An elementary introduction to information geometry

Frank Nielsen

doi:10.3390/e22101100

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arXiv · 1808.08271

An elementary introduction to information geometry

Frank Nielsen

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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.

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Frank Nielsen. 2018-08-17. An elementary introduction to information geometry. https://doi.org/10.3390/e22101100

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