Spectral Properties of the Alignment Matrices in Manifold Learning

DOI10.1137/060676829zbMath1180.15012OpenAlexW1991034425MaRDI QIDQ3398287

Hongyuan Zha, Zhenyue Zhang

Publication date: 28 September 2009

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2ec3a26838d83fb9f4c96b61d578c48e03ea4dd9

zbMATH Keywords

algorithmseigenvalue problemperturbation analysisnull spacemanifold learningnonlinear dimension reductionalignment matrixlocal parameterizationsnull space stability

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Sensitivity, stability, parametric optimization (90C31) Eigenvalue problems (93B60) Eigenvalues, singular values, and eigenvectors (15A18) Statistical aspects of information-theoretic topics (62B10)

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