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Discovery of New Physics with Voronoi Tessellations
January 21, 20162:00 pm – 3:00 pm (CDT)

Discovery of New Physics with Voronoi Tessellations


Doojin Kim (University of Florida)



Mitchell Institute for Fundamental Physics & Astronomy

College Station, Texas 77843

Event Details

High energy experimental data can be viewed as a sampling of the relevant phase space. We point out that one can apply Voronoi tessellations in order to understand the underlying probability distributions governing the relevant phenomena. Characteristic features embedded in the data can then be discovered by studying the properties of Voronoi cells. We particularly focus on detecting kinematic “edges”, taking the examples of two- and three-dimensional data for concreteness. To this end, we propose algorithms motivated by some analytic results derived for perfect lattices, and show that the relevant methods can be further improved with the addition of a few Voronoi relaxation steps via Lloyd’s method.

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