Adapted optimal transport convergence restores weak continuity for conditional dependence measures and delivers O(N^{-1/3}) rates for adapted empirical and rank-based copula estimators.
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Dependence Measures via Adapted Optimal Transport: Stability and Rates of Convergence
Adapted optimal transport convergence restores weak continuity for conditional dependence measures and delivers O(N^{-1/3}) rates for adapted empirical and rank-based copula estimators.