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physics.comp-ph2024
From {\tt Ferminet} to PINN. Connections between neural network-based algorithms for high-dimensional Schrödinger Hamiltonian
Mashhood Khan, Emmanuel Lorin
In this note, we establish some connections between standard (data-driven) neural network-based solvers for PDE and eigenvalue problems developed on one side in the applied mathema…
math.NA2024★ 1 cited
Non-diffusive neural network method for hyperbolic conservation laws
Emmanuel Lorin, Arian Novruzi
In this paper we develop a non-diffusive neural network (NDNN) algorithm for accurately solving weak solutions to hyperbolic conservation laws. The principle is to construct these…