A Priori Error Estimation of Physics-Informed Neural Networks Solving Allen-Cahn and Cahn-Hilliard Equations.
Guangtao ZhangJiani LinQijia ZhaiHuiyu YangXujun ChenXiaoning ZhengIeng Tak LeongPublished in: CoRR (2024)
Keyphrases
- error estimation
- neural network
- nonlinear equations
- error estimates
- model selection
- algebraic equations
- artificial intelligence
- artificial neural networks
- linear equations
- computer science
- polynomial equations
- back propagation
- differential equations
- generalization error
- fault diagnosis
- temporal reasoning
- mathematical model
- multilayer perceptron
- set of linear equations
- numerical methods
- fuzzy systems
- feed forward
- fuzzy logic
- active learning
- genetic algorithm