论文标题
非分类密度矩阵流形的无参数描述
Parameter-free description of the manifold of non-degenerate density matrices
论文作者
论文摘要
本文给出了指数弧的定义，在非脱位密度矩阵的流形中，并将其用作在有限维情况下开发非共同信息几何形状的无参数版本的起点。鉴于Bogoliubov指标，M和电子连接彼此是双重的。引入了凸电势。他们允许介绍双图。最终引入了仿射坐标，以与更常见的方法建立联系。
The paper gives a definition of exponential arcs in the manifold of non-degenerate density matrices and uses it as a starting point to develop a parameter-free version of non-commutative Information Geometry in the finite-dimensional case. Given the Bogoliubov metric the m- and e-connections are each other dual. Convex potentials are introduced. They allow to introduce dual charts. Affine coordinates are introduced at the end to make the connection with the more usual approach.
