Analysis of an alignment algorithm for nonlinear dimensionality reduction

DOI10.1007/s10543-007-0144-xzbMath1129.62062OpenAlexW2078512044MaRDI QIDQ2465661

Qiang Ye, Hongyuan Zha, Ren-Cang Li

Publication date: 7 January 2008

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-007-0144-x

Mathematics Subject Classification ID

Multivariate analysis (62H99) Classification and discrimination; cluster analysis (statistical aspects) (62H30) Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Basic linear algebra (15A99)

Related Items (4)

Matrix subspaces and determinantal hypersurfaces ⋮ Eigenvalue bounds for an alignment matrix in manifold learning ⋮ Discrete Hessian eigenmaps method for dimensionality reduction ⋮ Analysis of alignment algorithms with mixed dimensions for dimensionality reduction

Uses Software

• EIGIFP
• JDQR
• ARPACK
• JDQZ

Cites Work

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• ARPACK Users' Guide
• Templates for the Solution of Algebraic Eigenvalue Problems
• Principal Manifolds and Nonlinear Dimensionality Reduction via Tangent Space Alignment
• Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data
• Algorithm 845
• The elements of statistical learning. Data mining, inference, and prediction

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