Association, 97(458), 611–631. DOI ↗ |
| Tên gọi khác | BDA, Bayesian linear discriminant analysis, Bayesian quadratic discriminant analysis, Bayesian classification | BCA, Bayesian clustering, probabilistic cluster analysis, Bayesian model-based clustering |
| Liên quan≠ | 4 | 6 |
| Tóm tắt≠ | Bayesian discriminant analysis assigns observations to predefined groups by combining a multivariate Gaussian likelihood for each class with prior distributions over the class means and covariance matrices. Posterior predictive probabilities replace point-estimate decision boundaries, providing principled uncertainty quantification for classification in small or high-dimensional samples. | Bayesian cluster analysis assigns observations to latent groups by combining a probabilistic model of within-cluster data with prior beliefs about cluster parameters and the number of clusters. It yields posterior probabilities of cluster membership and principled uncertainty estimates, making it more transparent than classical distance-based clustering algorithms. |
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