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Kernel PCA×Principal Component Analysis×
FagområdeMaskinlæringMaskinlæring
FamilieLatent structureMachine learning
Oprindelsesår19982002
OphavspersonSchölkopf, B.; Smola, A. J.; Müller, K.-R.Jolliffe, I.T. (textbook); Pearson & Hotelling (origins)
TypeNonlinear dimensionality reduction via kernel trickUnsupervised dimensionality reduction
Oprindelig kildeSchölkopf, 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 ↗
AliasserKPCA, kernel PCA, nonlinear PCA via kernel trick, kernel eigenvalue decompositionTemel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform
Relaterede53
ResuméKernel 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.
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ScholarGateSammenlign metoder: Kernel PCA · Principal Component Analysis. Hentet 2026-06-18 fra https://scholargate.app/da/compare