Double Pendulum

Benchmarks

TaskDatasetSOTA resultTrendResults

Causal Discovery

Double Pendulum Simulated (5 folds)

0.915Correlation Coefficient

Rollout prediction

Double Pendulum

1.13Rollout MSE

Q-only open-loop forecasting

Double Pendulum 2-DOF, Damped H=100 (test)

0.32MSE

Q-only open-loop forecasting

Double Pendulum (2-DOF, Conservative) H=100 (test)

0.402MSE

Numerical Simulation

Double pendulum 100,000 s

924Total Simulation Time (s)

Hamiltonian Dynamics Modeling

Double pendulum

0.004Relative L2 Error

Multibody Dynamics Modeling

Double Pendulum

88.04Time Cost (s)

Physics Simulation

Double Pendulum

0.14MSE

Dynamics Modeling

Double Pendulum (extrapolation)

1,031,103.2MSE

Dynamics Modeling

Double pendulum DP 1 (single densely observed trajectory)

2.13Log Likelihood

State Variable Discovery

Double pendulum

1.84Smoothness

Intrinsic dimension estimation

Double pendulum

4.02Intrinsic Dimension

Predictive accuracy and symmetry recovery

Double Pendulum 6D (test)

0.003MSE

Hamiltonian Dynamics Modeling

Double pendulum +c

26.08Rec MSE ($10^{-7}$)

Trajectory Prediction

Double Pendulum DP 100 (test)

—Primary metric

Dynamics Modeling

Double Pendulum (interpolation)

—Primary metric