About optimal loss function for training physics-informed neural networks under respecting causality.
Vasiliy A. Es'kinDanil V. DavydovEkaterina D. EgorovaAlexey O. MalkhanovMikhail A. AkhukovMikhail E. SmorkalovPublished in: CoRR (2023)
Keyphrases
- loss function
- neural network
- stochastic gradient descent
- training process
- solution path
- pairwise
- support vector
- training algorithm
- logistic regression
- empirical risk
- learning to rank
- reproducing kernel hilbert space
- risk minimization
- worst case
- training set
- back propagation
- artificial neural networks
- convex loss functions
- regularization term
- training data
- boosting algorithms
- euclidean space
- hinge loss
- training examples
- special case