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Cross-Reynolds prediction on 2D Navier-Stokes out-of-distribution Re=10,000 (test)

61.08OOD AccuracyPersistence
33.665640.782847.955.0172May 28, 2026

Evaluation results

MethodLinks
PersistenceParams=0, Type=baseline, Representation=–, Training regime=Re≈1,000, Rollout steps=10-step autoregressive, N=5002026.0561.08—
FNO (3-seed)Params=466K, Type=learned predictor, Representation=global spectral, Training regime=Re≈1,000, Rollout steps=10-step autoregressive, N=5002026.0546.680.11
PCA relayParams=0, Type=retrieval, no learned dynamics, Representation=global linear (36-d), Training regime=Re≈1,000, Rollout steps=10-step autoregressive, N=5002026.0541.77—
kNN-copyParams=0, Type=retrieval, no learned dynamics, Representation=raw field (4,096-d), Training regime=Re≈1,000, Rollout steps=10-step autoregressive, N=5002026.0541.01—
ConvAE-Relay (3-seed)Params=1.6M, Type=retrieval, source-trained, Representation=learned local (64-d), Training regime=Re≈1,000, Rollout steps=10-step autoregressive, N=5002026.0538.340.07
U-Net (3-seed)Params=7.8M, Type=learned predictor, Representation=local multi-scale, Training regime=Re≈1,000, Rollout steps=10-step autoregressive, N=5002026.0534.720.6