论文标题
统计歧管上的拉普拉斯运营商
Laplacian operator on statistical manifold
论文作者
论文摘要
在本文中，我们在统计歧管上定义了一个laplacian操作员，称为矢量laplacian。该矢量laplacian合并了来自Amari-Chentsov张量的信息。我们得出了矢量laplacian的公式。我们还使用与矢量laplacian相关的热核提供了两种应用。
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.
