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Operator Learning for 3D Allen-Cahn Equation (alpha=60, tau=260, OOD)

1.0473Relative L2 Error at t=50DeepONet
0.717922.9412355.164557.387865Jun 10, 2026

Evaluation results

MethodLinks
DeepONet# Samples=100, Sec./Sample=3.03922026.061.04731.52759.8308
FNO# Samples=100, Sec./Sample=0.47122026.062.13422.72542.0521
U-NO# Samples=100, Sec./Sample=1.22512026.062.36932.81652.1744
U-FNO# Samples=100, Sec./Sample=1.11882026.062.45493.02892.3
U-Net# Samples=100, Sec./Sample=0.41062026.062.53673.01822.3132
PI-HAMNO# Samples=100, Sec./Sample=1.32022026.063.38563.33264.02
HAMNO# Samples=100, Sec./Sample=1.35542026.069.0571.27718.9824
FFNO# Samples=100, Sec./Sample=1.06462026.069.28181.36058.7555