Solving Nonlinear Conservation Laws of Partial Differential Equations Using Graph Neural Networks.
Qing LiJiahui GengSteinar EvjeChunming RongPublished in: NLDL (2023)
Keyphrases
- conservation laws
- partial differential equations
- solving nonlinear
- neural network
- augmented lagrangian
- image denoising
- stochastic systems
- level set
- numerical solution
- image processing
- total variation
- image enhancement
- denoising
- constrained optimization
- multiscale
- energy functional
- pattern recognition
- differential equations
- weighted graph
- matrix decomposition
- computer vision
- convex optimization
- natural images
- cost function
- image segmentation