An Elementary Introduction to Information Geometry

Frank Nielsen
2020 Entropy  
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.
doi:10.3390/e22101100 pmid:33286868 pmcid:PMC7650632 fatcat:ye2h3cjx35e6xcbrhiic2hmuea