Tropical differential algebraic geometry restricts PINN hypothesis spaces to valid formal power series supports, improving convergence on Van der Pol and Burgers equations.
Sur les équations différentielles du second ordre et d'ordre supérieur dont l'intégrale générale est uniforme
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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.