Laplacian operator on statistical manifold
Differential Geometry
2022-02-18 v1 Information Theory
math.IT
Abstract
In this paper, we define a Laplacian operator on a statistical manifold, called the vector Laplacian. This vector Laplacian incorporates information from the Amari-Chentsov tensor. We derive a formula for the vector Laplacian. We also give two applications using the heat kernel associated with the vector Laplacian.
Cite
@article{arxiv.2202.08386,
title = {Laplacian operator on statistical manifold},
author = {Ruichao Jiang and Javad Tavakoli and Yiqiang Zhao},
journal= {arXiv preprint arXiv:2202.08386},
year = {2022}
}