Inverting nonlinear dimensionality reduction with scale-free radial basis function interpolation

DOI10.1016/j.acha.2013.10.004zbMath1297.65015arXiv1305.0258OpenAlexW2964040595WikidataQ60150360 ScholiaQ60150360MaRDI QIDQ2252510

François G. Meyer, Bengt Fornberg, Nathan D. Monnig

Publication date: 18 July 2014

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.0258

zbMATH Keywords

interpolationradial basis functioninverse mapnonlinear dimensionality reductionNyström extension

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Approximation by other special function classes (41A30)

Related Items (1)

The pre-image problem for Laplacian Eigenmaps utilizing L ₁ regularization with applications to data fusion

Uses Software

• Matlab

Cites Work

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• Multiscale data sampling and function extension
• The Runge phenomenon and spatially variable shape parameters in RBF interpolation
• Diffusion maps
• Geometric harmonics: a novel tool for multiscale out-of-sample extension of empirical functions
• Interpolation of spatial data – A stochastic or a deterministic problem?
• Global Convergence of Radial Basis Function Trust Region Derivative-Free Algorithms
• Diffusion Maps, Reduction Coordinates, and Low Dimensional Representation of Stochastic Systems
• Laplacian Eigenmaps for Dimensionality Reduction and Data Representation

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