A Priori Estimation of the Approximation, Optimization and Generalization Error of Random Neural Networks for Solving Partial Differential Equations.
Xianliang XuZhongyi HuangPublished in: CoRR (2024)
Keyphrases
- generalization error
- neural network
- solving partial differential equations
- partial differential equations
- cross validation
- learning algorithm
- active learning
- model selection
- training data
- training set
- upper bound
- sample complexity
- unbiased estimator
- training error
- supervised learning
- sample size
- artificial neural networks
- pattern recognition
- curve evolution
- subspace information criterion
- level set
- dynamical systems
- global optimization
- recurrent neural networks
- neural nets