374 citations · 479 across the 8 of their papers we have counts for
3 papers · 1 filter
Tropical Fermat-Weber Polytropes
John Sabol, David Barnhill, Ruriko Yoshida +1
We study the geometry of tropical Fermat--Weber points, that is, optimal solutions to a location problem over a projective space using a dissimilarity measure derived from the trop…
Maximum Inscribed and Minimum Enclosing Tropical Balls of Tropical Polytopes and Applications to Volume Estimation and Uniform Sampling
David Barnhill, Ruriko Yoshida, Keiji Miura
We consider a minimum enclosing and maximum inscribed tropical balls for any given tropical polytope over the tropical projective torus in terms of the tropical metric with the max…
Hit and Run Sampling from Tropically Convex Sets
Ruriko Yoshida, Keiji Miura, David Barnhill
In this paper we propose Hit and Run (HAR) sampling from a tropically convex set. The key ingredient of HAR sampling from a tropically convex set is sampling uniformly from a tropi…