Sparse tensor discretizations of high-dimensional parametric and stochastic PDEs.
Christoph SchwabClaude Jeffrey GittelsonPublished in: Acta Numer. (2011)
Keyphrases
- high dimensional
- dimensionality reduction
- sparse data
- high order
- partial differential equations
- low dimensional
- high dimensionality
- high dimension
- data points
- monte carlo
- similarity search
- feature space
- high dimensional data
- variable selection
- tensor factorization
- nearest neighbor
- sparse coding
- higher order
- level set
- fourth order
- additive models
- multi dimensional
- metric space
- sparse representation
- diffusion tensor
- image denoising
- parameter space
- input space
- parametric models
- numerical solution
- feature extraction
- scalar valued