Information Geometry and Its Applications: An Overview

Critchley, Frank and Marriott, Paul (2016). Information Geometry and Its Applications: An Overview. In: Nielsen, Frank; Critchley, Frank and Dodson, Christopher T. J. eds. Computational Information Geometry: For Image and Signal Processing. Signals and Communication Technology. Cham: Springer, pp. 1–31.



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.

Viewing alternatives

Download history


Public Attention

Altmetrics from Altmetric

Number of Citations

Citations from Dimensions

Item Actions