An Interpretable Approach to the Solutions of High-Dimensional Partial Differential Equations.
Lulu CaoYufei LiuZhenzhong WangDejun XuKai YeKay Chen TanMin JiangPublished in: AAAI (2024)
Keyphrases
- partial differential equations
- high dimensional
- boundary value problem
- numerical algorithms
- level set
- anisotropic diffusion
- numerical solution
- image denoising
- nonlinear partial differential equations
- image processing
- image enhancement
- fourth order
- differential equations
- low dimensional
- dimensionality reduction
- multiscale
- energy functional
- numerical methods
- high order
- problems in image processing
- finite difference
- diffusion equation
- optimal solution
- curve evolution
- finite difference method
- boundary element
- finite element
- boundary conditions
- pattern recognition
- numerical scheme
- feature extraction
- ambrosio tortorelli
- high dimensional data