Analysis of target data-dependent greedy kernel algorithms: convergence rates for \(f\)-, \(f \cdot P\)- and \(f/P\)-greedy
DOI10.1007/s00365-022-09592-3OpenAlexW3162728429MaRDI QIDQ2699021
Tizian Wenzel, Bernard Haasdonk, Gabriele Santin
Publication date: 26 April 2023
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.07411
Numerical interpolation (65D05) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Algorithms for approximation of functions (65D15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)
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- Orthogonal matching pursuit under the restricted isometry property
- Bases for kernel-based spaces
- Sobolev error estimates and a Bernstein inequality for scattered data interpolation via radial basis functions
- A Newton basis for kernel spaces
- Adaptive greedy techniques for approximate solution of large RBF systems
- Superconvergence of kernel-based interpolation
- Near-optimal data-independent point locations for radial basis function interpolation
- Error estimates and condition numbers for radial basis function interpolation
- Some remarks on greedy algorithms
- Sampling based approximation of linear functionals in reproducing kernel Hilbert spaces
- A greedy non-intrusive reduced order model for shallow water equations
- A novel class of stabilized greedy kernel approximation algorithms: convergence, stability and uniform point distribution
- Greedy algorithms for reduced bases in Banach spaces
- Comparison of data-driven uncertainty quantification methods for a carbon dioxide storage benchmark scenario
- A general multipurpose interpolation procedure: The magic points
- Approximate interpolation with applications to selecting smoothing parameters
- Greedy approximation
- Improved error bounds for scattered data interpolation by radial basis functions
- Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting
- Matching pursuits with time-frequency dictionaries
- Greedy Kernel Approximation for Sparse Surrogate Modeling
- Convergence rate of the data-independent $P$-greedy algorithm in kernel-based approximation
- Scattered Data Approximation
- Adaptive greedy approximations
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