Continuum isomap for manifold learnings

DOI10.1016/j.csda.2006.11.027zbMath1452.62144OpenAlexW2015837697MaRDI QIDQ1020800

Hongyuan Zha, Zhenyue Zhang

Publication date: 2 June 2009

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2006.11.027

zbMATH Keywords

isometric embeddingperturbation analysismanifold learningnonlinear dimension reductioncontinuum isomap

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Statistics on manifolds (62R30)

Related Items (6)

A robust algorithm for template curve estimation based on manifold embedding ⋮ Reconstruction of a Riemannian Manifold from Noisy Intrinsic Distances ⋮ Perturbation Bounds for Procrustes, Classical Scaling, and Trilateration, with Applications to Manifold Learning ⋮ Curvature analysis of frequency modulated manifolds in dimensionality reduction ⋮ Editorial: Machine learning and robust data mining ⋮ A fast algorithm for manifold learning by posing it as a symmetric diagonally dominant linear system

Cites Work

• Remarks to Maurice Frechet's article ``Sur la definition axiomatique d'une classe d'espaces vectoriels distancies applicables vectoriellement sur l'espace de Hilbert
• Multidimensional scaling. I: Theory and method
• Principal Manifolds and Nonlinear Dimensionality Reduction via Tangent Space Alignment
• Unsupervised Learning of Curved Manifolds
• Some distance properties of latent root and vector methods used in multivariate analysis
• The elements of statistical learning. Data mining, inference, and prediction
• On a connection between kernel PCA and metric multidimensional scaling
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