Information Geometry and Its Applications 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Shun-ichi Amari 作者

Springer

译者

2016-2-2 出版日期

373 页数

USD 129.99 价格

Hardcover

Applied Mathematical Sciences 丛书系列

9784431559771 图书编码

Information Geometry and Its Applications 在线电子书图书标签: 信息几何数学-微分几何信息论马上要看1 重读计算机-ai 生物-生物数学流形

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发表于2024-11-22

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Information Geometry and Its Applications 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Information Geometry and Its Applications 在线电子书著者简介

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Information Geometry and Its Applications 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Information Geometry and Its Applications 在线电子书图书描述

This is the first comprehensive book on information geometry, written by the founder of the field. It begins with an elementary introduction to dualistic geometry and proceeds to a wide range of applications, covering information science, engineering, and neuroscience. It consists of four parts, which on the whole can be read independently. A manifold with a divergence function is first introduced, leading directly to dualistic structure, the heart of information geometry. This part (Part I) can be apprehended without any knowledge of differential geometry. An intuitive explanation of modern differential geometry then follows in Part II, although the book is for the most part understandable without modern differential geometry. Information geometry of statistical inference, including time series analysis and semiparametric estimation (the Neyman–Scott problem), is demonstrated concisely in Part III. Applications addressed in Part IV include hot current topics in machine learning, signal processing, optimization, and neural networks. The book is interdisciplinary, connecting mathematics, information sciences, physics, and neurosciences, inviting readers to a new world of information and geometry. This book is highly recommended to graduate students and researchers who seek new mathematical methods and tools useful in their own fields.

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