Deep Neural Networks and Smooth Approximation of PDEs.
Kamil DolegloMaciej PaszynskiLeszek F. DemkowiczPublished in: ICCS (1) (2022)
Keyphrases
- neural network
- partial differential equations
- pattern recognition
- numerical scheme
- back propagation
- recurrent neural networks
- piecewise constant
- numerical solution
- multi layer
- neural nets
- feed forward
- artificial neural networks
- fuzzy logic
- neural network model
- genetic algorithm
- approximation methods
- approximation error
- deep learning
- network architecture
- anisotropic diffusion
- fuzzy systems
- level set
- rule extraction
- computer vision
- approximation algorithms
- energy function
- closed form
- error bounds