374 citations · 479 across the 8 of their papers we have counts for
8 papers
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…
Tropical Geometric Tools for Machine Learning: the TML package
David Barnhill, Ruriko Yoshida, Georgios Aliatimis +1
In the last decade, developments in tropical geometry have provided a number of uses directly applicable to problems in statistical learning. The TML package is the first R package…
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…
Tropical Density Estimation of Phylogenetic Trees
Ruriko Yoshida, David Barnhill, Keiji Miura +1
Much evidence from biological theory and empirical data indicates that, gene tree, phylogenetic trees reconstructed from different genes (loci), do not have to have exactly the sam…
Connecting Tables with Allowing Negative Cell Counts
Ruriko Yoshida, David Barnhill
It is well-known that computing a Markov basis for a discrete loglinear model is very hard in general. Thus, we focus on connecting tables in a fiber via a subset of a Markov basis…
Calibration of the Surface Array of the Pierre Auger Observatory
X. Bertou, P. S. Allison, C. Bonifazi +23
The Pierre Auger Observatory is designed to study cosmic rays of the highest energies ( eV). The ground array of the Observatory will consist of 1600 water Cherenkov dete…
Correlation of the highest-energy cosmic rays with the positions of nearby active galactic nuclei
The Pierre Auger Collaboration
Data collected by the Pierre Auger Observatory provide evidence for anisotropy in the arrival directions of the cosmic rays with the highest energies, which are correlated with the…