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Dynamics Modeling

Benchmarks

Dataset Name	SOTA Method	Metric
Barrett WAM (train)	SINDy	RMSE0.027	49	4mo ago
Cart-pole swing-up	Dynamics Model	Theta Error0	9	1mo ago
Mountain Car		Generalization Error (rho)0	9	1mo ago
2D Navier-Stokes v=1e-5 (test)	FNO	Relative L2 Error0.124	7	4mo ago
2D Navier-Stokes v=1e-4 (test)	AROMA	Relative L2 Error0.105	7	4mo ago
MassSpring Standard Benchmark (CS2)	PNODE	MAE0.0055	6	4mo ago
Bridge dataset (Experiment #2)	RISE	PSNR23.68	4	4mo ago
Real-world tasks Experiment #1	RISE	PSNR23.9	4	4mo ago
Double Pendulum (extrapolation)	Homotopy	MSE1,031,103.2	4	4mo ago
RigidBody Standard Benchmark (CS2)	PHRPINN	MAE0.0186	3	4mo ago
RobotArm Standard Benchmark (CS2)	PHRPINN	MAE0.0021	3	4mo ago
TwoBody CS2	PNODE	MAE0.222	3	4mo ago
LotkaVolterra CS2	PNODE	MAE0.0069	3	4mo ago
Double pendulum DP 1 (single densely observed trajectory)	DGM	Log Likelihood2.13	3	4mo ago
Lorenz LO 1 single densely observed trajectory	DGM	Log Likelihood-0.57	3	4mo ago
Lotka Volterra LV 1 (single densely observed trajectory)	DGM	Log Likelihood1.96	3	4mo ago
Bouncing Balls High Noise frictionless square box in 2D (test)	I-GPODE	MSE18.4	2	4mo ago
Bouncing Balls Low Noise frictionless square box in 2D (test)	I-GPODE	MSE17.8	2	4mo ago
Bouncing Balls No Noise frictionless square box in 2D (test)	I-GPODE	MSE17.3	2	4mo ago
Quadrocopter QU 1 single densely observed trajectory	DGM	Log Likelihood0.64	2	4mo ago
Lorenz System (extrapolation)	Baseline	MSE6,031.36	2	4mo ago
Lorenz System (interpolation)	Baseline	MSE2,596.05	1	4mo ago
Lotka-Volterra (extrapolation)	Baseline	MSE62,545,026	1	4mo ago
General Dynamics Modeling	-	-	0	2mo ago
Neuropixels (last half)	-	-	0	4mo ago

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