Bayesian neural networks for weak solution of PDEs with uncertainty quantification.
Xiaoxuan ZhangKrishna C. GarikipatiPublished in: CoRR (2021)
Keyphrases
- neural network
- pattern recognition
- maximum likelihood
- artificial neural networks
- fault diagnosis
- partial differential equations
- decision theory
- exact solution
- uncertain data
- bayesian inference
- linear equations
- bayesian learning
- training process
- multi layer
- anisotropic diffusion
- closed form
- mathematical model
- objective function
- genetic algorithm