Data-driven derivation of partial differential equations using neural network model.
Koji KoyamadaYu LongTakuma KawamuraKatsumi KonishiPublished in: Int. J. Model. Simul. Sci. Comput. (2021)
Keyphrases
- neural network model
- partial differential equations
- data driven
- neural network
- image denoising
- artificial neural networks
- anisotropic diffusion
- level set
- image processing
- numerical solution
- image enhancement
- differential equations
- finite difference
- bp neural network
- energy functional
- mathematical morphology
- hopfield network
- problems in image processing
- diffusion equation
- numerical algorithms
- neural models
- rbf neural network
- multiscale
- fourth order
- boundary value problem
- high order
- natural images
- numerical scheme
- dynamic characteristics
- difference equations
- conservation laws
- curve evolution
- edge detection
- image analysis
- computer vision