3 papers
cs.CG2026
On Voronoi diagrams in the Funk Conical Geometry
Aditya Acharya, Auguste Henry Gezalyan, David M. Mount +1
The forward and reverse Funk weak metrics are fundamental distance functions on convex bodies that serve as the building blocks for the Hilbert and Thompson metrics. In this paper…
cs.CG2026
Classifiers in High Dimensional Hilbert Metrics
Aditya Acharya, Auguste H. Gezalyan, David M. Mount
Classifying points in high dimensional spaces is a fundamental geometric problem in machine learning. In this paper, we address classifying points in the -dimensional Hilbert po…
cs.CG2025
Evolving Distributions Under Local Motion
Aditya Acharya, David M. Mount
Geometric data sets arising in modern applications are often very large and change dynamically over time. A popular framework for dealing with such data sets is the evolving data f…