Sharp Lower Bounds on Interpolation by Deep ReLU Neural Networks at Irregularly Spaced Data
Fuente:
arXiv
Saved in:
| Main Author: | Siegel, Jonathan W. |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
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)
Universal approximation theorem for neural networks with inputs from a topological vector space
by: Ismailov, Vugar
Published: (2024)
by: Ismailov, Vugar
Published: (2024)
Compression using Quasi-Interpolation
by: Buhmann, Martin, et al.
Published: (2024)
by: Buhmann, Martin, et al.
Published: (2024)
Efficient Approximation to Analytic and $L^p$ functions by Height-Augmented ReLU Networks
by: Li, ZeYu, et al.
Published: (2026)
by: Li, ZeYu, et al.
Published: (2026)
Optimal Approximation Rates for Deep ReLU Neural Networks on Sobolev and Besov Spaces
by: Siegel, Jonathan W.
Published: (2022)
by: Siegel, Jonathan W.
Published: (2022)
Neural Network Operator-Based Fractal Approximation: Smoothness Preservation and Convergence Analysis
by: Bhat, Aaqib Ayoub, et al.
Published: (2025)
by: Bhat, Aaqib Ayoub, et al.
Published: (2025)
Superconvergence points of Hermite spectral interpolation
by: Wang, Haiyong, et al.
Published: (2025)
by: Wang, Haiyong, et al.
Published: (2025)
Greedy Recombination Interpolation Method (GRIM)
by: Lyons, Terry, et al.
Published: (2022)
by: Lyons, Terry, et al.
Published: (2022)
Quasi-interpolation for high-dimensional function approximation
by: Gao, Wenwu, et al.
Published: (2024)
by: Gao, Wenwu, 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)
The Fekete problem in segmental polynomial interpolation
by: Bruno, Ludovico Bruni, et al.
Published: (2024)
by: Bruno, Ludovico Bruni, et al.
Published: (2024)
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)
Convergence analysis of Hermite approximations for analytic functions
by: Wang, Haiyong, et al.
Published: (2023)
by: Wang, Haiyong, et al.
Published: (2023)
Sharp Lower Bounds on the Manifold Widths of Sobolev and Besov Spaces
by: Siegel, Jonathan W.
Published: (2024)
by: Siegel, Jonathan W.
Published: (2024)
Randomized least-squares with minimal oversampling and interpolation in general spaces
by: Chkifa, Abdellah, et al.
Published: (2023)
by: Chkifa, Abdellah, et al.
Published: (2023)
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)
Generalized $C^1$ quadratic B-splines generated by Merrien subdivision algorithm and some applications
by: Sablonniere, Paul
Published: (2004)
by: Sablonniere, Paul
Published: (2004)
Greedy Adaptive Local Recovery of Functions in Sobolev Spaces
by: Schaback, Robert
Published: (2024)
by: Schaback, Robert
Published: (2024)
Approximation Rates for Shallow ReLU$^k$ Neural Networks on Sobolev Spaces via the Radon Transform
by: Mao, Tong, et al.
Published: (2024)
by: Mao, Tong, et al.
Published: (2024)
Convergence and Near-optimal Sampling for Multivariate Function Approximations in Irregular Domains via Vandermonde with Arnoldi
by: Zhu, Wenqi, et al.
Published: (2023)
by: Zhu, Wenqi, et al.
Published: (2023)
On a nonlinear laplacian based filter for noise removal
by: Hoang, Nguyen S
Published: (2024)
by: Hoang, Nguyen S
Published: (2024)
Higher Order Lipschitz Greedy Recombination Interpolation Method (HOLGRIM)
by: Lyons, Terry, et al.
Published: (2024)
by: Lyons, Terry, et al.
Published: (2024)
Approximation Error and Complexity Bounds for ReLU Networks on Low-Regular Function Spaces
by: Davis, Owen, et al.
Published: (2024)
by: Davis, Owen, et al.
Published: (2024)
Quasi-interpolation using generalized Gaussian kernels
by: Gao, Wenwu, et al.
Published: (2024)
by: Gao, Wenwu, et al.
Published: (2024)
Function recovery on manifolds using scattered data
by: Krieg, David, et al.
Published: (2021)
by: Krieg, David, et al.
Published: (2021)
A Kantorovich-type variant of Grünwald Interpolation Operators
by: Vinaya, P. C.
Published: (2026)
by: Vinaya, P. C.
Published: (2026)
A Durrmeyer-type variant of Grünwald Interpolation Operators
by: Vinaya, P. C.
Published: (2026)
by: Vinaya, P. C.
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)
Non-Contrast CT Esophageal Varices Grading through Clinical Prior-Enhanced Multi-Organ Analysis
by: Zhang, Xiaoming, et al.
Published: (2025)
by: Zhang, Xiaoming, et al.
Published: (2025)
Latent Diffusion Autoencoders: Toward Efficient and Meaningful Unsupervised Representation Learning in Medical Imaging
by: Lozupone, Gabriele, et al.
Published: (2025)
by: Lozupone, Gabriele, et al.
Published: (2025)
Multivariate Data-dependent Partition of Unity based on Moving Least Squares method
by: Garcés, Inmaculada, et al.
Published: (2026)
by: Garcés, Inmaculada, et al.
Published: (2026)
Minimum Width of Leaky-ReLU Neural Networks for Uniform Universal Approximation
by: Li, Li'ang, et al.
Published: (2023)
by: Li, Li'ang, et al.
Published: (2023)
Integrating Moving Least Squares with non-linear WENO method: A novel Partition of Unity approach in 1D
by: Garcés, Inmaculada, et al.
Published: (2025)
by: Garcés, Inmaculada, et al.
Published: (2025)
Neural Networks Trained by Weight Permutation are Universal Approximators
by: Cai, Yongqiang, et al.
Published: (2024)
by: Cai, Yongqiang, 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)
Addressing common misinterpretations of KART and UAT in neural network literature
by: Ismailov, Vugar
Published: (2024)
by: Ismailov, Vugar
Published: (2024)
Multivariate Splines and Their Applications
by: Lai, Ming-Jun
Published: (2024)
by: Lai, Ming-Jun
Published: (2024)
On the critical length conjecture for spherical Bessel functions in CAGD
by: Kounchev, Ognyan, et al.
Published: (2025)
by: Kounchev, Ognyan, et al.
Published: (2025)
Geometric Kernel Interpolation and Regression
by: Guidotti, Patrick
Published: (2026)
by: Guidotti, Patrick
Published: (2026)
Similar Items
-
Deep ReLU networks and high-order finite element methods II: Chebyshev emulation
by: Opschoor, Joost A. A., et al.
Published: (2023) -
Universal approximation theorem for neural networks with inputs from a topological vector space
by: Ismailov, Vugar
Published: (2024) -
Compression using Quasi-Interpolation
by: Buhmann, Martin, et al.
Published: (2024) -
Efficient Approximation to Analytic and $L^p$ functions by Height-Augmented ReLU Networks
by: Li, ZeYu, et al.
Published: (2026) -
Optimal Approximation Rates for Deep ReLU Neural Networks on Sobolev and Besov Spaces
by: Siegel, Jonathan W.
Published: (2022)