Derives inequalities between L1 density distances and mixing-measure discrepancies to obtain posterior contraction rates for Dirichlet process mixtures with unknown shared scale.
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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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Convergence Rates for Latent Mixing Measures in Infinite Homoscedastic Location-Scale Mixture Models
Derives inequalities between L1 density distances and mixing-measure discrepancies to obtain posterior contraction rates for Dirichlet process mixtures with unknown shared scale.
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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.