Tropical differential algebraic geometry restricts PINN hypothesis spaces to valid formal power series supports, improving convergence on Van der Pol and Burgers equations.
Global branching of solutions to ordinary differential equations and integrability
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Tropical Geometry as a Restricted Architecture for Physics-Informed Neural Networks: Applications in Nonlinear Fluid-Structure Examples
Tropical differential algebraic geometry restricts PINN hypothesis spaces to valid formal power series supports, improving convergence on Van der Pol and Burgers equations.