Convergence Analysis of Block Newton Methods for 1D Shallow Neural Network Approximation
Fuente:
arXiv
Saved in:
| Main Authors: | Cai, Zhiqiang, Doktorova, Anastassia, Falgout, Robert D., Herrera, César |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Efficient Shallow Ritz Method For 1D Diffusion Problems
by: Cai, Zhiqiang, et al.
Published: (2024)
by: Cai, Zhiqiang, et al.
Published: (2024)
Efficient Shallow Ritz Method For 1D Diffusion-Reaction Problems
by: Cai, Zhiqiang, et al.
Published: (2024)
by: Cai, Zhiqiang, et al.
Published: (2024)
A Structure-Guided Gauss-Newton Method for Shallow ReLU Neural Network
by: Cai, Zhiqiang, et al.
Published: (2024)
by: Cai, Zhiqiang, et al.
Published: (2024)
Finite Samples for Shallow Neural Networks
by: Xia, Yu, et al.
Published: (2025)
by: Xia, Yu, et al.
Published: (2025)
Least-Squares Neural Network (LSNN) Method for Scalar Hyperbolic Partial Differential Equations
by: Liu, Min, et al.
Published: (2026)
by: Liu, Min, et al.
Published: (2026)
Nodal Coarsening and Sparse Ideal Interpolation for H(curl) Problems in Algebraic Multigrid
by: Shen, Taoli, et al.
Published: (2026)
by: Shen, Taoli, et al.
Published: (2026)
Nodal AMG Coarsening and Interpolation for PDE Systems
by: Brannick, James, et al.
Published: (2025)
by: Brannick, James, et al.
Published: (2025)
Neural Networks in Numerical Analysis and Approximation Theory
by: Romera, Gonzalo
Published: (2024)
by: Romera, Gonzalo
Published: (2024)
Why Shallow Networks Struggle to Approximate and Learn High Frequencies
by: Zhang, Shijun, et al.
Published: (2023)
by: Zhang, Shijun, et al.
Published: (2023)
Domain Decomposition Subspace Neural Network Method for Solving Linear and Nonlinear Partial Differential Equations
by: Fu, Zhenxing, et al.
Published: (2025)
by: Fu, Zhenxing, et al.
Published: (2025)
Parallel-in-time solution of hyperbolic PDE systems via characteristic-variable block preconditioning
by: Krzysik, O. A., et al.
Published: (2024)
by: Krzysik, O. A., et al.
Published: (2024)
Parallel-in-time solution of scalar nonlinear conservation laws
by: Krzysik, O. A., et al.
Published: (2024)
by: Krzysik, O. A., et al.
Published: (2024)
Analysis of Convergence for the IPA-AC Method
by: Yang, Xiuzhu, et al.
Published: (2026)
by: Yang, Xiuzhu, et al.
Published: (2026)
What Can One Expect When Solving PDEs Using Shallow Neural Networks?
by: He, Roy Y., et al.
Published: (2025)
by: He, Roy Y., et al.
Published: (2025)
Weak form Shallow Ice Approximation models with an improved time step restriction
by: Tominec, Igor, et al.
Published: (2024)
by: Tominec, Igor, et al.
Published: (2024)
On the Stability and Convergence of Physics Informed Neural Networks
by: Gazoulis, Dimitrios, et al.
Published: (2023)
by: Gazoulis, Dimitrios, et al.
Published: (2023)
Stability of Least Squares Approximation under Random Sampling
by: Xu, Zhiqiang, et al.
Published: (2024)
by: Xu, Zhiqiang, et al.
Published: (2024)
Least-Squares Neural Network (LSNN) Method For Linear Advection-Reaction Equation: Discontinuity Interface
by: Cai, Zhiqiang, et al.
Published: (2023)
by: Cai, Zhiqiang, et al.
Published: (2023)
Least-Squares Neural Network (LSNN) Method For Linear Advection-Reaction Equation: Non-constant Jumps
by: Cai, Zhiqiang, et al.
Published: (2023)
by: Cai, Zhiqiang, et al.
Published: (2023)
P-order: Unified Convergence Analysis for Nonlinear Iterative Methods
by: Jiao, Xiangmin, et al.
Published: (2025)
by: Jiao, Xiangmin, et al.
Published: (2025)
Convergence Analysis of Virtual Element Methods for the Sobolev Equation with Convection
by: Kumar, Ankit, et al.
Published: (2025)
by: Kumar, Ankit, et al.
Published: (2025)
Higher-Order Corrections to Optimisers based on Newton's Method
by: Brooks, S. J.
Published: (2023)
by: Brooks, S. J.
Published: (2023)
Convergence of Multi-Level Hybrid Monte Carlo Methods for 1-D Particle Transport Problems
by: Novellino, Vincent N., et al.
Published: (2025)
by: Novellino, Vincent N., et al.
Published: (2025)
Convergence of Stochastic Gradient Methods for Wide Two-Layer Physics-Informed Neural Networks
by: Jin, Bangti, et al.
Published: (2025)
by: Jin, Bangti, 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)
Improved Convergence and Approximation properties of Baskakov-Durrmeyer Operators
by: Kaur, Jaspreet, et al.
Published: (2024)
by: Kaur, Jaspreet, et al.
Published: (2024)
Multigrade Neural Network Approximation
by: Zhang, Shijun, et al.
Published: (2026)
by: Zhang, Shijun, et al.
Published: (2026)
An Optimally Convergent parallel splitting Algorithm for the Multiple-Network Poroelasticity Model
by: Zhao, Jijing, et al.
Published: (2025)
by: Zhao, Jijing, et al.
Published: (2025)
Fractional Newton-Raphson Method
by: Torres-Hernandez, A., et al.
Published: (2017)
by: Torres-Hernandez, A., et al.
Published: (2017)
Convergence of a damped Newton's method for discrete Monge-Ampere functions with a prescribed asymptotic cone
by: Awanou, Gerard
Published: (2019)
by: Awanou, Gerard
Published: (2019)
Combining Nonlinear FETI-DP Methods and Quasi-Newton Methods using an SQP Approach
by: Köhler, Stephan, et al.
Published: (2025)
by: Köhler, Stephan, et al.
Published: (2025)
Block Discrete Empirical Interpolation Methods
by: Gidisu, Perfect Y., et al.
Published: (2022)
by: Gidisu, Perfect Y., et al.
Published: (2022)
Double Fourier Sphere Methods with Low Rank Approximation for Block Copolymer Systems on Sphere
by: Luo, Wangbo, et al.
Published: (2025)
by: Luo, Wangbo, et al.
Published: (2025)
Convergence Analysis of the Alternating Anderson-Picard Method for Nonlinear Fixed-point Problems
by: Feng, Xue, et al.
Published: (2024)
by: Feng, Xue, et al.
Published: (2024)
CLINN: Conservation Law Informed Neural Network for Approximating Discontinuous Solutions
by: Zeng, Weiheng, et al.
Published: (2025)
by: Zeng, Weiheng, et al.
Published: (2025)
Provably Convergent and Robust Newton-Raphson Method: A New Dawn in Primitive Variable Recovery for Relativistic MHD
by: Cai, Chaoyi, et al.
Published: (2024)
by: Cai, Chaoyi, et al.
Published: (2024)
Convergence Analysis of a Spectral Numerical Method for a Peridynamic Formulation of Richards' Equation
by: Difonzo, Fabio V., et al.
Published: (2023)
by: Difonzo, Fabio V., et al.
Published: (2023)
Exponential Convergence of Deep Composite Polynomial Approximation for Cusp-Type Functions
by: Yeon, Kingsley, et al.
Published: (2025)
by: Yeon, Kingsley, et al.
Published: (2025)
Numerical Approximations and Convergence Analysis of Piecewise Diffusion Markov Processes, with Application to Glioma Cell Migration
by: Buckwar, Evelyn, et al.
Published: (2024)
by: Buckwar, Evelyn, et al.
Published: (2024)
Bayesian Blocks in Two or More Dimensions: Image Segmentation and Cluster Analysis
by: Scargle, Jeffrey D.
Published: (2001)
by: Scargle, Jeffrey D.
Published: (2001)
Similar Items
-
Efficient Shallow Ritz Method For 1D Diffusion Problems
by: Cai, Zhiqiang, et al.
Published: (2024) -
Efficient Shallow Ritz Method For 1D Diffusion-Reaction Problems
by: Cai, Zhiqiang, et al.
Published: (2024) -
A Structure-Guided Gauss-Newton Method for Shallow ReLU Neural Network
by: Cai, Zhiqiang, et al.
Published: (2024) -
Finite Samples for Shallow Neural Networks
by: Xia, Yu, et al.
Published: (2025) -
Least-Squares Neural Network (LSNN) Method for Scalar Hyperbolic Partial Differential Equations
by: Liu, Min, et al.
Published: (2026)