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Advection-Diffusion-Reaction on PDEBench ADR 64 x 64 (nc=2, Pe=1, Da=0.1)

0.028Relative L2 ErrorDeepONet
0.018840.080670.14250.20433Apr 1, 2026
Updated 7mo ago

Evaluation results

MethodLinks
DeepONetNumber of labeled samples (Nl)=250, Single-channel only=true2026.040.028
DeepONetNumber of labeled samples (Nl)=100, Single-channel only=true2026.040.036
DeepONetNumber of labeled samples (Nl)=50, Single-channel only=true2026.040.079
ScratchNumber of labeled samples (Nl)=2502026.040.082
DeepONetNumber of labeled samples (Nl)=25, Single-channel only=true2026.040.092
ScratchNumber of labeled samples (Nl)=502026.040.097
PI-JEPANumber of labeled samples (Nl)=1002026.040.097
ScratchNumber of labeled samples (Nl)=1002026.040.097
PI-JEPANumber of labeled samples (Nl)=2502026.040.097
PI-JEPANumber of labeled samples (Nl)=502026.040.098
PI-JEPANumber of labeled samples (Nl)=252026.040.101
ScratchNumber of labeled samples (Nl)=252026.040.102
DeepONetNumber of labeled samples (Nl)=10, Single-channel only=true2026.040.108
PI-JEPANumber of labeled samples (Nl)=102026.040.113
ScratchNumber of labeled samples (Nl)=102026.040.114
FNONumber of labeled samples (Nl)=2502026.040.139
FNONumber of labeled samples (Nl)=1002026.040.145
FNONumber of labeled samples (Nl)=502026.040.176
FNONumber of labeled samples (Nl)=252026.040.21
FNONumber of labeled samples (Nl)=102026.040.257