Approximation of high-dimensional parametric PDEs.
Albert CohenRonald A. DeVorePublished in: CoRR (2015)
Keyphrases
- high dimensional
- partial differential equations
- numerical scheme
- low dimensional
- similarity search
- high dimensionality
- numerical solution
- sparse data
- variable selection
- dimensionality reduction
- error bounds
- solving partial differential equations
- data sets
- approximation algorithms
- mathematical morphology
- image denoising
- high dimensional data
- multi dimensional
- anisotropic diffusion
- approximation methods
- approximation error
- relative error
- feature space
- closed form
- data points
- nearest neighbor
- sparse coding
- queueing networks
- difference equations
- eikonal equation
- image processing
- computer vision
- discrete data
- high dimensional datasets
- input space
- kernel function
- high order