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

Harvard

Helmer, M & Sturmfels, B 2018, 'Nearest points on toric varieties', Mathematica Scandinavica, bind 122, nr. 2, s. 213-238. https://doi.org/10.7146/math.scand.a-101478

APA

Helmer, M., & Sturmfels, B. (2018). Nearest points on toric varieties. Mathematica Scandinavica, 122(2), 213-238. https://doi.org/10.7146/math.scand.a-101478

Vancouver

Helmer M, Sturmfels B. Nearest points on toric varieties. Mathematica Scandinavica. 2018 jan. 1;122(2):213-238. https://doi.org/10.7146/math.scand.a-101478

Author

Helmer, Martin ; Sturmfels, Bernd. / Nearest points on toric varieties. I: Mathematica Scandinavica. 2018 ; Bind 122, Nr. 2. s. 213-238.

Bibtex

@article{47a49931ab5f40ea98ac30cccba3c7be,
title = "Nearest points on toric varieties",
abstract = "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.",
author = "Martin Helmer and Bernd Sturmfels",
year = "2018",
month = jan,
day = "1",
doi = "10.7146/math.scand.a-101478",
language = "English",
volume = "122",
pages = "213--238",
journal = "Mathematica Scandinavica",
issn = "0025-5521",
publisher = "Aarhus Universitet * Mathematica Scandinavica",
number = "2",

}

RIS

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