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PCA ya Kerneli×Isomap×Ufumbuzi wa Kina wa Kienyeji (LLE)×Support Vector Machine (Uainishaji)×
NyanjaUjifunzaji wa MashineUjifunzaji wa MashineUjifunzaji wa MashineUjifunzaji wa Mashine
FamiliaLatent structureLatent structureMachine learningMachine learning
Mwaka wa asili1998200020001995
MwanzilishiSchölkopf, B.; Smola, A. J.; Müller, K.-R.Tenenbaum, J. B.; de Silva, V.; Langford, J. C.Sam Roweis & Lawrence SaulCortes, C. & Vapnik, V.
AinaNonlinear dimensionality reduction via kernel trickManifold learning / nonlinear dimensionality reductionNonlinear manifold dimensionality reductionMaximum-margin classifier (kernel method)
Chanzo asiliaSchölkopf, B., Smola, A. J., & Müller, K.-R. (1998). Nonlinear component analysis as a kernel eigenvalue problem. Neural Computation, 10(5), 1299–1319. 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 ↗
Majina mbadalaKPCA, kernel PCA, nonlinear PCA via kernel trick, kernel eigenvalue decompositionIsomap, isometric feature mapping, geodesic Isomap, nonlinear MDSLLE, manifold learning, nonlinear dimensionality reduction, yerel doğrusal gömmeDestek Vektör Makinesi (SVM — Sınıflandırma), support-vector network, SVM classifier, maximum-margin classifier
Zinazohusiana5335
MuhtasariKernel 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.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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ScholarGateLinganisha mbinu: Kernel PCA · Isomap · Locally Linear Embedding · Support Vector Machine. Imepatikana 2026-06-17 kutoka https://scholargate.app/sw/compare