The Sinkhorn treatment effect is a new entropic optimal transport measure of divergence between counterfactual distributions that admits first- and second-order pathwise differentiability, debiased estimators, and asymptotically valid tests for distributional treatment effects.
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Asymptotic weak convergence holds for functionals of the empirical entropic optimal transport plan, supporting uniform confidence bands for colocalization curves via Hadamard differentiability and the delta method.
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Sinkhorn Treatment Effects: A Causal Optimal Transport Measure
The Sinkhorn treatment effect is a new entropic optimal transport measure of divergence between counterfactual distributions that admits first- and second-order pathwise differentiability, debiased estimators, and asymptotically valid tests for distributional treatment effects.
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Distributional Convergence of Empirical Entropic Optimal Transport and Statistical Applications
Asymptotic weak convergence holds for functionals of the empirical entropic optimal transport plan, supporting uniform confidence bands for colocalization curves via Hadamard differentiability and the delta method.