Solving a class of multi-scale elliptic PDEs by means of Fourier-based mixed physics informed neural networks.
Xi-An LiJinran WuZhi-Qin John XuYou-Gan WangPublished in: CoRR (2023)
Keyphrases
- multiscale
- neural network
- partial differential equations
- computer science
- image processing
- multiple scales
- level set
- genetic algorithm
- artificial intelligence
- pattern recognition
- fuzzy logic
- image denoising
- scale space
- mathematical morphology
- fourier transform
- translation invariant
- anisotropic diffusion
- numerical solution
- natural images
- edge detection
- artificial neural networks
- combinatorial optimization
- back propagation
- multilayer perceptron
- fourier descriptors
- wavelet transform
- diffusion equation
- learning algorithm