Results 1 to 10 of about 409,949 (290)
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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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
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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
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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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Non-Metricity in Information Geometry [PDF]
EntropyThe importance of non-metricity in information geometry is described through studies on gradient flow from the perspective of Weyl geometry. The Amari–Centsov tensor Ckij is the non-metricity tensor with respect to the α connection ∇(α) and Fisher metric
Tatsuaki Wada, Antonio Maria Scarfone
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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
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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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Qualia: the geometry of integrated information. [PDF]
PLoS Computational Biology, 2009 According to the integrated information theory, the quantity of consciousness is the amount of integrated information generated by a complex of elements, and the quality of experience is specified by the informational relationships it generates.
David Balduzzi, Giulio Tononi
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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
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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
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