Multi-scale Deep Neural Networks for Solving High Dimensional PDEs.
Wei CaiZhi-Qin John XuPublished in: CoRR (2019)
Keyphrases
- neural network
- high dimensional
- multiscale
- partial differential equations
- pattern recognition
- low dimensional
- dimensionality reduction
- scale space
- image processing
- artificial neural networks
- genetic algorithm
- multi layer
- fuzzy logic
- nearest neighbor
- input space
- edge detection
- similarity search
- multiple scales
- fuzzy systems
- numerical solution
- metric space
- parameter space
- noisy data
- natural images
- gene expression data
- high dimensional data
- high dimensionality
- back propagation
- data sets
- coarse to fine
- level set
- convex optimization
- differential equations
- anisotropic diffusion
- wavelet transform
- data points
- feature space
- search algorithm
- fourth order