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국소 선형 임베딩 (LLE)×Isomap×
분야머신러닝머신러닝
계열Machine learningLatent structure
기원 연도20002000
창시자Sam Roweis & Lawrence SaulTenenbaum, J. B.; de Silva, V.; Langford, J. C.
유형Nonlinear manifold dimensionality reductionManifold learning / nonlinear dimensionality reduction
원전Roweis, S. T., & Saul, L. K. (2000). Nonlinear dimensionality reduction by locally linear embedding. Science, 290(5500), 2323–2326. 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 ↗
별칭LLE, manifold learning, nonlinear dimensionality reduction, yerel doğrusal gömmeIsomap, isometric feature mapping, geodesic Isomap, nonlinear MDS
관련33
요약Locally 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.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.
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