4 papers
A two-point approach to the inverse problem in information geometry
Florio M. Ciaglia, Giuseppe Marmo, Marco Pacelli +2
We formulate the inverse problem in information geometry within a two-point tensorial framework and solve it for general metric-affine manifolds, without imposing any curvature or…
Potential functions in information geometry via bi-forms
Florio M. Ciaglia, Giuseppe Marmo, Marco Pacelli +2
In this paper we develop a general framework for potentials on Lauritzen manifolds, namely smooth manifolds equipped with a pseudo-Riemannian metric and a pair of conjugate affine…
Bi-forms Approach to Potential Functions in Information Geometry
Florio M. Ciaglia, Giuseppe Marmo, Marco Pacelli +2
Contrast functions play a fundamental role in information geometry, providing a means for generating the geometric structures of a statistical manifold: a pseudo-Riemannian metric…
A groupoidal description of elementary particles
Alberto Ibort, Giuseppe Marmo, Arnau Mas +1
In this work, we show that extending the standard description of space-time symmetries from groups of isometries to the more flexible framework of kinematical groupoids allows for…