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

Axioms | Free Full-Text | A Brief Overview and Survey of the Scientific Work by Feng Qi Next
Article in Journal A Stable Generalized Finite Element Method Coupled with Deep Neural …

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 contrast to SPD matrices, few tools exist to perform Riemannian statistics on the open
elliptope of full-rank correlation matrices. The quotient-affine metric was recently built as the …

In the paper, by virtue of the convolution theorem for the Laplace transforms, with the aid of
three monotonicity rules for the ratios of two functions, of two definite integrals, and of two …

In the paper, by virtue of convolution theorem for the Laplace transforms and analytic
techniques, the author finds necessary and sufficient conditions for complete monotonicity …

In many applications, the data can be represented by covariance matrices or correlation
matrices between several signals (EEG, MEG, fMRI), physical quantities (cells, genes), or …

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

Federated learning significantly enhances intelligent transportation systems by enabling
collaborative model training across multiple clients, thereby improving overall performance …

Optimal Transport has received much attention in Machine Learning as it allows to compare
probability distributions by exploiting the geometry of the underlying space. However, in its …