Work

Information geometry of the Otto metric

Year: 2024

Type: article

Abstract: We introduce the dual of the mixture connection with respect to the Otto metric which represents a new kind of exponential connection. This provides a dual structure consisting of the mixture connection, the Otto metric as a Riemannian metric, and the new exponential connection. We derive the geodesic equation of this exponential connection, which coincides with the Kolmogorov forward equation of a gradient flow. We then derive the canonical contrast function of the introduced dual structure.

Source: Information Geometry

DOI: 10.1007/s41884-024-00149-w

Author: Nihat Ay

Institutions: Santa Fe Institute, Hamburg University of Technology, Leipzig University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Technische Universität Hamburg