Achieving Universal Approximation and Universal Interpolation via Nonlinearity of Control Families
Fuente:
arXiv
Saved in:
| Main Authors: | Cai, Yongqiang, Duan, Yifei |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
A Minimal Control Family of Dynamical Systems for Universal Approximation
by: Duan, Yifei, et al.
Published: (2023)
by: Duan, Yifei, et al.
Published: (2023)
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)
Vanilla Feedforward Neural Networks as a Discretization of Dynamical Systems
by: Duan, Yifei, et al.
Published: (2022)
by: Duan, Yifei, et al.
Published: (2022)
How Can Deep Neural Networks Fail Even With Global Optima?
by: Guan, Qingguang
Published: (2024)
by: Guan, Qingguang
Published: (2024)
Neural-HSS: Hierarchical Semi-Separable Neural PDE Solver
by: Sittoni, Pietro, et al.
Published: (2026)
by: Sittoni, Pietro, et al.
Published: (2026)
On Erlang mixture approximations for differential equations with distributed time delays
by: Ritschel, Tobias K. S.
Published: (2025)
by: Ritschel, Tobias K. S.
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)
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)
Neural Networks for Threshold Dynamics Reconstruction
by: Negrini, Elisa, et al.
Published: (2024)
by: Negrini, Elisa, et al.
Published: (2024)
A Structure-Preserving Rational Integrator for the Replicator Dynamics on the Probability Simplex
by: Pezzella, Mario
Published: (2025)
by: Pezzella, Mario
Published: (2025)
A physics-informed neural network method for the approximation of slow invariant manifolds for the general class of stiff systems of ODEs
by: Patsatzis, Dimitrios G., et al.
Published: (2024)
by: Patsatzis, Dimitrios G., et al.
Published: (2024)
Inconsistency Removal of Reduced Bases in Parametric Model Order Reduction by Matrix Interpolation using Adaptive Sampling and Clustering
by: Resch-Schopper, Sebastian, et al.
Published: (2024)
by: Resch-Schopper, Sebastian, et al.
Published: (2024)
Streaming Compression of Scientific Data via weak-SINDy
by: Russo, Benjamin P., et al.
Published: (2023)
by: Russo, Benjamin P., et al.
Published: (2023)
A template for gradient norm minimization
by: Florea, Mihai I.
Published: (2024)
by: Florea, Mihai I.
Published: (2024)
An optimal lower bound for smooth convex functions
by: Florea, Mihai I., et al.
Published: (2024)
by: Florea, Mihai I., et al.
Published: (2024)
Adaptive first-order methods with enhanced worst-case rates
by: Florea, Mihai I.
Published: (2024)
by: Florea, Mihai I.
Published: (2024)
RandONet: Shallow-Networks with Random Projections for learning linear and nonlinear operators
by: Fabiani, Gianluca, et al.
Published: (2024)
by: Fabiani, Gianluca, et al.
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)
An Operator Learning Approach to Nonsmooth Optimal Control of Nonlinear PDEs
by: Song, Yongcun, et al.
Published: (2024)
by: Song, Yongcun, et al.
Published: (2024)
Matrix Pre-orthogonal Matching Pursuit and Pseudo-Inverse
by: Qu, Wei, et al.
Published: (2024)
by: Qu, Wei, et al.
Published: (2024)
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)
OCTANE -- Optimal Control for Tensor-based Autoencoder Network Emergence: Explicit Case
by: Khatri, Ratna, et al.
Published: (2025)
by: Khatri, Ratna, et al.
Published: (2025)
High order positivity-preserving numerical methods for a non-local photochemical model
by: Pezzella, Mario
Published: (2025)
by: Pezzella, Mario
Published: (2025)
Greedy Recombination Interpolation Method (GRIM)
by: Lyons, Terry, et al.
Published: (2022)
by: Lyons, Terry, et al.
Published: (2022)
Physics aware machine learning for micromagnetic energy minimization: recent algorithmic developments
by: Schaffer, Sebastian, et al.
Published: (2024)
by: Schaffer, Sebastian, et al.
Published: (2024)
Interpolation and inverse problems in spectral Barron spaces
by: Lu, Shuai, et al.
Published: (2025)
by: Lu, Shuai, et al.
Published: (2025)
Universal Approximation of Dynamical Systems by Semi-Autonomous Neural ODEs and Applications
by: Li, Ziqian, et al.
Published: (2024)
by: Li, Ziqian, et al.
Published: (2024)
Enhancing Future Prediction of Linear and Nonlinear Reduced-Order Models for Transport-Dominated Problems Using Lagrangian Data
by: Li, Meng, et al.
Published: (2026)
by: Li, Meng, et al.
Published: (2026)
Parallel Version of CORSIKA Code with Cherenkov Option for SPHERE-3 Project
by: Ziva, M. D., et al.
Published: (2026)
by: Ziva, M. D., et al.
Published: (2026)
Consistent Parametric Model Order Reduction by Matrix Interpolation for Varying Underlying Meshes
by: Resch-Schopper, Sebastian, et al.
Published: (2025)
by: Resch-Schopper, Sebastian, et al.
Published: (2025)
Network Inpainting via Optimal Transport
by: Facca, Enrico, et al.
Published: (2024)
by: Facca, Enrico, et al.
Published: (2024)
Data Completion for Electrical Impedance Tomography by Conditional Diffusion Models
by: Chen, Ke, et al.
Published: (2026)
by: Chen, Ke, et al.
Published: (2026)
Dynamics of a Model of Polluted Lakes via Fractal-Fractional Operators with Two Different Numerical Algorithms
by: Kanwal, Tanzeela, et al.
Published: (2024)
by: Kanwal, Tanzeela, et al.
Published: (2024)
Investigating Ocean Circulation Dynamics Through Data Assimilation: A Mathematical Study Using the Stommel Box Model with Rapid Oscillatory Forcings
by: Smith, Nathaniel, et al.
Published: (2024)
by: Smith, Nathaniel, et al.
Published: (2024)
PODNO: Proper Orthogonal Decomposition Neural Operators
by: Cheng, Zilan, et al.
Published: (2025)
by: Cheng, Zilan, et al.
Published: (2025)
SUPN: Shallow Universal Polynomial Networks
by: Morrow, Zachary, et al.
Published: (2025)
by: Morrow, Zachary, et al.
Published: (2025)
A network based approach for unbalanced optimal transport on surfaces
by: Pan, Jiangong, et al.
Published: (2024)
by: Pan, Jiangong, et al.
Published: (2024)
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation
by: Reiter, Sean, et al.
Published: (2025)
by: Reiter, Sean, et al.
Published: (2025)
Fast algorithms for interpolation with clamped $L$-splines of order four
by: Kounchev, O., et al.
Published: (2026)
by: Kounchev, O., et al.
Published: (2026)
Model reduction techniques for linear constant coefficient port-Hamiltonian differential-algebraic systems
by: Hauschild, Sarah-Alexa, et al.
Published: (2019)
by: Hauschild, Sarah-Alexa, et al.
Published: (2019)
Similar Items
-
A Minimal Control Family of Dynamical Systems for Universal Approximation
by: Duan, Yifei, et al.
Published: (2023) -
Minimum Width of Leaky-ReLU Neural Networks for Uniform Universal Approximation
by: Li, Li'ang, et al.
Published: (2023) -
Vanilla Feedforward Neural Networks as a Discretization of Dynamical Systems
by: Duan, Yifei, et al.
Published: (2022) -
How Can Deep Neural Networks Fail Even With Global Optima?
by: Guan, Qingguang
Published: (2024) -
Neural-HSS: Hierarchical Semi-Separable Neural PDE Solver
by: Sittoni, Pietro, et al.
Published: (2026)