Polynomial-Augmented Neural Networks (PANNs) with Weak Orthogonality Constraints for Enhanced Function and PDE Approximation.
Madison CooleyShandian ZheRobert M. KirbyVarun ShankarPublished in: CoRR (2024)
Keyphrases
- neural network
- approximation error
- partial differential equations
- genetic algorithm
- closed form
- constraint satisfaction
- fuzzy logic
- artificial neural networks
- linear approximation
- back propagation
- weight function
- smooth functions
- image processing
- constrained optimization
- series expansion
- stationary points
- approximation methods
- continuous functions
- recurrent neural networks
- anisotropic diffusion
- approximation algorithms
- pattern recognition
- piecewise constant
- linear constraints
- multilayer perceptron
- level set
- objective function
- multiscale
- group method of data handling