Self-adaptive deep neural network: Numerical approximation to functions and PDEs.
Zhiqiang CaiJingshuang ChenMin LiuPublished in: J. Comput. Phys. (2022)
Keyphrases
- neural network
- partial differential equations
- solving partial differential equations
- continuous functions
- filled function method
- approximation algorithms
- image denoising
- finite difference
- curve evolution
- numerical methods
- neural network model
- back propagation
- numerical solution
- numerical scheme
- sensitivity analysis
- artificial neural networks
- pattern recognition
- activation function
- network architecture
- recurrent neural networks
- anisotropic diffusion
- neural nets
- error bounds
- level set
- np hard
- genetic algorithm
- feed forward
- mathematical morphology
- closed form
- dynamical systems
- approximation error
- basis functions
- natural images
- fourth order
- numerical algorithms
- numerical calculation