Simplifying Hamiltonian and Lagrangian Neural Networks via Explicit Constraints
@article{Finzi2020SimplifyingHA, title={Simplifying Hamiltonian and Lagrangian Neural Networks via Explicit Constraints}, author={Marc Finzi and K. Wang and A. Wilson}, journal={ArXiv}, year={2020}, volume={abs/2010.13581} }
Reasoning about the physical world requires models that are endowed with the right inductive biases to learn the underlying dynamics. Recent works improve generalization for predicting trajectories by learning the Hamiltonian or Lagrangian of a system rather than the differential equations directly. While these methods encode the constraints of the systems using generalized coordinates, we show that embedding the system into Cartesian coordinates and enforcing the constraints explicitly with… CONTINUE READING
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References
SHOWING 1-10 OF 24 REFERENCES
Symplectic ODE-Net: Learning Hamiltonian Dynamics with Control
- Computer Science, Engineering
- ICLR
- 2020
- 43
- Highly Influential
- PDF
Deep Lagrangian Networks: Using Physics as Model Prior for Deep Learning
- Computer Science, Mathematics
- ICLR
- 2019
- 75
- Highly Influential
- PDF
Dissipative SymODEN: Encoding Hamiltonian Dynamics with Dissipation and Control into Deep Learning
- Computer Science, Engineering
- ArXiv
- 2020
- 8
- PDF