An elementary introduction to information geometry
Machine Learning
2020-10-01 v2 Information Theory
math.IT
Machine Learning
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.
Keywords
Cite
@article{arxiv.1808.08271,
title = {An elementary introduction to information geometry},
author = {Frank Nielsen},
journal= {arXiv preprint arXiv:1808.08271},
year = {2020}
}
Comments
56 pages, 16 figures