Information Geometry pdf epub mobi txt 電子書 下載 2024


Information Geometry

簡體網頁||繁體網頁
Nihat Ay
Springer
2017-8-26
407
USD 129.00
Hardcover
9783319564777

圖書標籤: 信息論  信息幾何  Geometry  數學-geometry  Statistics   


喜歡 Information Geometry 的讀者還喜歡




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发表于2024-12-24

Information Geometry epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

Information Geometry epub 下載 mobi 下載 pdf 下載 txt 電子書 下載 2024

Information Geometry pdf epub mobi txt 電子書 下載 2024



圖書描述

The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory. Parametrised measure models are defined as fundamental geometric objects, which can be both finite or infinite dimensional. Based on these models, canonical tensor fields are introduced and further studied, including the Fisher metric and the Amari-Chentsov tensor, and embeddings of statistical manifolds are investigated.

This novel foundation then leads to application highlights, such as generalizations and extensions of the classical uniqueness result of Chentsov or the Cramér-Rao inequality. Additionally, several new application fields of information geometry are highlighted, for instance hierarchical and graphical models, complexity theory, population genetics, or Markov Chain Monte Carlo.

The book will be of interest to mathematicians who are interested in geometry, information theory, or the foundations of statistics, to statisticians as well as to scientists interested in the mathematical foundations of complex systems

Information Geometry 下載 mobi epub pdf txt 電子書

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Information Geometry pdf epub mobi txt 電子書 下載
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