37 citations · 108 across the 15 of their papers we have counts for
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stat.ML2023★ 2 cited
Fermat Distances: Metric Approximation, Spectral Convergence, and Clustering Algorithms
Nicolás García Trillos, Anna Little, Daniel McKenzie +1
We analyze the convergence properties of Fermat distances, a family of density-driven metrics defined on Riemannian manifolds with an associated probability measure. Fermat distanc…
stat.ML2023
On Rank Energy Statistics via Optimal Transport: Continuity, Convergence, and Change Point Detection
Matthew Werenski, Shoaib Bin Masud, James M. Murphy +1
This paper considers the use of recently proposed optimal transport-based multivariate test statistics, namely rank energy and its variant the soft rank energy derived from entropi…