Shypd.aiThe largest open index of AI toolslagrangian_nns is an open-source Research & Education tool that implements Lagrangian Neural Networks. It provides a core equation of motion for deriving dynamics from learned Lagrangians, compatible with JAX.
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lagrangian_nns is an open-source project providing implementations of Lagrangian Neural Networks (LNNs). Unlike Hamiltonian Neural Networks, LNNs can parameterize arbitrary Lagrangians using neural networks and do not require canonical coordinates, making them suitable for systems where generalized momentum is difficult to compute, such as the double pendulum. The project includes a core equation of motion for automatic derivation of dynamics from learned Lagrangians, which is compatible with any JAX version. It also offers self-contained tutorials and example notebooks for various applications, including special relativity and the wave equation. The tool was developed with JAX 0.1.55 (2020) and uses pixi for reproducible environment management, ensuring compatibility with the original paper's environment.
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