Sample-based almost-sure quasi-optimal approximation in reproducing kernel Hilbert spaces
Fuente:
arXiv
Saved in:
| Main Authors: | Hegemann, Nando, Nouy, Anthony, Trunschke, Philipp |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Optimal sampling for least squares approximation with general dictionaries
by: Trunschke, Philipp, et al.
Published: (2024)
by: Trunschke, Philipp, et al.
Published: (2024)
Spherical quasi-interpolation using scaled zonal kernels
by: Sun, Zhengjie, et al.
Published: (2024)
by: Sun, Zhengjie, et al.
Published: (2024)
Vector field multiplier operators and matrix-valued kernel quasi-interpolation
by: Sun, Zhengjie, et al.
Published: (2026)
by: Sun, Zhengjie, et al.
Published: (2026)
On Convergence of the Secant Method
by: Tan, Yan, et al.
Published: (2025)
by: Tan, Yan, et al.
Published: (2025)
Random Projection Neural Networks of Best Approximation: Convergence theory and practical applications
by: Fabiani, Gianluca
Published: (2024)
by: Fabiani, Gianluca
Published: (2024)
Explicit Construction of Approximate Kolmogorov Superpositions with C2 Smoothness
by: Song, Lunji, et al.
Published: (2025)
by: Song, Lunji, et al.
Published: (2025)
Monte Carlo quasi-interpolation of spherical data
by: Sun, Zhengjie, et al.
Published: (2025)
by: Sun, Zhengjie, 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)
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)
On the deterioration of convergence rate of spectral differentiations for functions with singularities
by: Wang, Haiyong
Published: (2025)
by: Wang, Haiyong
Published: (2025)
Nonlinear stationary subdivision schemes that reproduce trigonometric functions
by: Donat, Rosa, et al.
Published: (2018)
by: Donat, Rosa, et al.
Published: (2018)
Convergence analysis of Hermite approximations for analytic functions
by: Wang, Haiyong, et al.
Published: (2023)
by: Wang, Haiyong, et al.
Published: (2023)
Error bounds for numerical differentiation using kernels of finite smoothness
by: Davydov, Oleg
Published: (2025)
by: Davydov, Oleg
Published: (2025)
Structure-Preserving Reconstruction of Convex Lipschitz Functionals on Hilbert Spaces from Finite Samples
by: Kratsios, Anastasis
Published: (2026)
by: Kratsios, Anastasis
Published: (2026)
Adaptive finite element methods with optimally preconditioned GMRES guarantee optimal complexity
by: Führer, Thomas, et al.
Published: (2026)
by: Führer, Thomas, et al.
Published: (2026)
Optimal Transport-inspired Deep Learning Framework for Slow-Decaying Kolmogorov n-width Problems: Exploiting Sinkhorn Loss and Wasserstein Kernel
by: Khamlich, Moaad, et al.
Published: (2023)
by: Khamlich, Moaad, et al.
Published: (2023)
Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems
by: Imbert-Gérard, Lise-Marie, et al.
Published: (2024)
by: Imbert-Gérard, Lise-Marie, et al.
Published: (2024)
Optimal approximation of infinite-dimensional holomorphic functions II: recovery from i.i.d. pointwise samples
by: Adcock, Ben, et al.
Published: (2023)
by: Adcock, Ben, et al.
Published: (2023)
Function values are enough for $L_2$-approximation: Part II
by: Krieg, David, et al.
Published: (2020)
by: Krieg, David, et al.
Published: (2020)
Approximation bounds for norm constrained deep neural networks
by: Maiale, Francesco Paolo, et al.
Published: (2025)
by: Maiale, Francesco Paolo, et al.
Published: (2025)
Discontinuous piecewise polynomial approximation on non-Lipschitz domains
by: Hewett, D P
Published: (2025)
by: Hewett, D P
Published: (2025)
Adaptive Randomized Neural Networks with Locally Activation Function: Theory and Algorithm for Solving PDEs
by: Bi, Ran, et al.
Published: (2026)
by: Bi, Ran, 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)
Entropy-based convergence rates of greedy algorithms
by: Li, Yuwen, et al.
Published: (2023)
by: Li, Yuwen, et al.
Published: (2023)
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)
An optimal lower bound for smooth convex functions
by: Florea, Mihai I., et al.
Published: (2024)
by: Florea, Mihai I., et al.
Published: (2024)
Quasi-interpolation using generalized Gaussian kernels
by: Gao, Wenwu, et al.
Published: (2024)
by: Gao, Wenwu, et al.
Published: (2024)
Time-Frequency Analysis for Neural Networks
by: Abdeljawad, Ahmed, et al.
Published: (2025)
by: Abdeljawad, Ahmed, et al.
Published: (2025)
Error estimate of the u-series method for molecular dynamics simulations
by: Liang, Jiuyang, et al.
Published: (2023)
by: Liang, Jiuyang, et al.
Published: (2023)
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)
Quasi-interpolation for high-dimensional function approximation
by: Gao, Wenwu, et al.
Published: (2024)
by: Gao, Wenwu, et al.
Published: (2024)
A Low Rank Neural Representation of Entropy Solutions
by: Rim, Donsub, et al.
Published: (2024)
by: Rim, Donsub, et al.
Published: (2024)
Approximation Theory of Tree Tensor Networks: Tensorized Multivariate Functions
by: Ali, Mazen, et al.
Published: (2021)
by: Ali, Mazen, et al.
Published: (2021)
Approximation Theory of Tree Tensor Networks: Tensorized Univariate Functions -- Part I
by: Ali, Mazen, et al.
Published: (2020)
by: Ali, Mazen, et al.
Published: (2020)
Approximation Theory of Tree Tensor Networks: Tensorized Univariate Functions -- Part II
by: Ali, Mazen, et al.
Published: (2020)
by: Ali, Mazen, et al.
Published: (2020)
Simultaneous spatial-parametric collocation approximation for parametric PDEs with log-normal random inputs
by: Dũng, Dinh
Published: (2025)
by: Dũng, Dinh
Published: (2025)
Optimal asymptotic analyses on Laguerre and Hermite orthogonal approximation for functions of algebraic and logarithmic regularitiesYali
by: Zhang, Yali, et al.
Published: (2026)
by: Zhang, Yali, et al.
Published: (2026)
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)
ReLU neural network approximation to piecewise constant functions
by: Cai, Zhiqiang, et al.
Published: (2024)
by: Cai, Zhiqiang, et al.
Published: (2024)
Simultaneous CNN Approximation on Manifolds with Applications to Boundary Value Problems
by: Zhou, Hanfei, et al.
Published: (2026)
by: Zhou, Hanfei, et al.
Published: (2026)
Similar Items
-
Optimal sampling for least squares approximation with general dictionaries
by: Trunschke, Philipp, et al.
Published: (2024) -
Spherical quasi-interpolation using scaled zonal kernels
by: Sun, Zhengjie, et al.
Published: (2024) -
Vector field multiplier operators and matrix-valued kernel quasi-interpolation
by: Sun, Zhengjie, et al.
Published: (2026) -
On Convergence of the Secant Method
by: Tan, Yan, et al.
Published: (2025) -
Random Projection Neural Networks of Best Approximation: Convergence theory and practical applications
by: Fabiani, Gianluca
Published: (2024)