Bi-level Physics-Informed Neural Networks for PDE Constrained Optimization using Broyden's Hypergradients.
Zhongkai HaoChengyang YingHang SuJun ZhuJian SongZe ChengPublished in: CoRR (2022)
Keyphrases
- constrained optimization
- bi level
- neural network
- gray scale
- constrained optimization problems
- partial differential equations
- penalty function
- objective function
- constraint handling
- augmented lagrangian
- pricing model
- unconstrained optimization
- inequality constraints
- anisotropic diffusion
- artificial neural networks
- back propagation
- evolutionary strategy
- level set
- lagrange multipliers
- interval analysis
- training algorithm
- color images
- genetic algorithm
- iterative methods
- cost function
- penalty functions
- image processing