Approximation and Gradient Descent Training with Neural Networks
Fuente:
arXiv
Saved in:
| Main Author: | Welper, G. |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
A Low Rank Neural Representation of Entropy Solutions
by: Rim, Donsub, et al.
Published: (2024)
by: Rim, Donsub, et al.
Published: (2024)
Neural-network methods for two-dimensional finite-source reflector design
by: Hacking, Roel, et al.
Published: (2026)
by: Hacking, Roel, et al.
Published: (2026)
Weights initialization of neural networks for function approximation
by: Hu, Xinwen, et al.
Published: (2025)
by: Hu, Xinwen, et al.
Published: (2025)
Time-Frequency Analysis for Neural Networks
by: Abdeljawad, Ahmed, et al.
Published: (2025)
by: Abdeljawad, Ahmed, et al.
Published: (2025)
Derivative-Informed Fourier Neural Operator: Universal Approximation and Applications to PDE-Constrained Optimization
by: Yao, Boyuan, et al.
Published: (2025)
by: Yao, Boyuan, et al.
Published: (2025)
Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approximations
by: Chen, Shuang, et al.
Published: (2026)
by: Chen, Shuang, et al.
Published: (2026)
Multilevel Training for Kolmogorov Arnold Networks
by: Southworth, Ben S., et al.
Published: (2026)
by: Southworth, Ben S., et al.
Published: (2026)
Randomized Matrix Sketching for Neural Network Training and Gradient Monitoring
by: Antil, Harbir, et al.
Published: (2025)
by: Antil, Harbir, et al.
Published: (2025)
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)
Optimal Approximation of Zonoids and Uniform Approximation by Shallow Neural Networks
by: Siegel, Jonathan W.
Published: (2023)
by: Siegel, Jonathan W.
Published: (2023)
SUPN: Shallow Universal Polynomial Networks
by: Morrow, Zachary, et al.
Published: (2025)
by: Morrow, Zachary, et al.
Published: (2025)
New universal operator approximation theorem for encoder-decoder architectures (Preprint)
by: Gödeke, Janek, et al.
Published: (2025)
by: Gödeke, Janek, et al.
Published: (2025)
Approximation of the Proximal Operator of the $\ell_\infty$ Norm Using a Neural Network
by: Linehan, Kathryn, et al.
Published: (2024)
by: Linehan, Kathryn, 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)
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)
Recent Advances in Non-convex Smoothness Conditions and Applicability to Deep Linear Neural Networks
by: Patel, Vivak, et al.
Published: (2024)
by: Patel, Vivak, et al.
Published: (2024)
Uniform Approximation with Quadratic Neural Networks
by: Abdeljawad, Ahmed
Published: (2022)
by: Abdeljawad, Ahmed
Published: (2022)
Convergence of Physics-Informed Neural Networks for Fully Nonlinear PDE's
by: Arakelyan, Avetik, et al.
Published: (2024)
by: Arakelyan, Avetik, et al.
Published: (2024)
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)
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)
Random Projection Neural Networks of Best Approximation: Convergence theory and practical applications
by: Fabiani, Gianluca
Published: (2024)
by: Fabiani, Gianluca
Published: (2024)
Variational conditional normalizing flows for computing second-order mean field control problems
by: Zhao, Jiaxi, et al.
Published: (2025)
by: Zhao, Jiaxi, et al.
Published: (2025)
On the Convergence Behavior of Preconditioned Gradient Descent Toward the Rich Learning Regime
by: Jiang, Shuai, et al.
Published: (2026)
by: Jiang, Shuai, et al.
Published: (2026)
Exact ReLU realization of tensor-product refinement iterates
by: Gantumur, Tsogtgerel
Published: (2026)
by: Gantumur, Tsogtgerel
Published: (2026)
Vanilla Feedforward Neural Networks as a Discretization of Dynamical Systems
by: Duan, Yifei, et al.
Published: (2022)
by: Duan, Yifei, et al.
Published: (2022)
Neural Networks Trained by Weight Permutation are Universal Approximators
by: Cai, Yongqiang, et al.
Published: (2024)
by: Cai, Yongqiang, et al.
Published: (2024)
Universal approximation property of ODENet and ResNet with a single activation function
by: Kimura, Masato, et al.
Published: (2024)
by: Kimura, Masato, et al.
Published: (2024)
Improving Matrix Exponential for Generative AI Flows: A Taylor-Based Approach Beyond Paterson--Stockmeyer
by: Sastre, Jorge, et al.
Published: (2025)
by: Sastre, Jorge, et al.
Published: (2025)
ReLU neural network approximation to piecewise constant functions
by: Cai, Zhiqiang, et al.
Published: (2024)
by: Cai, Zhiqiang, et al.
Published: (2024)
To be or not to be stable, that is the question: understanding neural networks for inverse problems
by: Evangelista, Davide, et al.
Published: (2022)
by: Evangelista, Davide, et al.
Published: (2022)
Transformed Snapshot Interpolation with High Resolution Transforms
by: Welper, G.
Published: (2019)
by: Welper, G.
Published: (2019)
Structure-Preserving Reconstruction of Convex Lipschitz Functionals on Hilbert Spaces from Finite Samples
by: Kratsios, Anastasis
Published: (2026)
by: Kratsios, Anastasis
Published: (2026)
Deep Unfolding Network for Nonlinear Multi-Frequency Electrical Impedance Tomography
by: Alberti, Giovanni S., et al.
Published: (2025)
by: Alberti, Giovanni S., et al.
Published: (2025)
SVD-Preconditioned Gradient Descent Method for Solving Nonlinear Least Squares Problems
by: Chang, Zhipeng, et al.
Published: (2026)
by: Chang, Zhipeng, et al.
Published: (2026)
An Adaptive Tensor-Train Decomposition Approach for Efficient Deep Neural Network Compression
by: Luo, Shiyi, et al.
Published: (2024)
by: Luo, Shiyi, et al.
Published: (2024)
Universal Approximation Constraints of Narrow ResNets: The Tunnel Effect
by: Kuehn, Christian, et al.
Published: (2026)
by: Kuehn, Christian, et al.
Published: (2026)
Error Bound Analysis for the Regularized Loss of Deep Linear Neural Networks
by: Chen, Po, et al.
Published: (2025)
by: Chen, Po, et al.
Published: (2025)
Explicit Construction of Approximate Kolmogorov Superpositions with C2 Smoothness
by: Song, Lunji, et al.
Published: (2025)
by: Song, Lunji, et al.
Published: (2025)
Polyharmonic Cascade
by: Bakhvalov, Yuriy N.
Published: (2025)
by: Bakhvalov, Yuriy N.
Published: (2025)
Global universal approximation of functional input maps on weighted spaces
by: Cuchiero, Christa, et al.
Published: (2023)
by: Cuchiero, Christa, et al.
Published: (2023)
Similar Items
-
A Low Rank Neural Representation of Entropy Solutions
by: Rim, Donsub, et al.
Published: (2024) -
Neural-network methods for two-dimensional finite-source reflector design
by: Hacking, Roel, et al.
Published: (2026) -
Weights initialization of neural networks for function approximation
by: Hu, Xinwen, et al.
Published: (2025) -
Time-Frequency Analysis for Neural Networks
by: Abdeljawad, Ahmed, et al.
Published: (2025) -
Derivative-Informed Fourier Neural Operator: Universal Approximation and Applications to PDE-Constrained Optimization
by: Yao, Boyuan, et al.
Published: (2025)