An elementary introduction to information geometry

Authors: Frank Nielsen

Entropy 2020, 22(10), 1100
56 pages, 16 figures

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, but proofs are omitted for brevity.

Submitted to arXiv on 17 Aug. 2018

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