HIN-LRI augments a low-regularity integrator with a latent-manifold neural correction trained end-to-end on trajectory error to improve accuracy on nonlinear dispersive equations with rough data.
Alexander Ostermann, Fr´ ed´ eric Rousset, and Katharina Schratz
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Hybrid Iterative Neural Low-Regularity Integrator for Nonlinear Dispersive Equations
HIN-LRI augments a low-regularity integrator with a latent-manifold neural correction trained end-to-end on trajectory error to improve accuracy on nonlinear dispersive equations with rough data.