Nearest Points on Toric Varieties
Algebraic Geometry
2018-07-23 v4 Symbolic Computation
Optimization and Control
Abstract
We determine the Euclidean distance degree of a projective toric variety. This extends the formula of Matsui and Takeuchi for the degree of the -discriminant in terms of Euler obstructions. Our primary goal is the development of reliable algorithmic tools for computing the points on a real toric variety that are closest to a given data point.
Cite
@article{arxiv.1603.06544,
title = {Nearest Points on Toric Varieties},
author = {Martin Helmer and Bernd Sturmfels},
journal= {arXiv preprint arXiv:1603.06544},
year = {2018}
}
Comments
20 pages