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| Μπεϋζιανή Ανάλυση Παραγόντων× | Ανάλυση Κύριων Συνιστωσών× | |
|---|---|---|
| Πεδίο≠ | Μπεϋζιανή Στατιστική | Μηχανική Μάθηση |
| Οικογένεια≠ | Bayesian methods | Machine learning |
| Έτος προέλευσης≠ | 2004 | 2002 |
| Δημιουργός≠ | Lopes & West (2004) for Bayesian model assessment in factor analysis | Jolliffe, I.T. (textbook); Pearson & Hotelling (origins) |
| Τύπος≠ | Bayesian latent variable model | Unsupervised dimensionality reduction |
| Θεμελιώδης πηγή≠ | Lopes, H. F. & West, M. (2004). Bayesian Model Assessment in Factor Analysis. Statistica Sinica, 14(1), 41–67. link ↗ | Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗ |
| Εναλλακτικές ονομασίες | Bayesian EFA, Bayesian CFA, Bayesçi Faktör Analizi, probabilistic factor analysis | Temel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform |
| Συναφείς≠ | 7 | 3 |
| Σύνοψη≠ | 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. |
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