TY - JOUR AU - Helmer, Martin AU - Sturmfels, Bernd PY - 2018/04/08 Y2 - 2024/03/28 TI - Nearest points on toric varieties JF - MATHEMATICA SCANDINAVICA JA - Math. Scand. VL - 122 IS - 2 SE - Articles DO - 10.7146/math.scand.a-101478 UR - https://www.mscand.dk/article/view/101478 SP - 213-238 AB - <p>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.</p> ER -