High-dimensional approximation spaces of artificial neural networks and applications to partial differential equations.
Pierfrancesco BeneventanoPatrick CheriditoArnulf JentzenPhilippe von WurstembergerPublished in: CoRR (2020)
Keyphrases
- partial differential equations
- artificial neural networks
- approximation spaces
- high dimensional
- rough sets
- image denoising
- image processing
- anisotropic diffusion
- rough set theory
- topological spaces
- level set
- numerical solution
- granular computing
- soft computing
- image enhancement
- computational intelligence
- neural network
- fourth order
- high order
- differential equations
- similarity search
- equivalence relation
- nearest neighbor
- numerical algorithms
- numerical methods
- information entropy
- multiscale
- denoising
- data points
- genetic algorithm
- conservation laws
- decision rules
- fuzzy sets
- machine learning
- binary relations
- information processing
- computer vision
- artificial intelligence