Symplectic Manifold Geometry and Hamiltonian Score Dynamics in Multi-Modal Video Generation
1. Beyond Dissipative Diffusion: The Geometric Imperative for Hamiltonian Systems First-generation continuous diffusion models approached video synthesis through the mathematical lens of dissipative Fokker-Planck equations and overdamped Langevin dynamics. While mathematically tractable for static image frames, unconstrained dissipative flows introduce severe gradient damping, mode collapse,...
0 Комментарии 0 Поделились 54 Просмотры 0 предпросмотр