@article{Helmer_Sturmfels_2018, title={Nearest points on toric varieties}, volume={122}, url={https://www.mscand.dk/article/view/101478}, DOI={10.7146/math.scand.a-101478}, abstractNote={<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>}, number={2}, journal={MATHEMATICA SCANDINAVICA}, author={Helmer, Martin and Sturmfels, Bernd}, year={2018}, month={Apr.}, pages={213–238} }