Deep backward schemes for high-dimensional nonlinear PDEs.
Côme HuréHuyên PhamXavier WarinPublished in: Math. Comput. (2020)
Keyphrases
- high dimensional
- diffusion equation
- partial differential equations
- high dimensional feature space
- high dimension
- numerical scheme
- similarity search
- nonlinear diffusion
- nearest neighbor
- level set
- sparse data
- finite difference
- feature space
- anisotropic diffusion
- high dimensional data
- high dimensionality
- high order
- image denoising
- low dimensional
- dimensionality reduction
- difference equations
- solving partial differential equations
- kernel principal component analysis
- forward and backward
- forward backward
- metric space
- microarray data
- kernel function
- multi dimensional
- data points
- low dimensional manifolds
- neural network
- operator splitting
- nonlinear diffusion filtering
- shock filter
- gaussian process latent variable models
- eikonal equation
- image processing
- multiscale
- numerical solution
- numerical algorithms
- noisy data
- curve evolution