An elementary introduction to information geometry
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.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2018
- DOI:
- arXiv:
- arXiv:1808.08271
- Bibcode:
- 2018arXiv180808271N
- Keywords:
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- Computer Science - Machine Learning;
- Computer Science - Information Theory;
- Statistics - Machine Learning
- E-Print:
- 56 pages, 16 figures