信息几何基础导论。
An Elementary Introduction to Information Geometry.
作者信息
Nielsen Frank
机构信息
Sony Computer Science Laboratories, Tokyo 141-0022, Japan.
出版信息
Entropy (Basel). 2020 Sep 29;22(10):1100. doi: 10.3390/e22101100.
Abstract
In this survey, we describe the fundamental differential-geometric structures of information manifolds, state the fundamental theorem of information geometry, and illustrate some use cases of these information manifolds in information sciences. The exposition is self-contained by concisely introducing the necessary concepts of differential geometry. Proofs are omitted for brevity.
摘要
在本次调查中，我们描述了信息流形的基本微分几何结构，阐述了信息几何的基本定理，并举例说明了这些信息流形在信息科学中的一些应用案例。通过简要介绍微分几何的必要概念，本文阐述具有自含性。为简洁起见，省略了证明过程。
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