Results 71 to 80 of about 1,328,298 (163)
Variational Information Principles to Unveil Physical Laws
MathematicsThis article demonstrates that the application of the variation method to purely information-theoretic models can lead to the discovery of fundamental equations in physics, such as Schrödinger’s equation.
D. Bernal-Casas, J. M. Oller
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Information Geometry of κ-Exponential Families: Dually-Flat, Hessian and Legendre Structures
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 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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Change, time and information geometry
, 2000 Dynamics, the study of change, is normally the subject of mechanics. Whether the chosen mechanics is ``fundamental'' and deterministic or ``phenomenological'' and stochastic, all changes are described relative to an external time.
Caticha, Ariel
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The basics of information geometry [PDF]
AIP Conference Proceedings, 2015 To what extent can we distinguish one probability distribution from another? Are there quantitative measures of distinguishability? The goal of this tutorial is to approach such questions by introducing the notion of the "distance" between two probability distributions and exploring some basic ideas of such an "information geometry".
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Variational Bayes for Regime-Switching Log-Normal Models
Entropy, 2014 The power of projection using divergence functions is a major theme in information geometry. One version of this is the variational Bayes (VB) method. This paper looks at VB in the context of other projection-based methods in information geometry.
Hui Zhao, Paul Marriott
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One Bit is All It Takes: A Devastating Timing Attack on BLISS’s Non-Constant Time Sign Flips
Journal of Mathematical Cryptology, 2020 As one of the most efficient lattice-based signature schemes, and one of the only ones to have seen deployment beyond an academic setting (e.g., as part of the VPN software suite strongSwan), BLISS has attracted a significant amount of attention in terms
Tibouchi Mehdi, Wallet Alexandre
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Matrix Information Geometry [PDF]
, 2013 Book dedication.- Preface.- Part I: State-of-the-art surveys & original matrix theory work.- Part II: Advanced matrix theory for radar processing.- Part III: Matrix-based signal processing applications.- Index of ...
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Information Geometric Approach to Recursive Update in Nonlinear Filtering
Entropy, 2017 The measurement update stage in the nonlinear filtering is considered in the viewpoint of information geometry, and the filtered state is considered as an optimization estimation in parameter space has been corresponded with the iteration in the ...
Yubo Li +4 more
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INFORMATION GEOMETRY.Information geometry aims at elucidating structures of information spaces by the help of modern differential geometry. It is expected to give a new powerful method applicable to a wide field of information including transformation theory, statistics, control theory, etc.
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