Semigroup Consistency as a Diagnostic for Learned Physics Simulators

In three linesNew diagnostic metric for learned physics simulators: semigroup error measures temporal consistency by comparing direct evolution over s+t with composed evolution (s then t). Tested on heat and Burgers dynamics with ConvNet and FNO baselines, Spearman correlation ρ=0.635 with rollout degradation. Useful as post-hoc evaluation rather than universal training objective.

Summary generated by Claude — human-verified