ReLU neural network approximation to piecewise constant functions
Fuente:
arXiv
Saved in:
| Main Authors: | Cai, Zhiqiang, Choi, Junpyo, Liu, Min |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
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 best approximation by multivariate ridge functions with applications to generalized translation networks
by: Geuchen, Paul, et al.
Published: (2024)
by: Geuchen, Paul, 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)
Exact ReLU realization of tensor-product refinement iterates
by: Gantumur, Tsogtgerel
Published: (2026)
by: Gantumur, Tsogtgerel
Published: (2026)
Approximation bounds for norm constrained deep neural networks
by: Maiale, Francesco Paolo, et al.
Published: (2025)
by: Maiale, Francesco Paolo, et al.
Published: (2025)
A Class of Random-Kernel Network Models
by: Tian, James
Published: (2025)
by: Tian, James
Published: (2025)
Weights initialization of neural networks for function approximation
by: Hu, Xinwen, et al.
Published: (2025)
by: Hu, Xinwen, et al.
Published: (2025)
Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks
by: Siegel, Jonathan W.
Published: (2023)
by: Siegel, Jonathan W.
Published: (2023)
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)
Time-Frequency Analysis for Neural Networks
by: Abdeljawad, Ahmed, et al.
Published: (2025)
by: Abdeljawad, Ahmed, et al.
Published: (2025)
A theoretical analysis on the inversion of matrices via Neural Networks designed with Strassen algorithm
by: Romera, Gonzalo, et al.
Published: (2025)
by: Romera, Gonzalo, et al.
Published: (2025)
Bridging the Gap Between Approximation and Learning via Optimal Approximation by ReLU MLPs of Maximal Regularity
by: Hong, Ruiyang, et al.
Published: (2024)
by: Hong, Ruiyang, 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)
On the existence of minimizers in shallow residual ReLU neural network optimization landscapes
by: Dereich, Steffen, et al.
Published: (2023)
by: Dereich, Steffen, et al.
Published: (2023)
Spectral Barron space for deep neural network approximation
by: Liao, Yulei, et al.
Published: (2023)
by: Liao, Yulei, et al.
Published: (2023)
Exact Loop Controllers for ReLU Realization of Homogeneous Curve Refinements
by: Bolorkhuu, Boldsaikhan, et al.
Published: (2026)
by: Bolorkhuu, Boldsaikhan, et al.
Published: (2026)
On the existence of optimal shallow feedforward networks with ReLU activation
by: Dereich, Steffen, et al.
Published: (2023)
by: Dereich, Steffen, et al.
Published: (2023)
Quantitative Approximation Rates for Group Equivariant Learning
by: Siegel, Jonathan W., et al.
Published: (2026)
by: Siegel, Jonathan W., et al.
Published: (2026)
A Low Rank Neural Representation of Entropy Solutions
by: Rim, Donsub, et al.
Published: (2024)
by: Rim, Donsub, et al.
Published: (2024)
Structure-Preserving Reconstruction of Convex Lipschitz Functionals on Hilbert Spaces from Finite Samples
by: Kratsios, Anastasis
Published: (2026)
by: Kratsios, Anastasis
Published: (2026)
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)
Sharp Lower Bounds on the Manifold Widths of Sobolev and Besov Spaces
by: Siegel, Jonathan W.
Published: (2024)
by: Siegel, Jonathan W.
Published: (2024)
Korovkin-type approximation for non-positive operators
by: Kumar, V. B. Kiran, et al.
Published: (2024)
by: Kumar, V. B. Kiran, et al.
Published: (2024)
Best $m$-term trigonometric approximation in weighted Wiener spaces and applications
by: Moeller, Moritz, et al.
Published: (2025)
by: Moeller, Moritz, et al.
Published: (2025)
Equidistribution-based training of Free Knot Splines and ReLU Neural Networks
by: Appella, Simone, et al.
Published: (2024)
by: Appella, Simone, et al.
Published: (2024)
Ridge Kernel Averaging and Uniform Approximation
by: Tian, James
Published: (2025)
by: Tian, James
Published: (2025)
Dimension-independent learning rates for high-dimensional classification problems
by: Lerma-Pineda, Andres Felipe, et al.
Published: (2024)
by: Lerma-Pineda, Andres Felipe, et al.
Published: (2024)
Reconstructing derivatives from values of functions belonging to Nikolskii-Besov classes of mixed smoothness in domains of a certain kind
by: Kudryavtsev, S. N.
Published: (2022)
by: Kudryavtsev, S. N.
Published: (2022)
Taylor-Accelerated Neural Network Interpolation Operators on Irregular Grids with Higher Order Approximation
by: Saini, Sachin
Published: (2026)
by: Saini, Sachin
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)
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)
Weighted Sobolev Approximation Rates for Neural Networks on Unbounded Domains
by: Abdeljawad, Ahmed, et al.
Published: (2024)
by: Abdeljawad, Ahmed, et al.
Published: (2024)
The Lebesgue constant for uniform approximation of differential forms
by: Bruno, Ludovico Bruni, et al.
Published: (2025)
by: Bruno, Ludovico Bruni, et al.
Published: (2025)
A universal approximation theorem and its applications to vector lattice theory
by: Bilokopytov, Eugene, et al.
Published: (2025)
by: Bilokopytov, Eugene, et al.
Published: (2025)
A note concerning polyhyperbolic and related splines
by: Ledford, Jeff, et al.
Published: (2023)
by: Ledford, Jeff, et al.
Published: (2023)
Weighted Approximation By Max-Product Generalized Exponential Sampling Series
by: Pradhan, Satyaranjan, et al.
Published: (2024)
by: Pradhan, Satyaranjan, et al.
Published: (2024)
Neural empirical interpolation method for nonlinear model reduction
by: Hirsch, Max, et al.
Published: (2024)
by: Hirsch, Max, et al.
Published: (2024)
Approximation by linear sampling operators in Banach spaces
by: Kolomoitsev, Yurii
Published: (2026)
by: Kolomoitsev, Yurii
Published: (2026)
On finite-dimensional encoding/decoding theorems for neural operators
by: Oliveira, Vinícius Luz, et al.
Published: (2026)
by: Oliveira, Vinícius Luz, et al.
Published: (2026)
A survey on sampling recovery
by: Dai, F., et al.
Published: (2026)
by: Dai, F., et al.
Published: (2026)
Similar Items
-
On the growth of the parameters of approximating ReLU neural networks
by: Morina, Erion, et al.
Published: (2024) -
On best approximation by multivariate ridge functions with applications to generalized translation networks
by: Geuchen, Paul, et al.
Published: (2024) -
Approximation Error and Complexity Bounds for ReLU Networks on Low-Regular Function Spaces
by: Davis, Owen, et al.
Published: (2024) -
Exact ReLU realization of tensor-product refinement iterates
by: Gantumur, Tsogtgerel
Published: (2026) -
Approximation bounds for norm constrained deep neural networks
by: Maiale, Francesco Paolo, et al.
Published: (2025)