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Embedding Localmente Linear (LLE)×PCA Kernel×
ÁreaAprendizado de máquinaAprendizado de máquina
FamíliaMachine learningLatent structure
Ano de origem20001998
Autor originalSam Roweis & Lawrence SaulSchölkopf, B.; Smola, A. J.; Müller, K.-R.
TipoNonlinear manifold dimensionality reductionNonlinear dimensionality reduction via kernel trick
Fonte seminalRoweis, S. T., & Saul, L. K. (2000). Nonlinear dimensionality reduction by locally linear embedding. Science, 290(5500), 2323–2326. 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 ↗
Outros nomesLLE, manifold learning, nonlinear dimensionality reduction, yerel doğrusal gömmeKPCA, kernel PCA, nonlinear PCA via kernel trick, kernel eigenvalue decomposition
Relacionados35
ResumoLocally 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.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.
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ScholarGateComparar métodos: Locally Linear Embedding · Kernel PCA. Recuperado em 2026-06-15 de https://scholargate.app/pt/compare