English

Moment polytopes of toric exponential families

Differential Geometry 2025-04-01 v1

Abstract

We show that the moment polytope of a K\"ahler toric manifold, constructed as the torification (in the sense of M. Molitor, K\"ahler 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.

Keywords

Cite

@article{arxiv.2503.24056,
  title  = {Moment polytopes of toric exponential families},
  author = {Mathieu Molitor},
  journal= {arXiv preprint arXiv:2503.24056},
  year   = {2025}
}