Laplacian operator on statistical manifold

Ruichao Jiang; Javad Tavakoli; Yiqiang Zhao

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arXiv · 2202.08386

Laplacian operator on statistical manifold

Ruichao Jiang·Javad Tavakoli·Yiqiang Zhao

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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.

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Ruichao Jiang, Javad Tavakoli, Yiqiang Zhao. 2022-02-17. Laplacian operator on statistical manifold. https://arxiv.org/abs/2202.08386

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