Results 1 to 10 of about 1,655,202 (268)
An Elementary Introduction to Information Geometry [PDF]
Entropy, 2020 In this survey, we describe the fundamental differential-geometric structures of information manifolds, state the fundamental theorem of information geometry, and illustrate some use cases of these information manifolds in information sciences.
Frank Nielsen
doaj +8 more sources
Information Geometry in Roegenian Economics [PDF]
Entropy, 2022 We characterise the geometry of the statistical Roegenian manifold that arises from the equilibrium distribution of an income of noninteracting identical economic actors.
Constantin Udriste, Ionel Tevy
doaj +4 more sources
Kaniadakis’s Information Geometry of Compositional Data [PDF]
Entropy, 2023 We propose to use a particular case of Kaniadakis’ logarithm for the exploratory analysis of compositional data following the Aitchison approach. The affine information geometry derived from Kaniadakis’ logarithm provides a consistent setup for the ...
Giovanni Pistone, Muhammad Shoaib
doaj +2 more sources
Geometry from Information Geometry [PDF]
AIP Conference Proceedings, 2015 We use the method of maximum entropy to model physical space as a curved statistical manifold. It is then natural to use information geometry to explain the geometry of space.
Caticha, Ariel
core +2 more sources
Information geometry encoded in bulk geometry [PDF]
Journal of High Energy Physics, 2020 We study how information geometry is described by bulk geometry in the gauge/gravity correspondence. We consider a quantum information metric that measures the distance between the ground states of a CFT and a theory obtained by perturbing the CFT.
Asato Tsuchiya, Kazushi Yamashiro
doaj +4 more sources
The Information Geometry of Sensor Configuration [PDF]
Sensors, 2021 In problems of parameter estimation from sensor data, the Fisher information provides a measure of the performance of the sensor; effectively, in an infinitesimal sense, how much information about the parameters can be obtained from the measurements ...
Simon Williams +3 more
doaj +2 more sources
Information geometry and holographic correlators
Journal of High Energy Physics, 2022 We explore perturbative corrections to quantum information geometry. In particular, we study a Bures information metric naturally associated with the correlation functions of a conformal field theory.
Hardik Bohra +2 more
doaj +3 more sources
Nonparametric Information Geometry [PDF]
, 2013 The differential-geometric structure of the set of positive densities on a given measure space has raised the interest of many mathematicians after the discovery by C.R. Rao of the geometric meaning of the Fisher information.
A. Ambrosetti +43 more
core +2 more sources
Information geometry for phylogenetic trees. [PDF]
J Math Biol, 2021 AbstractWe propose a new space of phylogenetic trees which we callwald space. The motivation is to develop a space suitable for statistical analysis of phylogenies, but with a geometry based on more biologically principled assumptions than existing spaces: in wald space, trees are close if they induce similar distributions on genetic sequence data.
Garba MK, Nye TMW, Lueg J, Huckemann SF.
europepmc +8 more sources
Information Geometry and Manifold Learning: A Novel Framework for Analyzing Alzheimer’s Disease MRI Data [PDF]
DiagnosticsBackground: Alzheimer’s disease is a progressive neurological condition marked by a decline in cognitive abilities. Early diagnosis is crucial but challenging due to overlapping symptoms among impairment stages, necessitating non-invasive, reliable ...
Ömer Akgüller +2 more
doaj +2 more sources