\(n\)-best kernel approximation in reproducing kernel Hilbert spaces
From MaRDI portal
Publication:6051151
DOI10.1016/j.acha.2023.06.003zbMath1528.41078arXiv2201.07228OpenAlexW4381620533MaRDI QIDQ6051151
Publication date: 19 September 2023
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.07228
Best approximation, Chebyshev systems (41A50) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hardy spaces (30H10) Bergman spaces and Fock spaces (30H20)
Related Items (2)
Matching pursuit with unbounded parameter domains ⋮ Adaptive Fourier decomposition‐type sparse representations versus the Karhunen–Loève expansion for decomposing stochastic processes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Frequency-domain identification: An algorithm based on an adaptive rational orthogonal system
- On backward shift algorithm for estimating poles of systems
- Finding best approximation pairs relative to two closed convex sets in Hilbert spaces
- Optimal rules with polynomial precision for Hilbert spaces possessing reproducing kernel functions
- Identification and rational \(L^ 2\) approximation: A gradient algorithm
- Best approximation in \(L^ p(\mu,X)\). II
- A criterion for uniqueness of a critical point in \(H_ 2\) rational approximation
- On identity reproducing nonparametric regression estimators
- Moving least-square reproducing kernel methods. I: Methodology and convergence
- Generalized multiple scale reproducing kernel particle methods
- Moving least-square reproducing kernel method. II: Fourier analysis
- Penalized likelihood estimation: Convergence under incorrect model
- Multi-scale meshfree parallel computations for viscous, compressible flows
- Adaptative decomposition: the case of the Drury-Arveson space
- Hybrid wavelet-support vector classification of waveforms
- On a new class of realization formulas and their application
- Orthonormal basis functions for modelling continuous-time systems
- An improved reproducing kernel particle method for nearly incompressible finite elasticity
- Implementation of boundary conditions for meshless methods
- A stochastic sparse representation: \(n\)-best approximation to random signals and computation
- MIMO frequency domain system identification using matrix-valued orthonormal functions
- Rational approximation in a class of weighted Hardy spaces
- An enhancement algorithm for cyclic adaptive Fourier decomposition
- Weighted Bergman spaces: shift-invariant subspaces and input/state/output linear systems
- Nonlinear phase unwinding of functions
- Phase unwinding, or invariant subspace decompositions of Hardy spaces
- Adaptive Fourier series---a variation of greedy algorithm
- Greedy approximation with regard to non-greedy bases
- Best approximation of periodic functions by trigonometric polinomials in \(L_ 2\)
- Approximating some Volterra type stochastic integrals with applications to parameter estimation.
- Adaptive orthonormal systems for matrix-valued functions
- Elementary Functional Analysis
- Capacity of reproducing kernel spaces in learning theory
- Matching pursuits with time-frequency dictionaries
- Optimal approximation by Blaschke forms
- Pseudohyperbolic distance and n‐best rational approximation in ℍ2 space
- 2D Partial Unwinding—A Novel Non-Linear Phase Decomposition of Images
- Reproducing kernel approximation in weighted Bergman spaces: Algorithm and applications
- Approximations in $L^p $ and Chebyshev Approximations
- Generalized Rational Approximation
- Optimal Approximation in Hilbert Spaces with Reproducing Kernel Functions
- Two‐dimensional adaptive Fourier decomposition
- Discretization error associated with reproducing kernel methods: One-dimensional domains
- Best approximation in inner product spaces
- Error analysis of the reproducing kernel particle method
This page was built for publication: \(n\)-best kernel approximation in reproducing kernel Hilbert spaces
