Results 1 to 10 of about 326,200 (128)
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
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 +6 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
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 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
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
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
Information Geometry, Fluctuations, Non-Equilibrium Thermodynamics, and Geodesics in Complex Systems [PDF]
Entropy, 2021 Information theory provides an interdisciplinary method to understand important phenomena in many research fields ranging from astrophysical and laboratory fluids/plasmas to biological systems.
Eun-jin Kim
doaj +2 more sources
Information Geometry of Nonlinear Stochastic Systems [PDF]
Entropy, 2018 We elucidate the effect of different deterministic nonlinear forces on geometric structure of stochastic processes by investigating the transient relaxation of initial PDFs of a stochastic variable x under forces proportional to -xn (n=3,5,7) and ...
Rainer Hollerbach +2 more
doaj +2 more sources