AI·Jul 7, 2026, 4:00 AM

CSympNet-ID: conformal-symplectic map learning for linearly damped Hamiltonian systems

Source: arXiv cs.LG

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CSympNet-ID: conformal-symplectic map learning for linearly damped Hamiltonian systems

arXiv:2607.03339v1 Announce Type: new Abstract: Learning dissipative dynamics from discrete observations is essential for reliable long-horizon prediction and physically meaningful parameter identification. For linearly damped Hamiltonian systems, the exact flow is generally not symplectic but conformally symplectic, contracting the canonical symplectic form by a scalar factor that reflects the net dissipation. We propose Conformal Symplectic Networks with damping identification (CSympNet-ID), a discrete-time map-learning framework that learns the one-step flow map directly from snapshot pairs

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