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Title:

Families of Polytopes with Rational Linear Precision in Higher Dimensions

Document type:
Zeitschriftenaufsatz
Author(s):
Davies, Isobel; Duarte, Eliana; Portakal, Irem; Sorea, Miruna-Ştefana
Abstract:
In this article, we introduce a new family of lattice polytopes with rational linear precision. For this purpose, we define a new class of discrete statistical models that we call multinomial staged tree models. We prove that these models have rational maximum likelihood estimators (MLE) and give a criterion for these models to be log-linear. Our main result is then obtained by applying Garcia-Puente and Sottile’s theorem that establishes a correspondence between polytopes with rational linear p...     »
Keywords:
Lattice polytope; Horn parametrization; Rational linear precision; Primitive collection; Log-linear model; Maximum likelihood estimator; Toric variety; Staged tree
Dewey Decimal Classification:
510 Mathematik
Journal title:
Foundations of Computational Mathematics
Year:
2022
Year / month:
2022-08
Quarter:
3. Quartal
Month:
Aug
Fulltext / DOI:
doi:10.1007/s10208-022-09583-7
Publisher:
Springer Science and Business Media LLC
E-ISSN:
1615-33751615-3383
Date of publication:
08.08.2022
Semester:
SS 22
TUM Institution:
Lehrstuhl für Mathematische Statistik
Format:
Text
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