Nielsen F. An Elementary Introduction to Information Geometry.
ENTROPY (BASEL, SWITZERLAND) 2020;
22:E1100. [PMID:
33286868 PMCID:
PMC7650632 DOI:
10.3390/e22101100]
[Citation(s) in RCA: 22] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 09/06/2020] [Revised: 09/25/2020] [Accepted: 09/27/2020] [Indexed: 11/17/2022]
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. Proofs are omitted for brevity.
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