PDE Solving on PINNacle benchmark leaderboard · SOTA2 Research

PDE Solving on PINNacle

0.0129Error (1D Burgers, C)LAAF

Evaluation Results

Method	Links
LAAF2026.06		0.0129	0.494	0.635	0.204	0.469	0.866	0.101	0.0245	0.998	0.0213	0.0663	0.997	0.42	0.762	1.03	0.0948	0.998	0.0041	0.496	—
PINN + MAdam2026.06		0.0129	0.516	0.662	0.194	0.625	0.94	0.0283	0.0182	0.998	0.0415	0.0974	0.994	0.486	1	0.805	0.0932	0.971	0.0008	0.546	—
LAAF2026.06		0.0143	0.277	0.768	0.579	0.593	0.642	0.074	0.0239	0.999	0.036	0.0824	0.998	0.454	0.819	1.06	0.0947	1.01	0.0041	0.522	—
PINN2026.06		0.0145	0.324	0.694	0.56	0.63	1.01	0.0621	0.0364	0.999	0.047	0.119	0.996	0.588	1.84	1.34	0.319	1.01	0.003	0.361	—
GAAF2026.06		0.0201	0.508	0.606	0.23	0.979	1.06	0.126	0.46	1	0.0362	0.167	0.999	0.659	0.724	1.03	0.0945	1.01	0.0077	0.485	—
GAAF2026.06		0.052	0.295	0.604	0.502	0.931	0.849	0.985	0.461	0.999	0.0379	0.174	0.999	0.677	0.794	1.06	0.0946	1	0.0078	0.521	—