Moment polytopes of toric exponential families

Fuente: arXiv
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Main Author: Molitor, Mathieu
Format: Preprint
Published: 2025
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author Molitor, Mathieu
author_facet Molitor, Mathieu
contents We show that the moment polytope of a Kähler toric manifold, constructed as the torification (in the sense of M. Molitor, Kähler toric manifolds from dually flat spaces, arXiv:2109.04839, 2021) of an exponential family defined on a finite sample space, is the projection of a higher-dimensional simplex.
format Preprint
id arxiv_https___arxiv_org_abs_2503_24056
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Moment polytopes of toric exponential families
Molitor, Mathieu
Differential Geometry
We show that the moment polytope of a Kähler toric manifold, constructed as the torification (in the sense of M. Molitor, Kähler toric manifolds from dually flat spaces, arXiv:2109.04839, 2021) of an exponential family defined on a finite sample space, is the projection of a higher-dimensional simplex.
title Moment polytopes of toric exponential families
topic Differential Geometry
url https://arxiv.org/abs/2503.24056