Several functions originating from Fisher–Rao geometry of Dirichlet distributions and involving polygamma functions
F Qi, RP Agarwal - Mathematics, 2023 - mdpi.com
In this paper, the authors review and survey some results published since 2020 about
(complete) monotonicity, inequalities, and their necessary and sufficient conditions for …
(complete) monotonicity, inequalities, and their necessary and sufficient conditions for …
On closed-form expressions for the Fisher–Rao distance
Abstract The Fisher–Rao distance is the geodesic distance between probability distributions
in a statistical manifold equipped with the Fisher metric, which is a natural choice of …
in a statistical manifold equipped with the Fisher metric, which is a natural choice of …
[PDF][PDF] Approximation and bounding techniques for the Fisher-Rao distances between parametric statistical models
F Nielsen - 2024 - researchgate.net
Abstract The Fisher-Rao distance between two probability distributions of a finite-
dimensional parametric statistical model is defined as the Riemannian geodesic distance …
dimensional parametric statistical model is defined as the Riemannian geodesic distance …
Approximation and bounding techniques for the Fisher-Rao distances
F Nielsen - arXiv preprint arXiv:2403.10089, 2024 - arxiv.org
The Fisher-Rao distance between two probability distributions of a statistical model is
defined as the Riemannian geodesic distance induced by the Fisher information metric. In …
defined as the Riemannian geodesic distance induced by the Fisher information metric. In …
pyBregMan: A Python library for Bregman Manifolds
A Bregman manifold is a synonym for a dually flat space in information geometry which
admits as a canonical divergence a Bregman divergence. Bregman manifolds are induced …
admits as a canonical divergence a Bregman divergence. Bregman manifolds are induced …