High-Dimensional Adaptive Sparse Polynomial Interpolation and Applications to Parametric PDEs.
Abdellah ChkifaAlbert CohenChristoph SchwabPublished in: Found. Comput. Math. (2014)
Keyphrases
- input space
- high dimensional
- low dimensional
- dimensionality reduction
- high dimension
- feature space
- high dimensional data
- sparse data
- data points
- nearest neighbor
- high dimensionality
- partial differential equations
- kernel function
- similarity search
- parameter space
- variable selection
- multi dimensional
- noisy data
- linear interpolation
- additive models
- piecewise polynomial
- partial derivatives
- sparse sampling
- image processing
- anisotropic diffusion
- dimension reduction
- numerical solution
- compressive sensing
- energy functional
- sparse coding
- interpolation filter
- natural images
- multiscale