Optimal approximation of infinite-dimensional holomorphic functions II: recovery from i.i.d. pointwise samples
Fuente:
arXiv
Saved in:
| Main Authors: | Adcock, Ben, Dexter, Nick, Moraga, Sebastian |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Universal, sample-optimal algorithms for recovery of anisotropic functions from i.i.d. samples
by: Adcock, Ben, et al.
Published: (2026)
by: Adcock, Ben, et al.
Published: (2026)
A lattice algorithm with multiple shifts for function approximation in Korobov spaces
by: Cai, Mou, et al.
Published: (2025)
by: Cai, Mou, et al.
Published: (2025)
Weighted approximate sampling recovery and integration based on B-spline interpolation and quasi-interpolation
by: Dũng, Dinh
Published: (2025)
by: Dũng, Dinh
Published: (2025)
Quasi-interpolation for high-dimensional function approximation
by: Gao, Wenwu, et al.
Published: (2024)
by: Gao, Wenwu, et al.
Published: (2024)
Function values are enough for $L_2$-approximation: Part II
by: Krieg, David, et al.
Published: (2020)
by: Krieg, David, et al.
Published: (2020)
Comparative study on higher order compact RBF-FD formulas with Gaussian and Multiquadric radial functions
by: Yadav, Manoj Kumar, et al.
Published: (2024)
by: Yadav, Manoj Kumar, et al.
Published: (2024)
Refinement-based Christoffel sampling for least squares approximation in non-orthogonal bases
by: Herremans, Astrid, et al.
Published: (2025)
by: Herremans, Astrid, et al.
Published: (2025)
Error bounds for numerical differentiation using kernels of finite smoothness
by: Davydov, Oleg
Published: (2025)
by: Davydov, Oleg
Published: (2025)
Algorithms for pointwise and piecewise polynomial approximations to the trigonometric functions
by: Phuong, Quan Le
Published: (2025)
by: Phuong, Quan Le
Published: (2025)
Constructive Approximation of High-Dimensional Functions with Small Efficient Dimension with Applications in Uncertainty Quantification
by: Rieger, Christian, et al.
Published: (2024)
by: Rieger, Christian, et al.
Published: (2024)
Christoffel Adaptive Sampling for Sparse Random Feature Expansions
by: Adcock, Ben, et al.
Published: (2026)
by: Adcock, Ben, et al.
Published: (2026)
A Semi-Lagrangian scheme on embedded manifolds using generalized local polynomial reproductions
by: Hangelbroek, Thomas, et al.
Published: (2025)
by: Hangelbroek, Thomas, et al.
Published: (2025)
Function recovery on manifolds using scattered data
by: Krieg, David, et al.
Published: (2021)
by: Krieg, David, et al.
Published: (2021)
Approximation by quadrilateral finite elements
by: Arnold, Douglas N., et al.
Published: (2000)
by: Arnold, Douglas N., et al.
Published: (2000)
Weighted least $\ell_p$ approximation on compact Riemannian manifolds
by: Li, Jiansong, et al.
Published: (2024)
by: Li, Jiansong, et al.
Published: (2024)
Multivariate Interpolation in Unisolvent Nodes -- Lifting the Curse of Dimensionality
by: Hecht, Michael, et al.
Published: (2020)
by: Hecht, Michael, et al.
Published: (2020)
Multivariate confluent Vandermonde with G-Arnoldi and applications
by: Zhang, Lei-Hong, et al.
Published: (2024)
by: Zhang, Lei-Hong, et al.
Published: (2024)
Convergence analysis of Hermite approximations for analytic functions
by: Wang, Haiyong, et al.
Published: (2023)
by: Wang, Haiyong, et al.
Published: (2023)
Error Guarantees for Least Squares Approximation with Noisy Samples in Domain Adaptation
by: Bartel, Felix
Published: (2022)
by: Bartel, Felix
Published: (2022)
Tractability of non-homogeneous tensor product problems in the worst case setting
by: Guo, Rong, et al.
Published: (2019)
by: Guo, Rong, et al.
Published: (2019)
On the growth of the parameters of approximating ReLU neural networks
by: Morina, Erion, et al.
Published: (2024)
by: Morina, Erion, et al.
Published: (2024)
Entropy-based convergence rates of greedy algorithms
by: Li, Yuwen, et al.
Published: (2023)
by: Li, Yuwen, et al.
Published: (2023)
Random Projection Neural Networks of Best Approximation: Convergence theory and practical applications
by: Fabiani, Gianluca
Published: (2024)
by: Fabiani, Gianluca
Published: (2024)
Average case tractability of multivariate approximation with Gevrey type kernels
by: Lu, Wanting, et al.
Published: (2024)
by: Lu, Wanting, et al.
Published: (2024)
Polynomial approximation on $C^2$-domains
by: Dai, Feng, et al.
Published: (2022)
by: Dai, Feng, et al.
Published: (2022)
On the deterioration of convergence rate of spectral differentiations for functions with singularities
by: Wang, Haiyong
Published: (2025)
by: Wang, Haiyong
Published: (2025)
Optimal quadrature errors and sampling numbers for Sobolev spaces with logarithmic perturbation on spheres
by: Geng, Jiaxin, et al.
Published: (2024)
by: Geng, Jiaxin, et al.
Published: (2024)
An iterative method for the solution of Laplace-like equations in high and very high space dimensions
by: Yserentant, Harry
Published: (2024)
by: Yserentant, Harry
Published: (2024)
Discontinuous piecewise polynomial approximation on non-Lipschitz domains
by: Hewett, D P
Published: (2025)
by: Hewett, D P
Published: (2025)
Simultaneous spatial-parametric collocation approximation for parametric PDEs with log-normal random inputs
by: Dũng, Dinh
Published: (2025)
by: Dũng, Dinh
Published: (2025)
Optimal convergence of local discontinuous Galerkin methods for convection-diffusion equations
by: Liu, Wenjie, et al.
Published: (2026)
by: Liu, Wenjie, et al.
Published: (2026)
Nonlinear stationary subdivision schemes that reproduce trigonometric functions
by: Donat, Rosa, et al.
Published: (2018)
by: Donat, Rosa, et al.
Published: (2018)
Doubling the rate -- improved error bounds for orthogonal projection with application to interpolation
by: Sloan, Ian H., et al.
Published: (2023)
by: Sloan, Ian H., et al.
Published: (2023)
Deep ReLU networks and high-order finite element methods II: Chebyshev emulation
by: Opschoor, Joost A. A., et al.
Published: (2023)
by: Opschoor, Joost A. A., et al.
Published: (2023)
A simple universal algorithm for high-dimensional integration
by: Goda, Takashi, et al.
Published: (2024)
by: Goda, Takashi, et al.
Published: (2024)
Exploiting locality in sparse polynomial approximation of parametric elliptic PDEs and application to parameterized domains
by: van Harten, Wouter, et al.
Published: (2023)
by: van Harten, Wouter, et al.
Published: (2023)
A note about exponential tractability of linear weighted tensor product problems in the worst-case setting
by: Liu, Zirong, et al.
Published: (2025)
by: Liu, Zirong, et al.
Published: (2025)
Learning and Leveraging Anisotropy Parameters in ANOVA Approximation
by: Bartel, Felix, et al.
Published: (2025)
by: Bartel, Felix, et al.
Published: (2025)
High-dimensional sparse trigonometric approximation in the uniform norm and consequences for sampling recovery
by: Moeller, Moritz, et al.
Published: (2024)
by: Moeller, Moritz, et al.
Published: (2024)
Superconvergence points of Hermite spectral interpolation
by: Wang, Haiyong, et al.
Published: (2025)
by: Wang, Haiyong, et al.
Published: (2025)
Similar Items
-
Universal, sample-optimal algorithms for recovery of anisotropic functions from i.i.d. samples
by: Adcock, Ben, et al.
Published: (2026) -
A lattice algorithm with multiple shifts for function approximation in Korobov spaces
by: Cai, Mou, et al.
Published: (2025) -
Weighted approximate sampling recovery and integration based on B-spline interpolation and quasi-interpolation
by: Dũng, Dinh
Published: (2025) -
Quasi-interpolation for high-dimensional function approximation
by: Gao, Wenwu, et al.
Published: (2024) -
Function values are enough for $L_2$-approximation: Part II
by: Krieg, David, et al.
Published: (2020)