Generic bounds on the approximation error for physics-informed (and)
operator learningNeural Information Processing Systems (NeurIPS), 2022 |
Strong overall error analysis for the training of artificial neural
networks via random initializationsCommunications in Mathematics and Statistics (Commun. Math. Stat.), 2020 |
Overall error analysis for the training of deep neural networks via
stochastic gradient descent with random initialisationApplied Mathematics and Computation (Appl. Math. Comput.), 2020 |
Uniform error estimates for artificial neural network approximations for
heat equationsIMA Journal of Numerical Analysis (IMA J. Numer. Anal.), 2019 |
Full error analysis for the training of deep neural networksInfinite Dimensional Analysis Quantum Probability and Related Topics (IDAQP), 2019 |