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PDE System Rollout Forecasting on Rayleigh–Bénard

0.779VRMSE (Rollout 01:32)Wavelet Flow Matching
-3.2969624.2157751.728579.24123May 15, 2026

Evaluation results

MethodLinks
Wavelet Flow MatchingNumber of Scales=3, Wavelet Basis=db62026.050.7791.6660.815
Wavelet Flow MatchingNumber of Scales=3, Wavelet Basis=db42026.051.0121.9090.766
Wavelet Flow MatchingNumber of Scales=3, Wavelet Basis=db22026.051.031.6520.783
FMfourier2026.051.1060.8090.837
FMpixel2026.051.2771.8920.83
Wavelet Flow MatchingNumber of Scales=1, Wavelet Basis=db22026.051.3261.8930.797
Wavelet Flow MatchingNumber of Scales=1, Wavelet Basis=db62026.051.4631.9980.98
Wavelet Flow MatchingNumber of Scales=3, Wavelet Basis=haar2026.051.5842.3660.803
Wavelet Flow MatchingNumber of Scales=1, Wavelet Basis=db42026.051.7322.3620.8
Wavelet Flow MatchingNumber of Scales=1, Wavelet Basis=haar2026.051.7781.9850.811
FNO2026.053.3683.972—
WDNO2026.0519.3468.2251.395
WNO2026.0544.22624.4632.452
TFNO2026.05102.67831.8422.965