Derives closed-form optimal coefficient for conditional velocity as control variate in MeanFlow loss, unifying remedies and revealing mismatch between gradient-MSE and FID optima.
Improving and generalizing flow-based generative models with minibatch optimal transport
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A general framework reduces flow matching on symmetric spaces to flow matching on a Lie algebra subspace, linearizing geodesics.
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On Variance Reduction in Learning Mean Flows
Derives closed-form optimal coefficient for conditional velocity as control variate in MeanFlow loss, unifying remedies and revealing mismatch between gradient-MSE and FID optima.
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Flow Matching on Symmetric Spaces
A general framework reduces flow matching on symmetric spaces to flow matching on a Lie algebra subspace, linearizing geodesics.