Nearest points on toric varieties
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Nearest points on toric varieties. / Helmer, Martin; Sturmfels, Bernd.
I: Mathematica Scandinavica, Bind 122, Nr. 2, 01.01.2018, s. 213-238.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Nearest points on toric varieties
AU - Helmer, Martin
AU - Sturmfels, Bernd
PY - 2018/1/1
Y1 - 2018/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85046644168&partnerID=8YFLogxK
U2 - 10.7146/math.scand.a-101478
DO - 10.7146/math.scand.a-101478
M3 - Journal article
AN - SCOPUS:85046644168
VL - 122
SP - 213
EP - 238
JO - Mathematica Scandinavica
JF - Mathematica Scandinavica
SN - 0025-5521
IS - 2
ER -
ID: 199804540