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ResearchFormerly WizWand

PDE Rollout on Allen-Cahn 3D (Accuracy and Timing)

4.1246Relative L2 Error (t=50)HAMNO
3.02810410.42945217.830825.232148Jun 10, 2026
Updated 4mo ago

Evaluation results

MethodLinks
HAMNONtrain=100, lambda=0.25, Tag=Hybrid2026.064.12464.1924133.882.0419
DeepONetNtrain=100, lambda=0.25, Tag=Hybrid2026.064.93295.3365117.051.7608
HAMNONtrain=50, lambda=1.0, Tag=Pure Phys.2026.065.48445.9834101.722.0976
HAMNONtrain=100, lambda=1.0, Tag=Pure Phys.2026.065.48445.983478.42.0248
F-FNONtrain=100, lambda=0.25, Tag=Hybrid2026.065.65846.4458135.823.0271
F-FNONtrain=50, lambda=1.0, Tag=Pure Phys.2026.066.39137.673469.631.7126
F-FNONtrain=100, lambda=1.0, Tag=Pure Phys.2026.066.39137.673478.941.651
F-FNONtrain=50, lambda=0.25, Tag=Hybrid2026.066.99238.38885.431.6574
DeepONetNtrain=50, lambda=1.0, Tag=Pure Phys.2026.067.34437.977484.822.3704
DeepONetNtrain=100, lambda=1.0, Tag=Pure Phys.2026.067.34437.977490.322.0546
DeepONetNtrain=50, lambda=0.25, Tag=Hybrid2026.067.74659.273775.541.7031
HAMNONtrain=50, lambda=0.25, Tag=Hybrid2026.068.89189.127879.362.0526
HAMNONtrain=100, lambda=0, Tag=Pure Data2026.069.06613.176103.392.0185
DeepONetNtrain=100, lambda=0, Tag=Pure Data2026.069.678913.94396.431.1376
F-FNONtrain=100, lambda=0, Tag=Pure Data2026.069.879215.67897.291.744
DeepONetNtrain=50, lambda=0, Tag=Pure Data2026.0612.37716.64752.161.1335
HAMNONtrain=50, lambda=0, Tag=Pure Data2026.0613.60424.39290.482.4845
F-FNONtrain=50, lambda=0, Tag=Pure Data2026.0615.22127.89152.861.6857
FNONtrain=100, lambda=0.25, Tag=Hybrid2026.0622.06223.19445.470.5179
FNONtrain=100, lambda=0, Tag=Pure Data2026.0622.46729.23333.340.5448
FNONtrain=50, lambda=0.25, Tag=Hybrid2026.0624.04129.03934.510.6532
FNONtrain=50, lambda=1.0, Tag=Pure Phys.2026.0624.29327.47827.850.4426
FNONtrain=100, lambda=1.0, Tag=Pure Phys.2026.0624.29327.47826.90.4521
FNONtrain=50, lambda=0, Tag=Pure Data2026.0631.53746.43520.060.4304