Reproducing Kernel Hilbert Spaces for Parametric Partial Differential Equations.
Michael GriebelChristian RiegerPublished in: SIAM/ASA J. Uncertain. Quantification (2017)
Keyphrases
- partial differential equations
- reproducing kernel hilbert space
- loss function
- kernel methods
- image denoising
- anisotropic diffusion
- level set
- image enhancement
- learning theory
- image processing
- euclidean space
- kernel function
- data dependent
- numerical solution
- distance measure
- special case
- density estimation
- learning problems
- multiscale
- vector valued
- domain adaptation
- energy functional
- gaussian process
- input space
- numerical methods
- real valued
- gaussian kernel
- high order
- diffusion equation
- differential equations
- kernel matrix
- linear model
- sufficient conditions
- denoising
- semi supervised
- multiresolution