Sparse representation of approximation to identity

DOI10.1142/S0219530521500251OpenAlexW3202504175MaRDI QIDQ5083443

Wei Qu, Tao Qian, Charles K. Chui, Guan Tie Deng

Publication date: 20 June 2022

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530521500251

zbMATH Keywords

reproducing kernel Hilbert spacesparse representationdictionaryapproximation to the identitysparse heat kernel approximationsparse Poisson kernel approximation

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Bergman spaces and Fock spaces (30H20)

Related Items (4)

The adaptive Fourier decomposition for financial time series ⋮ Matching pursuit with unbounded parameter domains ⋮ Adaptive Fourier decomposition‐type sparse representations versus the Karhunen–Loève expansion for decomposing stochastic processes ⋮ The sparse representation related with fractional heat equations

Cites Work

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• Frequency-domain identification: An algorithm based on an adaptive rational orthogonal system
• Theory of reproducing kernels and applications
• When is the Wigner quasi-probability density non-negative?
• Adaptative decomposition: the case of the Drury-Arveson space
• Reproducing kernel sparse representations in relation to operator equations
• Rational approximation in a class of weighted Hardy spaces
• An enhancement algorithm for cyclic adaptive Fourier decomposition
• Adaptive orthonormal systems for matrix-valued functions
• Greedy Approximation
• A Theory on Non-Constant Frequency Decompositions and Applications
• A Novel Fourier Theory on Non-linear Phases and Applications
• Two-Dimensional Frequency-Domain System Identification
• Reproducing kernel approximation in weighted Bergman spaces: Algorithm and applications
• Two‐dimensional adaptive Fourier decomposition

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