A Weyl geometric approach to the gradient-flow equations in information geometry
Mathematical Physics
2023-07-25 v4 Information Theory
math.IT
math.MP
Abstract
The gradient-flow equations with respect to the potential functions in information geometry are reconsidered from the perspective of the Weyl integrable geometry. The pre-geodesic equations associated with the gradient-flow equations are regarded as the general pre-geodesic equations in the Weyl integrable geometry.
Keywords
Cite
@article{arxiv.2212.14706,
title = {A Weyl geometric approach to the gradient-flow equations in information geometry},
author = {Tatsuaki Wada},
journal= {arXiv preprint arXiv:2212.14706},
year = {2023}
}
Comments
12 pages, no figure