Data Assimilation

Benchmarks

Dataset Name	SOTA Method	Metric
SQG	SDA (filtering)	CRPS1.13	24	1mo ago
20-dimensional Lorenz–96 system S = 10 independent simulations		Average ERMSE0.747	18	25d ago
ERA5 2022-01-03 06 UTC snapshot v1 (test)	FlowDA-Full	T2M (Temp 2m)0.54	16	1mo ago
Example 2 Advection-diffusion-reaction system	LAE-EnKF	Relative Error (ERel,1:T)7.17	12	1mo ago
Lorenz-96 Delta t = 0.2	LAE-EnKF	Relative RMSE0.1531	11	1mo ago
Lorenz-96 Delta t = 0.1	LAE-EnKF	Relative RMSE0.1429	11	1mo ago
100-dimensional nonlinear toy dynamical system (test)	LAE-EnKF	Relative Error (1:T)1.4244	10	1mo ago
SEVIR		SSR1.35	6	1mo ago
SQG Saturating		SSR0.96	6	1mo ago
SQG Multimodal	EnSF	SSR0.42	6	1mo ago
SQG Sparse	EnSF	SSR0.57	6	1mo ago
SQG Saturating	EnSF	RMSE2.67	6	1mo ago
SQG Multimodal		RMSE3.62	6	1mo ago
SQG Sparse	SDA	RMSE2.88	6	1mo ago
SQG Noisy	SDA	RMSE2.11	6	1mo ago
SEVIR	SDA (smoothing)	CRPS0.013	6	1mo ago
ERA5 0.25° resolution	Fourier Neural Processes	MSE0.0058	5	1mo ago
ERA5 0.703125° resolution	Fourier Neural Processes	MSE0.0085	5	1mo ago
Atmospheric Modeling	LD-EnSF	Td (s)0.07	4	1mo ago
Stokes	P-PINN	MAE0.6	4	1mo ago
Wave	P-PINN	MAE0.038	4	1mo ago
Heat	P-PINN	MAE0.0428	4	1mo ago
Poisson	P-PINN	MAE0.473	4	1mo ago
Stokes	D-PINN	fMSE-M216	4	1mo ago
Wave	D-PINN	fMSE-M0.212	4	1mo ago

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