Enforcing continuous symmetries in physics-informed neural network for solving forward and inverse problems of partial differential equations.
Zhi-Yong ZhangHui ZhangLi-Sheng ZhangLei-Lei GuoPublished in: J. Comput. Phys. (2023)
Keyphrases
- inverse problems
- partial differential equations
- neural network
- image denoising
- level set
- numerical solution
- anisotropic diffusion
- image reconstruction
- global optimization
- image processing
- energy functional
- image enhancement
- convex optimization
- differential equations
- multiscale
- optimization problems
- optimization methods
- computationally expensive
- computer vision
- cost function
- optical flow
- multiresolution
- pattern recognition
- numerical methods
- feature extraction