Error analysis for physics-informed neural networks (PINNs) approximating Kolmogorov PDEs.
Tim De RyckSiddhartha MishraPublished in: Adv. Comput. Math. (2022)
Keyphrases
- error analysis
- neural network
- partial differential equations
- least squares
- cross ratio
- pattern recognition
- computer science
- artificial intelligence
- level set
- back propagation
- image processing
- multilayer perceptron
- error estimates
- artificial neural networks
- error correction
- multi layer
- genetic algorithm
- anisotropic diffusion
- feed forward
- fault diagnosis
- fuzzy logic
- recurrent neural networks
- neural network model
- high order
- numerical solution
- global exponential stability
- three dimensional