论文标题
扭曲产品空间的信息几何形状
Information geometry of warped product spaces
论文作者
论文摘要
信息几何形状是研究统计模型的重要工具。统计模型中有一些重要的例子被认为是扭曲的产品。在本文中，我们研究了扭曲产品的信息几何形状。我们考虑了扭曲的产品及其光纤空间配备双重平坦连接的情况，并且在特殊情况下，表征了基本空间上的连接$ \ mathbb {r} _ {> 0} $。结果连接结果是$α$ - 连接，带有$α= \ pm {1} $。
Information geometry is an important tool to study statistical models. There are some important examples in statistical models which are regarded as warped products. In this paper, we study information geometry of warped products. We consider the case where the warped product and its fiber space are equipped with dually flat connections and, in the particular case of a cone, characterize the connections on the base space $\mathbb{R}_{>0}$. The resulting connections turn out to be the $α$-connections with $α= \pm{1}$.
