A stopgrad regression principle characterizes stationary points of stopgrad objectives and proves convergence to true flow maps while halving training memory.
RWEFM generatively models meta-distributions on manifolds via Riemannian Wasserstein flow matching, yielding valid flows and efficient GPU-optimal transport approximations for non-Euclidean data.
Under structured cross-modal nuisance correlation, cross-modal alignment and prediction have complementary failure modes partitioned by separation ratios into four regimes, with a data-driven procedure identifying preferred objectives and when neither beats single-modality baselines.