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Autoregressive Forecasting on Kuramoto-Sivashinsky (KS) equation (LPSDA protocol, test)

0.03NMSEPACE-FNO (AR)
0.02720.04610.0650.0839May 18, 2026

Evaluation results

MethodLinks
PACE-FNO (AR)Symmetry (Sym.)=windowed g1 + PACE g2–g3, Architecture=m=20, w=64, 4 layers, 20 frames, Number of training samples=5122026.050.03
PACE-FNO (AR)Symmetry (Sym.)=windowed g1 + structured g2–g3, Architecture=m=20, w=64, 4 layers, 1 frame, Number of training samples=5122026.050.08
FNO (AR)Symmetry (Sym.)=g1g2g3, Architecture=m=32, w=256, 5 layers, 20 frames, Number of training samples=5122026.050.09
FNO (AR)Symmetry (Sym.)=-, Architecture=m=32, w=256, 5 layers, 20 frames, Number of training samples=5122026.050.1