Machine-learning custom-made basis functions for partial differential equations.
Brek MeurisSaad QadeerPanos StinisPublished in: CoRR (2021)
Keyphrases
- basis functions
- partial differential equations
- machine learning
- linear combination
- anisotropic diffusion
- level set
- image denoising
- image processing
- numerical solution
- image enhancement
- b spline
- state space
- multiscale
- matching pursuit
- learning algorithm
- fourth order
- differential equations
- curve evolution
- reinforcement learning
- set of basis functions
- wavelet bases
- numerical algorithms
- computer vision
- factored mdps
- energy functional
- numerical methods
- diffusion equation
- finite difference
- feature selection
- lattice boltzmann
- markov decision processes
- numerical scheme
- objective function
- pattern recognition
- computational complexity