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arXiv:1808.08271cs.LG

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.

arXiv comments
56 pages, 16 figures
Journal reference
Entropy 2020, 22(10), 1100
DOI
doi:10.3390/e22101100
Subjects
cs.LGMachine Learning cs.ITInformation Theory stat.MLMachine Learning (Statistics)

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