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ResearchFormerly WizWand

Learning PDE Solution Operators on Allen-Cahn 1D

0.05Mean L2 Relative ErrorSFO
-2.705215.892434.4953.0876Dec 17, 2025Dec 23, 2025Dec 29, 2025Jan 4, 2026Jan 10, 2026Jan 16, 2026Jan 23, 2026
Updated 8mo ago

Evaluation results

MethodLinks
SFOCategory=Ours2026.010.05
SVD-NOCategory=SVD Kernel2026.010.07
FNOCategory=Fourier2026.010.08
PINOCategory=PINN, Fourier2026.010.08
UNOCategory=Fourier2026.010.3
MPNNCategory=Graph (Local)2026.010.33
PIP2 NetArchitectures=seven-layer fully connected, Hidden units=100, Activation=tanh2025.121.481
PI-DeepONetArchitectures=seven-layer fully connected, Hidden units=100, Activation=tanh2025.122.541
POU-DeepONetArchitectures=seven-layer fully connected, Hidden units=100, Activation=tanh2025.127.751
DeepONetArchitectures=seven-layer fully connected, Hidden units=100, Activation=tanh2025.128.101
DeepONetCategory=DeepONet2026.0116.53
UNetCategory=Neural surrogate2026.0168.93