Analysis of alignment algorithms with mixed dimensions for dimensionality reduction

DOI10.1002/NLA.1834zbMath1289.65115OpenAlexW1797029464MaRDI QIDQ5397328

Qiang Ye, Weifeng Zhi

Publication date: 19 February 2014

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.1834

zbMATH Keywords

null spacedimensionality reductionalignment matrix

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Canonical forms, reductions, classification (15A21)

Cites Work

• Eigenvalue bounds for an alignment matrix in manifold learning
• Matrix perturbation analysis of local tangent space alignment
• Analysis of an alignment algorithm for nonlinear dimensionality reduction
• Eigenvalues of an alignment matrix in nonlinear manifold learning
• 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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