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arXiv · 1603.06544

Nearest Points on Toric Varieties

Martin Helmer·Bernd Sturmfels
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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 $A$-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.

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Martin Helmer, Bernd Sturmfels. 2016-03-21. Nearest Points on Toric Varieties. https://doi.org/10.7146/math.scand.a-101478

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