On some neural network architectures that can represent viscosity solutions of certain high dimensional Hamilton-Jacobi partial differential equations.
Jérôme DarbonTingwei MengPublished in: CoRR (2020)
Keyphrases
- partial differential equations
- hamilton jacobi
- finite difference
- high dimensional
- boundary value problem
- numerical solution
- differential equations
- numerical algorithms
- anisotropic diffusion
- image denoising
- level set
- image processing
- eikonal equation
- image enhancement
- mathematical morphology
- multiscale
- energy functional
- curve evolution
- nonlinear partial differential equations
- numerical methods
- diffusion equation
- high order
- optimal solution
- numerical analysis
- finite element
- level set method
- denoising
- pairwise
- pattern recognition
- face recognition