6 citations · 10 across the 7 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 Decision Boundaries for Neural Networks Are Robust Against Adversarial Attacks
Kurt Pasque, Christopher Teska, Ruriko Yoshida +2
We introduce a simple, easy to implement, and computationally efficient tropical convolutional neural network architecture that is robust against adversarial attacks. We exploit th…
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…
Tropical neural networks and its applications to classifying phylogenetic trees
Ruriko Yoshida, Georgios Aliatimis, Keiji Miura
Deep neural networks show great success when input vectors are in an Euclidean space. However, those classical neural networks show a poor performance when inputs are phylogenetic…
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…