An elementary introduction to information geometry
arXiv:1808.08271v2278 citations
AI Analysis
This is an incremental survey aimed at making information geometry accessible to learners in information sciences.
The paper provides a self-contained introduction to the differential-geometric structures of information manifolds, covering fundamental theorems and use cases in information sciences without including proofs.
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, but proofs are omitted for brevity.