Results 31 to 40 of about 407,884 (290)
F‐Manifolds and geometry of information [PDF]
Bulletin of the London Mathematical Society, 2020 The theory of $F$-manifolds, and more generally, manifolds endowed with commutative and associative multiplication of their tangent fields, was discovered and formalised in various models of quantum field theory involving algebraic and analytic geometry, at least since 1990's. The focus of this paper consists in the demonstration that various spaces of
Combe , N., Manin, Y.
openaire +5 more sources
Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction
, 2023 Jordan algebras arise naturally in (quantum) information geometry, and we want to understand their role and their structure within that framework. Inspired by Kirillov's discussion of the symplectic structure on coadjoint orbits, we provide a similar ...
Schwachhöfer, Lorenz J. +7 more
core +1 more source
Subband Information Geometry Detection Method Based on Orthogonal Projection for Weak Radar Targets
Leida xuebao, 2023 Herein, a novel and effective method for detecting radar targets with a low signal-to-clutter ratio is proposed based on the information geometry theory.
Zheng YANG +4 more
doaj +1 more source
Moufang patterns and geometry of information
Pure and Applied Mathematics Quarterly, 2023 amstex, 42 ...
Combe, Noémie +2 more
openaire +4 more sources
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
openaire +2 more sources
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
doaj +1 more source
Foliations-Webs-Hessian Geometry-Information Geometry-Entropy and Cohomology
Entropy, 2016 IN MEMORIAM OF ALEXANDER GROTHENDIECK. THE MAN.
Michel Nguiffo Boyom
doaj +1 more source
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
doaj +1 more source
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
Geometry of information: Classical and quantum aspects [PDF]
Theoretical Computer Science, 2022 In this article, we describe various aspects of categorification of the structures appearing in information theory. These aspects include probabilistic models both of classical and quantum physics, emergence of F-manifolds, and motivic enrichments.
Noemie Combe +2 more
openaire +5 more sources