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Laplacian operator on statistical manifold
Ruichao Jiang, Javad Tavakoli, Yiqiang Zhao · 2022-02-17 · via cs.IT updates on arXiv.org

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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