Nearest points on toric varieties
Copyright policy )Nearest points on toric varieties
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.
- University of California, Berkeley United States
- University of California, Los Angeles United States
- University of California United States
- University of California United States
- University of Copenhagen Denmark
Computer Science - Symbolic Computation, FOS: Computer and information sciences, Mathematics - Algebraic Geometry, Optimization and Control (math.OC), FOS: Mathematics, Symbolic Computation (cs.SC), Mathematics - Optimization and Control, Algebraic Geometry (math.AG)
Computer Science - Symbolic Computation, FOS: Computer and information sciences, Mathematics - Algebraic Geometry, Optimization and Control (math.OC), FOS: Mathematics, Symbolic Computation (cs.SC), Mathematics - Optimization and Control, Algebraic Geometry (math.AG)
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