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Critchley, Frank and Marriott, Paul
(2016).
DOI: https://doi.org/10.1007/978-3-319-47058-0_1
Abstract
We give a personal view of what Information Geometry is, and what it is becoming, by exploring a number of key topics: dual affine families, boundaries, divergences, tensorial structures, and dimensionality. For each, we start with a graphical illustrative example (Sect. 1.1), give an overview of the relevant theory and key references (Sect. 1.2), and finish with a number of applications of the theory (Sect. 1.3). We treat ‘Information Geometry’ as an evolutionary term, deliberately not attempting a comprehensive definition. Rather, we illustrate how both the geometries used and application areas are rapidly developing.
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About
- Item ORO ID
- 47973
- Item Type
- Book Section
- ISBN
- 3-319-47056-6, 978-3-319-47056-6
- ISSN
- 1860-4862
- Project Funding Details
-
Funded Project Name Project ID Funding Body Emerging Geometries for Statistical Science: Articulating the Vision. (XM-12-086-FC) EP/L010429/1 EPSRC (Engineering and Physical Sciences Research Council) - Keywords
- signal, image and speech processing; statistics and computing; statistics programs; probability theory; stochastic processes; coding theory; information theory; biomedical engineering
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2017 Springer
- Depositing User
- Radka Sabolova