# Divergence functions in Information Geometry

## TL;DR

This paper explores the properties of a canonical divergence function within Information Geometry, comparing it to other divergences and discussing open problems related to its symmetry features.

## Contribution

It introduces and analyzes a canonical divergence in Information Geometry, highlighting its relation to existing divergences and outlining open problems about its symmetry.

## Key findings

- Connections between the canonical divergence and other divergence functions
- Discussion of symmetry properties and open problems
- Insights into the structure of dual connections in Information Geometry

## Abstract

A recently introduced canonical divergence $\mathcal{D}$ for a dual structure $(\mathrm{g},\nabla,\nabla^*)$ is discussed in connection to other divergence functions. Finally, open problems concerning symmetry properties are outlined.