Comparer des méthodes
Examinez les méthodes sélectionnées côte à côte ; les lignes qui diffèrent sont mises en évidence.
| Plongement Linéaire Local (LLE)× | Isomap× | ACP à noyau× | t-SNE× | |
|---|---|---|---|---|
| Domaine | Apprentissage automatique | Apprentissage automatique | Apprentissage automatique | Apprentissage automatique |
| Famille≠ | Machine learning | Latent structure | Latent structure | Machine learning |
| Année d'origine≠ | 2000 | 2000 | 1998 | 2008 |
| Auteur d'origine≠ | Sam Roweis & Lawrence Saul | Tenenbaum, J. B.; de Silva, V.; Langford, J. C. | Schölkopf, B.; Smola, A. J.; Müller, K.-R. | van der Maaten, L. & Hinton, G. |
| Type≠ | Nonlinear manifold dimensionality reduction | Manifold learning / nonlinear dimensionality reduction | Nonlinear dimensionality reduction via kernel trick | Nonlinear dimensionality reduction (manifold visualization) |
| Source fondatrice≠ | Roweis, S. T., & Saul, L. K. (2000). Nonlinear dimensionality reduction by locally linear embedding. Science, 290(5500), 2323–2326. 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 ↗ | Schölkopf, B., Smola, A. J., & Müller, K.-R. (1998). Nonlinear component analysis as a kernel eigenvalue problem. Neural Computation, 10(5), 1299–1319. DOI ↗ | van der Maaten, L. & Hinton, G. (2008). Visualizing Data using t-SNE. Journal of Machine Learning Research, 9(86), 2579–2605. link ↗ |
| Alias≠ | LLE, manifold learning, nonlinear dimensionality reduction, yerel doğrusal gömme | Isomap, isometric feature mapping, geodesic Isomap, nonlinear MDS | KPCA, kernel PCA, nonlinear PCA via kernel trick, kernel eigenvalue decomposition | t-SNE (Boyut İndirgeme / Görselleştirme), t-distributed stochastic neighbor embedding, tsne |
| Apparentées≠ | 3 | 3 | 5 | 3 |
| Résumé≠ | 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. | 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. | 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. | t-SNE (t-Distributed Stochastic Neighbor Embedding) is a nonlinear dimensionality-reduction method introduced by Laurens van der Maaten and Geoffrey Hinton in 2008 that maps high-dimensional data into a 2D or 3D space for visualization. It preserves probabilistic local similarities, so points that are neighbours in the original space stay close together, revealing cluster structure and local neighbourhoods. |
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