In this paper, the authors review and survey some results published since 2020 about
(complete) monotonicity, inequalities, and their necessary and sufficient conditions for …

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 …

We introduce the information geometry module of the Python package Geomstats. The
module first implements Fisher–Rao Riemannian manifolds of widely used parametric …

Résumé L'étude des formes anatomiques et de leur mouvement est au cœur des
préoccupations dans de nombreuses spécialités de la médecine. En cardiologie, des …

In a financial market, regime switching occurs as a result of a financial stress causing
volatility to change rapidly. In this article, we present an information geometry framework for …

The study of anatomical shapes and deformations is of major interest in cardiology where
diseases such as arrhythmia or pulmonary hypertension cause abnormalities in the way the …