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An elementary introduction to information geometry

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arxiv 1808.08271 v2 pith:5WERCMNV submitted 2018-08-17 cs.LG cs.ITmath.ITstat.ML

An elementary introduction to information geometry

classification cs.LG cs.ITmath.ITstat.ML
keywords informationgeometryfundamentalmanifoldsbrevitycasesconceptsconcisely
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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