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20172023
most citedFermat Distances: Metric Approximation, Spectral Convergence, and Clustering Algorithms

2 citations · 5 across the 7 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…