Develops verifiable error bounds for PINN solutions of Lyapunov and HJB PDEs that turn residual bounds into relative error bounds, certified value function bounds, and valid Lyapunov functions.
Extreme learning machine: theory and applications.Neurocomputing, 70(1- 3):489–501
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Verifiable Error Bounds for Physics-Informed Neural Network Solutions of Lyapunov and Hamilton-Jacobi-Bellman Equations
Develops verifiable error bounds for PINN solutions of Lyapunov and HJB PDEs that turn residual bounds into relative error bounds, certified value function bounds, and valid Lyapunov functions.