An elementary introduction to information geometry
August 17, 2018 ยท Declared Dead ยท ๐ Entropy
"No code URL or promise found in abstract"
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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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