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

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Nihat Ay 作者

Springer

譯者

2017-8-26 出版日期

407 頁數

USD 129.00 價格

Hardcover

叢書系列

9783319564777 圖書編碼

Information Geometry 在線電子書圖書標籤: 信息論信息幾何 Geometry 數學-geometry Statistics

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發表於2024-12-27

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

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

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

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Information Geometry 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Information Geometry 在線電子書圖書描述

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

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