Error Estimates for Neural Network Solutions of Partial Differential Equations.
Piotr MinakowskiThomas RichterPublished in: CoRR (2021)
Keyphrases
- partial differential equations
- error estimates
- neural network
- boundary value problem
- numerical algorithms
- anisotropic diffusion
- numerical solution
- error estimation
- image denoising
- image processing
- differential equations
- level set
- fourth order
- cross validation
- nonlinear partial differential equations
- multiscale
- energy functional
- numerical methods
- image enhancement
- problems in image processing
- finite difference method
- image analysis
- error analysis
- curve evolution
- edge detection
- diffusion equation
- finite difference
- least squares
- optimal solution
- similarity measure
- image segmentation
- conservation laws
- lattice boltzmann
- machine learning