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Isomap×주성분 분석×
분야머신러닝머신러닝
계열Latent structureMachine learning
기원 연도20002002
창시자Tenenbaum, J. B.; de Silva, V.; Langford, J. C.Jolliffe, I.T. (textbook); Pearson & Hotelling (origins)
유형Manifold learning / nonlinear dimensionality reductionUnsupervised dimensionality reduction
원전Tenenbaum, J. B., de Silva, V. & Langford, J. C. (2000). A global geometric framework for nonlinear dimensionality reduction. Science, 290(5500), 2319–2323. DOI ↗Jolliffe, I.T. (2002). Principal Component Analysis (2nd ed.). Springer. DOI ↗
별칭Isomap, isometric feature mapping, geodesic Isomap, nonlinear MDSTemel Bileşenler Analizi (PCA), PCA, principal components analysis, Karhunen-Loève transform
관련33
요약Isomap (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.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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