Results 21 to 30 of about 326,200 (128)
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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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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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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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 ...
openaire +2 more sources
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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The Information Geometry of UMAP
Le Matematiche, 2023 12 pages, 2 figures, 3 tables ; Github repo (https://github.com/sashakolpakov/info-geometry-umap) ; to appear in Le ...
Alexander Kolpakov \ University of Neuch\^atel, Switzerland +2 more
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On Monotone Embedding in Information Geometry
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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Lifting Dual Connections with the Riemann Extension
Mathematics, 2020 Let (M,g) be a Riemannian manifold equipped with a pair of dual connections (∇,∇*). Such a structure is known as a statistical manifold since it was defined in the context of information geometry.
Stéphane Puechmorel
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How Morphological Computation Shapes Integrated Information in Embodied Agents
Frontiers in Psychology, 2021 The Integrated Information Theory provides a quantitative approach to consciousness and can be applied to neural networks. An embodied agent controlled by such a network influences and is being influenced by its environment.
Carlotta Langer +5 more
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