The expected minibatch OT plan converges to the true OT plan with quantifiable bias and convergence rates, yielding a regular velocity field for unique flows from source to discrete target in flow matching.
arXiv preprint arXiv:2101.01792 , year=
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Observational and counterfactual distributions are linked by identical support and invariant features, enabling a flow-matching estimator with semiparametric efficiency correction to generate debiased counterfactuals from observations.
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Expected Batch Optimal Transport Plans and Consequences for Flow Matching
The expected minibatch OT plan converges to the true OT plan with quantifiable bias and convergence rates, yielding a regular velocity field for unique flows from source to discrete target in flow matching.
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Debiased Counterfactual Generation via Flow Matching from Observations
Observational and counterfactual distributions are linked by identical support and invariant features, enabling a flow-matching estimator with semiparametric efficiency correction to generate debiased counterfactuals from observations.