Barycentric merge trees summarize Fréchet means and modes of distributions on metric spaces, and they are provably stable and consistently estimable under Wasserstein perturbations.
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Robust Representation and Estimation of Barycenters and Modes of Probability Measures on Metric Spaces
Barycentric merge trees summarize Fréchet means and modes of distributions on metric spaces, and they are provably stable and consistently estimable under Wasserstein perturbations.