Results 11 to 20 of about 1,600,993 (289)
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
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
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Information geometry of Gaussian channels [PDF]
Physical Review A, 2010 19 pages, 4 ...
Alex Monràs, Fabrizio Illuminati
core +7 more sources
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
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On Monotone Embedding in Information Geometry [PDF]
Entropy, 2015 A paper was published (Harsha and Subrahamanian Moosath, 2014) in which the authors claimed to have discovered an extension to Amari's \(\alpha\)-geometry through a general monotone embedding function. It will be pointed out here that this so-called \((F,
Jun Zhang
doaj +5 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
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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
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
Geometry from information geometry [PDF]
AIP Conference Proceedings, 2016 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. We find that the resultant information metric does not describe the full geometry of space but only its conformal geometry -- the geometry up to local changes of scale ...
Caticha, Ariel
openaire +4 more sources
Information Geometry on the \(\kappa\)-Thermostatistics [PDF]
Entropy, 2015 We explore the information geometric structure of the statistical manifold generated by the \(\kappa\)-deformed exponential family. The dually-flat manifold is obtained as a dualistic Hessian structure by introducing suitable generalization of the Fisher
Tatsuaki Wada, Antonio M. Scarfone
doaj +6 more sources