Solving High Dimensional Partial Differential Equations Using Tensor Type Discretization and Optimization Process.
Yangfei LiaoYifan WangHehu XiePublished in: CoRR (2022)
Keyphrases
- optimization process
- partial differential equations
- high dimensional
- optimization method
- high order
- image denoising
- anisotropic diffusion
- numerical solution
- dimensionality reduction
- level set
- image processing
- fourth order
- numerical methods
- scalar valued
- differential equations
- image enhancement
- low dimensional
- diffusion tensor
- numerical algorithms
- numerical scheme
- higher order
- multiscale
- energy functional
- machine learning
- simulated annealing
- problems in image processing
- diffusion equation
- boundary value problem
- dt mri
- neural network
- boundary element
- finite difference
- parameter space
- denoising
- cost function
- image segmentation