Results 21 to 30 of about 17,150,448 (288)
Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction [PDF]
, 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
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Syntax and Geometry of Information
Proceedings of the 61st Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), 2023 This paper presents an information-theoretical model of syntactic generalization. We study syntactic generalization from the perspective of the capacity to disentangle semantic and structural information, emulating the human capacity to assign a grammaticality judgment to semantically nonsensical sentences. In order to isolate the structure, we propose
Bailly, Raphaël +2 more
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Japanese Journal of Mathematics, 2021 SummaryStatistical inference is constructed upon a statistical model consisting of a parameterised family of probability distributions, which forms a manifold. It is important to study the geometry of the manifold. It was Professor C. R. Rao who initiated information geometry in his monumental paper published in 1945.
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Biology, geometry and information [PDF]
Theory in Biosciences, 2021 AbstractThe main thesis developed in this article is that the key feature of biological life is the a biological process can control and regulate other processes, and it maintains that ability over time. This control can happen hierarchically and/or reciprocally, and it takes place in three-dimensional space.
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Information geometry and holographic correlators
Journal of High Energy Physics, 2022 We explore perturbative corrections to quantum information geometry. In particular, we study a Bures information metric naturally associated with the correlation functions of a conformal field theory.
Hardik Bohra +2 more
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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.
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Stochastic Chaos and Markov Blankets
Entropy, 2021 In this treatment of random dynamical systems, we consider the existence—and identification—of conditional independencies at nonequilibrium steady-state.
Karl Friston +4 more
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Information Geometry for the Working Information Theorist
CoRR, 2023 12 pages, 3 figures, 1 ...
Kumar Vijay Mishra +2 more
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Quantum information geometry of driven CFTs
Journal of High Energy Physics, 2023 Driven quantum systems exhibit a large variety of interesting and sometimes exotic phenomena. Of particular interest are driven conformal field theories (CFTs) which describe quantum many-body systems at criticality.
Jan de Boer +3 more
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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
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