Generalized Optimal Transport encodes identified marginals and independence as kernel moments, then uses duality and polynomial sieves to compute sharp bounds with a one-sided sqrt(n)-consistent estimator.
The conclusion then follows by e.g
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Generalized Optimal Transport
Generalized Optimal Transport encodes identified marginals and independence as kernel moments, then uses duality and polynomial sieves to compute sharp bounds with a one-sided sqrt(n)-consistent estimator.