Integration of Sequence Encoding for Online Parameter Identification with Physics-Informed Neural Networks allows for real-time applications with variable parameters, boundary conditions, and initial conditions.
Architecture employs Deep Sets or Sequence Encoders to encode dynamic parameters, boundary conditions, and initial conditions, enabling the model to adapt to changes in parameters, boundary conditions, and initial conditions.
Application of this approach to problems such as analyzing the Rossler ODE system, a 2D Navier-Stokes PDE problem with flow past a cylinder, and a 1D heat monitoring problem using real data.
Demonstration of the model's robustness against noise, ability to generalize, and capability to compute velocity and pressure throughout the domain based on physics-informed neural networks.