Collection Shannon 100
Organizer(s)
Date(s)
04/05/2024
The dual geometry of Shannon information and its applications
In information geometry, the negative Shannon entropy, called the Shannon information, is a strictly convex and differentiable function that induces a dually flat manifold structure equipped with the Kullback- Leibler divergence. In this talk, I review the concept of dual geometries, introduce the dual space of spheres, and describe the role of divergences in information theory, statistics, pattern recognition and machine learning.
