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Spatio-temporal forecasting on Diffusion-Reaction (test)

0.2509NRMSEMFFM (cascade)
0.1323360.9326431.732952.533257May 15, 2026

Evaluation results

MethodLinks
MFFM (cascade)Input=LF solution2026.050.2509———
FNO (direct)Input=xi2026.050.5557———
FNO (residual)Input=LF solution2026.050.791———
DeepONet (direct)Input=xi2026.050.9655———
F-FNOInput=LF solution2026.051.102———
DeepONet (residual)Input=LF solution2026.051.8302———
PDE-RefinerInput=LF solution2026.052.378———
Bilinear2026.053.17———
CNOInput=LF solution2026.053.215———
CAEmissing ratio=0.5, space=full physics space2026.03—3.6698.8748.78
ConvLSTMmissing ratio=0.5, space=full physics space2026.03—6.899.2847.36
ConvRAEmissing ratio=0.5, space=full physics space2026.03—8.4898.7544.41
P-STMAEmissing ratio=0.5, space=full physics space2026.03—5.9998.744.2