
Optimal Transport Neural Flow Matching (OT-NFM) uses neural flows to parameterize transport maps, achieving true one-step generation with a single forward pass instead of tens to hundreds of evaluations
Researchers identified and solved the mean collapse problem in naive flow-map training by proving that consistent optimal transport couplings are necessary for non-degenerate learning
Scalable minibatch and online coupling strategies enable practical implementation of optimal transport pairings for training
Experiments on MNIST and CIFAR-10 datasets show competitive sample quality while dramatically reducing inference cost to a single network evaluation
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