PDEBench
Benchmarks
TaskDatasetSOTA resultTrendResults
PDEBench Diff.Sorp (test)
0.002nRMSE
65
PDEBench Diff.Reac 1D (test)
0.001nRMSE
41
PDEBench SWE
0.001L2 Relative Error (L2RE)
28
PDEBench DR
0.006L2RE
28
PDEBench rdb (test)
11.3nRMSE
28
PDEBench rdb (test)
0.071nRMSE
28
PDEBench diff-sorp (test)
0.105nRMSE
28
PDEBench CNS (η=0.1, ζ=0.01)
0.003L2 Relative Error
25
PDEBench CNS (η=0.1, ζ=0.1)
0.008L2 Relative Error (L2RE)
25
PDEBench CNS (η=1, ζ=0.01)
0.491L2RE
25
PDEBench CNS (η=1, ζ=0.1)
0.004L2RE
25
PDEBench ADR 64 x 64 (evaluation regime nc=2, Pe=1, Da=0.1)
0.028Relative L2 Error
20
PDEBench RDB (test)
-0.9Regret Knee
16
PDEBench RDB full-oracle case-level
-0.9Regret Knee
16
PDEBench DiffReact (full-oracle case-level)
-0.8Regret Knee
16
PDEBench Public metadata-hidden protocol (test)
1.25nRMSE
15
PDEBench
0.72Latency (s)
14
PDEBench
1.97Latency (s)
14
PDEBench
0.99Latency (s)
14
PDEBench 2D Shallow Water Equations
0.001Relative L2 Error
11
PDEBench DIFF 2D (test)
0.007Test Error
10
PDEBench 2D Shallow Water Equations (SWE) (test)
0.002Prediction Error
10
PDEBench 1D Burgers
0.63Relative L2 Error
9
PDEBench 1D Advection
0.28Relative L2 Error
9
PDEBench Advection (test)
0.003nRMSE
9