Learning Physical Systems: Symplectification via Gauge Fixing in Dirac Structures
This paper introduces Presymplectification Networks (PSNs), a novel framework that restores non-degenerate symplectic geometry for constrained and dissipative mechanical systems by learning a symplectification lift via Dirac structures, thereby enabling accurate, structure-preserving long-term prediction of complex multibody dynamics like those of the ANYmal quadruped robot.