Research map / Probabilistic and scientific modeling / Dynamical systems
Symplectic Recurrent Neural Networks
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| add recurrent multi-step training to L-L H-NET (ablation) | H-NET · Spring-chain noisy | position L2 error mean: 3.36 -> 2.37 | Helped |
| add recurrent multi-step training to E-E H-NET (ablation) | H-NET · Spring-chain noisy | position L2 error mean: 7.24 -> 7.58 | Hurt |
| use leapfrog for both training and testing instead of Euler (ablation) | recurrent H-NET · Spring-chain noisy | position L2 error mean: 7.58 -> 2.37 | Helped |
| add initial state optimization (ablation) | SRNN · Spring-chain noisy | position L2 error mean: 2.37 -> 1.45 | Helped |
| add recurrent multi-step training to L-L H-NET (ablation) | H-NET · Three-body | prediction error mean: 0.35 -> 0.26 | Helped |
| use leapfrog for both training and testing instead of Euler (ablation) | recurrent H-NET · Three-body | prediction error mean: 0.79 -> 0.26 | Helped |
| learn the dynamics from data rather than simulate the true equations at the same step size | SRNN · Three-body | prediction error mean: 0.47 -> 0.26 | Helped |
| train and test with the same integrator and time-step (ablation) | Hamiltonian neural networks · Spring-chain noisy | position L2 error mean: 5.26 -> 2.37 | Mixed |
Closest papers by meaning
- Sparse Symplectically Integrated Neural Networks (NeurIPS 2020 · similarity 0.90)
- Hyperverlet: A Symplectic Hypersolver for Hamiltonian Systems (AAAI 2022 · similarity 0.89)
- Stiffness-aware neural network for learning Hamiltonian systems (ICLR 2022 · similarity 0.88)
- Mechanistic Interpretability of RNNs emulating Hidden Markov Models (NeurIPS 2025 · similarity 0.85)
- Learning long range dependencies through time reversal symmetry breaking (NeurIPS 2025 · similarity 0.85)
- Rethinking Human Motion Prediction with Symplectic Integral (CVPR 2024 · similarity 0.85)
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