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Symplectic Recurrent Neural Networks

ICLR 2020 · Probabilistic and scientific modeling › Dynamical systems · approach: Switching and law-discovery dynamics · 103 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add recurrent multi-step training to L-L H-NET (ablation)H-NET · Spring-chain noisyposition L2 error mean: 3.36 -> 2.37Helped
add recurrent multi-step training to E-E H-NET (ablation)H-NET · Spring-chain noisyposition L2 error mean: 7.24 -> 7.58Hurt
use leapfrog for both training and testing instead of Euler (ablation)recurrent H-NET · Spring-chain noisyposition L2 error mean: 7.58 -> 2.37Helped
add initial state optimization (ablation)SRNN · Spring-chain noisyposition L2 error mean: 2.37 -> 1.45Helped
add recurrent multi-step training to L-L H-NET (ablation)H-NET · Three-bodyprediction error mean: 0.35 -> 0.26Helped
use leapfrog for both training and testing instead of Euler (ablation)recurrent H-NET · Three-bodyprediction error mean: 0.79 -> 0.26Helped
learn the dynamics from data rather than simulate the true equations at the same step sizeSRNN · Three-bodyprediction error mean: 0.47 -> 0.26Helped
train and test with the same integrator and time-step (ablation)Hamiltonian neural networks · Spring-chain noisyposition L2 error mean: 5.26 -> 2.37Mixed

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