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| Ανάλυση Κύριων Συνιστωσών με Πυρήνα (Kernel PCA)× | Ανάλυση Κύριων Συνιστωσών× | |
|---|---|---|
| Πεδίο | Μηχανική Μάθηση | Μηχανική Μάθηση |
| Οικογένεια≠ | Latent structure | Machine learning |
| Έτος προέλευσης≠ | 1998 | 2002 |
| Δημιουργός≠ | Schölkopf, B.; Smola, A. J.; Müller, K.-R. | Jolliffe, I.T. (textbook); Pearson & Hotelling (origins) |
| Τύπος≠ | Nonlinear dimensionality reduction via kernel trick | Unsupervised dimensionality reduction |
| Θεμελιώδης πηγή≠ | Schölkopf, B., Smola, A. J., & Müller, K.-R. (1998). Nonlinear component analysis as a kernel eigenvalue problem. Neural Computation, 10(5), 1299–1319. DOI ↗ | Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗ |
| Εναλλακτικές ονομασίες | KPCA, kernel PCA, nonlinear PCA via kernel trick, kernel eigenvalue decomposition | Temel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform |
| Συναφείς≠ | 5 | 3 |
| Σύνοψη≠ | Kernel Principal Component Analysis (Kernel PCA) is a nonlinear dimensionality-reduction method introduced by Bernhard Schölkopf, Alexander Smola, and Klaus-Robert Müller in 1997–1998. It extends classical linear PCA to curved, non-linear data manifolds by implicitly mapping input data into a high-dimensional feature space via a kernel function, then performing standard PCA in that space — all without ever computing the mapping explicitly. | 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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