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Finite Information Geometry

2017
This chapter investigates probability distributions on a finite sample space and takes advantage of the more elementary nature of this setting. There are two complementary ways to view a probability distribution. One consists in viewing it as (positive) measure with total mass 1.
Ay, Nihat   +3 more
openaire   +1 more source

Information Geometry and Statistics

2017
We apply the functional analytical and differential geometric results of the preceding chapters to the field of statistics and obtain very general versions of the basic classical results. In a narrower sense, the term statistic refers to a mapping from a given sample space Ω to another Ω′, and it is called sufficient for a parametric family, if the ...
Ay, Nihat   +3 more
openaire   +1 more source

Fields of Application of Information Geometry

2017
1.Complexity measures can be geometrically built by using the information distance (Kullback–Leibler divergence) from families with restricted statistical dependencies. The Pythagorean geometry developed in Chaps. 2 and 4 allows us to iterate such constructions, by going to simpler and simpler families and taking—possibly weighted—sums, thereby ...
Ay, Nihat   +3 more
openaire   +1 more source

Informational Dark Geometry (IDG)

Informational Dark Geometry (IDG) is the informational and thermodynamic face of the Dark Geometry programme. It rests on a single foundational principle, the Hertault axiom e4σ(x) = I(x) = Sent(x)/SBek(x) which identifies the conformal mode of the metric with the local informational saturation ratio.
openaire   +1 more source

Representational geometry of perceptual decisions in the monkey parietal cortex

Cell, 2021
Gouki Okazawa   +2 more
exaly  

The Geometry of Abstraction in the Hippocampus and Prefrontal Cortex

Cell, 2020
Mattia Rigotti   +2 more
exaly  

Special geometry, Hessian structures and applications

Physics Reports, 2020
Thomas Mohaupt, Gabriel Lopes Cardoso
exaly  

Information Geometry

2022
Shinto Eguchi, Osamu Komori
openaire   +1 more source

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