Euclidean Distance Degrees in Macaulay2
Algebraic Geometry
2026-07-14 v1 Optimization and Control
Abstract
We introduce EuclideanDistanceDegree, a Macaulay2 package that implements symbolic and numerical methods for computing Euclidean Distance (ED) degrees. The package includes symbolic methods based on minors and conormal varieties as well as numerical methods for unit and generic ED degrees using tools from numerical algebraic geometry. We illustrate the package functionality with a range of examples in the paper and in the accompanying GitHub repository.
Cite
@article{arxiv.2607.13277,
title = {Euclidean Distance Degrees in Macaulay2},
author = {William Huang and Jose Israel Rodriguez},
journal= {arXiv preprint arXiv:2607.13277},
year = {2026}
}
Comments
to appear in Lecture Notes in Computer Science