Parametric Encoding with Attention and Convolution Mitigate Spectral Bias of Neural Partial Differential Equation Solvers.
Mehdi ShishehborShirin HosseinmardiRamin BostanabadPublished in: CoRR (2024)
Keyphrases
- partial differential equations
- image processing
- diffusion equation
- integral equation
- anisotropic diffusion
- image denoising
- level set
- numerical solution
- numerical algorithms
- numerical methods
- image enhancement
- neural network
- fourth order
- problems in image processing
- energy functional
- denoising
- multiscale
- finite difference
- hamilton jacobi
- finite difference method
- boundary value problem
- regularization method
- nonlinear partial differential equations
- computer vision
- piecewise smooth
- scale spaces
- spectral analysis
- curve evolution
- linear systems
- numerical scheme
- sat solvers
- image smoothing
- differential equations
- numerical integration
- high order
- wavelet transform
- multiresolution
- image segmentation