Strain in the velocity Jacobian exponentially amplifies integration errors in flow matching while vorticity contributes linearly; strain-weighted Jacobian regularization reduces error up to 2.7x at NFE=5 and improves CIFAR-10 FID by 14% at NFE=10.
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On the Role of Strain and Vorticity in Numerical Integration Error for Flow Matching
Strain in the velocity Jacobian exponentially amplifies integration errors in flow matching while vorticity contributes linearly; strain-weighted Jacobian regularization reduces error up to 2.7x at NFE=5 and improves CIFAR-10 FID by 14% at NFE=10.