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This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company %%% CHAPTERS %%% 00:00 Intro 01:17 Background: Hamiltonian Dynamics // 03:51 Introduction to Mechanics and Symmetry Recommendation 04:46 NonChaotic vs Chaotic Hamiltonian Systems 06:03 Impact of Chaos on Naiive Integrators 09:01 Symplectic Integrators and HNNs // 09:43 HNNs 11:25 Hamilton's Equations and Loss 15:07 Neural ODE Refresher 16:25 HNN Performance // 17:39 Left to the Viewer/Homework 18:36 Outro
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