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Paper · arXiv

CaLiSym: Learning Symplectic Dynamics of Real-World Systems through Structured Canonical Lifts

Physics-informed learning promises data-efficient and stable dynamics prediction, yet its strongest geometric guarantees have largely remained confined to closed conservative systems. This excludes robotic systems of interest, where actuation, dissipation, and constraints exchange energy and momentum with the environment. We introduce CaLiSym, a lightweight framework that extends symplectic learning to such systems by changing where the geometric prior is imposed. Rather than enforcing symplecticity on the measured state, CaLiSym embeds the state and its ports into a lifted phase space, where the dynamics evolve through a symplectic map. The lift is explicit and algebraic, requiring neith...

AuthorsAristotelis Papatheodorou, Pranav Vaidhyanathan, Natalia Ares et al.
Primary categorycs.RO
Published7 July 2026
Last updated at source15 July 2026
cs.ROcs.LG
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