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Jádrová PCA×Lokálně lineární vnoření (LLE)×Stroj s podpůrnými vektory (klasifikace)×
OborStrojové učeníStrojové učeníStrojové učení
RodinaLatent structureMachine learningMachine learning
Rok vzniku199820001995
TvůrceSchölkopf, B.; Smola, A. J.; Müller, K.-R.Sam Roweis & Lawrence SaulCortes, C. & Vapnik, V.
TypNonlinear dimensionality reduction via kernel trickNonlinear manifold dimensionality reductionMaximum-margin classifier (kernel method)
Původní zdrojSchölkopf, B., Smola, A. J., & Müller, K.-R. (1998). Nonlinear component analysis as a kernel eigenvalue problem. Neural Computation, 10(5), 1299–1319. 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 ↗
Další názvyKPCA, kernel PCA, nonlinear PCA via kernel trick, kernel eigenvalue decompositionLLE, manifold learning, nonlinear dimensionality reduction, yerel doğrusal gömmeDestek Vektör Makinesi (SVM — Sınıflandırma), support-vector network, SVM classifier, maximum-margin classifier
Příbuzné535
ShrnutíKernel 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.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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ScholarGatePorovnat metody: Kernel PCA · Locally Linear Embedding · Support Vector Machine. Získáno 2026-06-15 z https://scholargate.app/cs/compare