Nearest Points on Toric Varieties

  title={Nearest Points on Toric Varieties},
  author={Martin Helmer and Bernd Sturmfels},
  • Martin Helmer, Bernd Sturmfels
  • Published 2016
  • Mathematics, Computer Science
  • ArXiv
  • 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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