A Deep Neural Network Surrogate for High-Dimensional Random Partial Differential Equations.
Mohammad Amin NabianHadi MeidaniPublished in: CoRR (2018)
Keyphrases
- partial differential equations
- neural network
- high dimensional
- anisotropic diffusion
- image processing
- numerical solution
- level set
- image denoising
- low dimensional
- image enhancement
- fourth order
- multiscale
- numerical methods
- numerical algorithms
- numerical scheme
- energy functional
- finite difference
- pattern recognition
- differential equations
- finite difference method
- parameter space
- diffusion equation
- problems in image processing
- total variation
- mathematical morphology
- high order
- high dimensional data
- dimensionality reduction
- boundary value problem
- data points
- difference equations
- feature space
- curve evolution
- image analysis
- conservation laws
- feature extraction
- lattice boltzmann