Data driven governing equations approximation using deep neural networks.
Tong QinKailiang WuDongbin XiuPublished in: J. Comput. Phys. (2019)
Keyphrases
- data driven
- neural network
- mathematical model
- fault diagnosis
- back propagation
- numerical integration
- neural nets
- neural network model
- pattern recognition
- genetic algorithm
- difference equations
- artificial neural networks
- competitive learning
- learning rules
- differential equations
- data sets
- approximation error
- deep learning
- numerical solution
- feed forward
- error bounds
- radial basis function
- closed form
- approximation algorithms
- multi layer perceptron
- training data
- queueing networks
- self organizing maps
- approximation methods
- special case
- probabilistic model