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20232026
most citedCovariate balancing using the integral probability metric for causal inference

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math.ST2026

Sharp Inequalities between Total Variation and Hellinger Distances for Gaussian Mixtures

Joonhyuk Jung, Chao Gao

We study the relation between the total variation (TV) and Hellinger distances between two Gaussian location mixtures. Our first result establishes a general upper bound: for any t…