Matrix perturbation analysis of local tangent space alignment

DOI10.1016/J.LAA.2008.09.014zbMath1157.15321OpenAlexW1987122229MaRDI QIDQ959878

Andrew K. Smith, Xiaoming Huo

Publication date: 12 December 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.09.014

zbMATH Keywords

dimension reductionperturbation analysismanifold learningmatrix perturbationlocal tangent space alignment (LTSA)

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical linear algebra (65F99)

Related Items (2)

Discrete Hessian eigenmaps method for dimensionality reduction ⋮ Analysis of alignment algorithms with mixed dimensions for dimensionality reduction

Cites Work

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• Principal Manifolds and Nonlinear Dimensionality Reduction via Tangent Space Alignment
• Laplacian Eigenmaps for Dimensionality Reduction and Data Representation
• Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data

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