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https://elib.bsu.by/handle/123456789/267546| Title: | Information Geometry of the Probability Simplex: A Short Course |
| Authors: | Pistone, G. |
| Keywords: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Физика |
| Issue Date: | 2020 |
| Publisher: | Minsk : Education and Upbringing |
| Citation: | Nonlinear Phenomena in Complex Systems. - 2020. - Vol. 23, N 2. - P. 221-242 |
| Abstract: | This set of notes is intended for a short course aiming to provide an (almost) self-contained and (almost) elementary introduction to the topic of Information Geometry (IG) of the probability simplex. Such a course can be considered an introduction to the original monograph by Amari and Nagaoka [1], and to the recent monographs by Amari [2] and by Ay, Jost, L˄e, and Schwachh¨ofer [3]. The focus is on a non-parametric approach, that is, I consider the geometry of the full probability simplex and compare the IG formalism with what is classically done in Statistical Physics. |
| URI: | https://elib.bsu.by/handle/123456789/267546 |
| ISSN: | 1561-4085 |
| DOI: | 10.33581/1561-4085-2020-23-2-221-242 |
| Licence: | info:eu-repo/semantics/restrictedAccess |
| Appears in Collections: | 2020. Volume 23. Number 2 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| v23no2p221.pdf | 640,37 kB | Adobe PDF | View/Open |
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