An elementary introduction to information geometry

August 17, 2018 ยท Declared Dead ยท ๐Ÿ› Entropy

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Authors Frank Nielsen arXiv ID 1808.08271 Category cs.LG: Machine Learning Cross-listed cs.IT, stat.ML Citations 257 Venue Entropy Last Checked 3 months ago
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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