Results 1 to 10 of about 17,150,448 (288)
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 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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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
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Information Geometry of κ-Exponential Families: Dually-Flat, Hessian and Legendre Structures [PDF]
Entropy, 2018 In this paper, we present a review of recent developments on the κ -deformed statistical mechanics in the framework of the information geometry.
Antonio M. Scarfone +2 more
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Information Geometry of Randomized Quantum State Tomography [PDF]
Entropy, 2018 Suppose that a d-dimensional Hilbert space H ≃ C d admits a full set of mutually unbiased bases | 1 ( a ) 〉 , ⋯ , | d ( a ) 〉 , where a = 1 , ⋯ , d + 1 .
Akio Fujiwara, Koichi Yamagata
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Capturing Outlines of Planar Generic Images by Simultaneous Curve Fitting and Sub-division [PDF]
Journal of Artificial Intelligence and Data Mining, 2020 In this paper, a new technique has been designed to capture the outline of 2D shapes using cubic B´ezier curves. The proposed technique avoids the traditional method of optimizing the global squared fitting error and emphasizes the local control of data ...
A.R. Ebrahimi +2 more
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