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Isomap×Kernel PCA×Analiza Głównych Składowych×t-SNE×
DziedzinaUczenie maszynoweUczenie maszynoweUczenie maszynoweUczenie maszynowe
RodzinaLatent structureLatent structureMachine learningMachine learning
Rok powstania2000199820022008
TwórcaTenenbaum, J. B.; de Silva, V.; Langford, J. C.Schölkopf, B.; Smola, A. J.; Müller, K.-R.Jolliffe, I.T. (textbook); Pearson & Hotelling (origins)van der Maaten, L. & Hinton, G.
TypManifold learning / nonlinear dimensionality reductionNonlinear dimensionality reduction via kernel trickUnsupervised dimensionality reductionNonlinear dimensionality reduction (manifold visualization)
Źródło pierwotneTenenbaum, 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 ↗Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗van der Maaten, L. & Hinton, G. (2008). Visualizing Data using t-SNE. Journal of Machine Learning Research, 9(86), 2579–2605. link ↗
Inne nazwyIsomap, isometric feature mapping, geodesic Isomap, nonlinear MDSKPCA, kernel PCA, nonlinear PCA via kernel trick, kernel eigenvalue decompositionTemel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transformt-SNE (Boyut İndirgeme / Görselleştirme), t-distributed stochastic neighbor embedding, tsne
Pokrewne3533
PodsumowanieIsomap (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.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.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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ScholarGatePorównaj metody: Isomap · Kernel PCA · Principal Component Analysis · t-SNE. Pobrano 2026-06-18 z https://scholargate.app/pl/compare