ConvPDE-UQ: Convolutional neural networks with quantified uncertainty for heterogeneous elliptic partial differential equations on varied domains.
Nick WinovichKarthik RamaniGuang LinPublished in: J. Comput. Phys. (2019)
Keyphrases
- partial differential equations
- convolutional neural networks
- anisotropic diffusion
- image denoising
- image processing
- numerical solution
- level set
- boundary value problem
- multiscale
- fourth order
- convolutional network
- numerical methods
- differential equations
- image enhancement
- problems in image processing
- mathematical morphology
- energy functional
- diffusion equation
- curve evolution
- numerical scheme
- high order
- numerical algorithms
- nonlinear diffusion
- difference equations
- conservation laws
- machine learning
- nonlinear partial differential equations