Results 31 to 40 of about 16,524,402 (288)
Geometry of Information Integration [PDF]
, 2018 Information geometry is used to quantify the amount of information integration within multiple terminals of a causal dynamical system. Integrated information quantifies how much information is lost when a system is split into parts and information transmission between the parts is removed. Multiple measures have been proposed as a measure of integrated
Shun-ichi Amari +2 more
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Foliations-Webs-Hessian Geometry-Information Geometry-Entropy and Cohomology
Entropy, 2016 IN MEMORIAM OF ALEXANDER GROTHENDIECK. THE MAN.
Michel Nguiffo Boyom
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Neural Dynamics under Active Inference: Plausibility and Efficiency of Information Processing
Entropy, 2021 Active inference is a normative framework for explaining behaviour under the free energy principle—a theory of self-organisation originating in neuroscience.
Lancelot Da Costa +3 more
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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 ...
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Moufang patterns and geometry of information
Pure and Applied Mathematics Quarterly, 2023 amstex, 42 ...
Combe, Noémie +2 more
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Pullback Bundles and the Geometry of Learning
Entropy, 2023 Explainable Artificial Intelligence (XAI) and acceptable artificial intelligence are active topics of research in machine learning. For critical applications, being able to prove or at least to ensure with a high probability the correctness of algorithms
Stéphane Puechmorel
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Statistical Analysis of Plasma Dynamics in Gyrokinetic Simulations of Stellarator Turbulence
Entropy, 2023 A geometrical method for assessing stochastic processes in plasma turbulence is investigated in this study. The thermodynamic length methodology allows using a Riemannian metric on the phase space; thus, distances between thermodynamic states can be ...
Aristeides D. Papadopoulos +4 more
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Information geometry of the spherical model [PDF]
Physical Review E, 2003 Motivated by previous observations that geometrizing statistical mechanics offers an interesting alternative to more standard approaches,we have recently calculated the curvature (the fundamental object in this approach) of the information geometry metric for the Ising model on an ensemble of planar random graphs.
Janke, W., Johnston, D. A., Kenna, R.
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Computational Information Geometry in Statistics: Theory and Practice
Entropy, 2014 A broad view of the nature and potential of computational information geometry in statistics is offered. This new area suitably extends the manifold-based approach of classical information geometry to a simplicial setting, in order to obtain an ...
Frank Critchley, Paul Marriott
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Information geometry and the renormalization group [PDF]
Physical Review E, 2015 1 + 20 Pages, LaTeX. References added, Discussions improved. Version accepted in Phys.
Maity, Reevu +2 more
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