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| Kernel PCA× | Autoenkoder× | Isomap× | Lokalno linearno ugrađivanje (LLE)× | Stroj potpornih vektora (klasifikacija)× | |
|---|---|---|---|---|---|
| Područje≠ | Strojno učenje | Duboko učenje | Strojno učenje | Strojno učenje | Strojno učenje |
| Obitelj≠ | Latent structure | Machine learning | Latent structure | Machine learning | Machine learning |
| Godina nastanka≠ | 1998 | 2006 | 2000 | 2000 | 1995 |
| Tvorac≠ | Schölkopf, B.; Smola, A. J.; Müller, K.-R. | Hinton, G.E. & Salakhutdinov, R.R. | Tenenbaum, J. B.; de Silva, V.; Langford, J. C. | Sam Roweis & Lawrence Saul | Cortes, C. & Vapnik, V. |
| Vrsta≠ | Nonlinear dimensionality reduction via kernel trick | Neural network (encoder-decoder) | Manifold learning / nonlinear dimensionality reduction | Nonlinear manifold dimensionality reduction | Maximum-margin classifier (kernel method) |
| Temeljni izvor≠ | Schölkopf, B., Smola, A. J., & Müller, K.-R. (1998). Nonlinear component analysis as a kernel eigenvalue problem. Neural Computation, 10(5), 1299–1319. DOI ↗ | Hinton, G.E. & Salakhutdinov, R.R. (2006). Reducing the Dimensionality of Data with Neural Networks. Science, 313(5786), 504–507. DOI ↗ | Tenenbaum, J. B., de Silva, V. & Langford, J. C. (2000). A global geometric framework for nonlinear dimensionality reduction. Science, 290(5500), 2319–2323. DOI ↗ | Roweis, S. T., & Saul, L. K. (2000). Nonlinear dimensionality reduction by locally linear embedding. Science, 290(5500), 2323–2326. DOI ↗ | Cortes, C. & Vapnik, V. (1995). Support-Vector Networks. Machine Learning, 20, 273–297. DOI ↗ |
| Drugi nazivi | KPCA, kernel PCA, nonlinear PCA via kernel trick, kernel eigenvalue decomposition | Otokodlayıcı (Autoencoder), otokodlayıcı, auto-encoder, encoder-decoder network | Isomap, isometric feature mapping, geodesic Isomap, nonlinear MDS | LLE, manifold learning, nonlinear dimensionality reduction, yerel doğrusal gömme | Destek Vektör Makinesi (SVM — Sınıflandırma), support-vector network, SVM classifier, maximum-margin classifier |
| Srodne≠ | 5 | 4 | 3 | 3 | 5 |
| Sažetak≠ | 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. | An autoencoder is an encoder-decoder neural network, popularised by Hinton and Salakhutdinov in 2006, that compresses data into a low-dimensional latent code and then reconstructs it, enabling dimensionality reduction and anomaly detection. By learning to rebuild its own input through a narrow bottleneck, it discovers a compact representation of the data. | Isomap (Isometric Feature Mapping) is a manifold learning algorithm introduced by Tenenbaum, de Silva, and Langford in 2000 that discovers the intrinsic low-dimensional geometry of high-dimensional data by preserving geodesic — rather than straight-line Euclidean — distances between all pairs of points. It was one of the earliest, and most influential, nonlinear dimensionality reduction methods to demonstrate that genuinely curved data manifolds could be unfolded into a faithful low-dimensional coordinate system. | Locally linear embedding, introduced by Sam Roweis and Lawrence Saul in 2000, is a manifold-learning method for nonlinear dimensionality reduction. It assumes that although data may curve through a high-dimensional space, each point and its neighbours lie approximately on a flat patch. LLE captures each point as a weighted combination of its neighbours and then finds a low-dimensional layout that preserves those same local relationships, unrolling curved structure into a faithful low-dimensional map. | The Support Vector Machine, introduced by Corinna Cortes and Vladimir Vapnik in 1995, is a classifier that finds the optimal separating hyperplane between classes in a high-dimensional space. It chooses the boundary that leaves the widest possible margin to the nearest training points, which makes its decisions robust on new data. |
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