Results 11 to 20 of about 1,046 (132)
Refined Young Inequality and Its Application to Divergences
Entropy, 2021 We give bounds on the difference between the weighted arithmetic mean and the weighted geometric mean. These imply refined Young inequalities and the reverses of the Young inequality. We also studied some properties on the difference between the weighted
Shigeru Furuichi, Nicuşor Minculete
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Fractal Divergences of Generalized Jacobi Polynomials
Mathematics, 2023 The notion of entropy (including macro state entropy and information entropy) is used, among others, to define the fractal dimension. Rényi entropy constitutes the basis for the generalized correlation dimension of multifractals.
Răzvan-Cornel Sfetcu, Vasile Preda
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Conditional Rényi Divergences and Horse Betting
Entropy, 2020 Motivated by a horse betting problem, a new conditional Rényi divergence is introduced. It is compared with the conditional Rényi divergences that appear in the definitions of the dependence measures by Csiszár and Sibson, and the ...
Cédric Bleuler +2 more
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Geometry Induced by a Generalization of Rényi Divergence
Entropy, 2016 In this paper, we propose a generalization of Rényi divergence, and then we investigate its induced geometry. This generalization is given in terms of a φ-function, the same function that is used in the definition of non-parametric φ-families.
David C. de Souza +2 more
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A Rényi quantum null energy condition: proof for free field theories
Journal of High Energy Physics, 2021 The Quantum Null Energy Condition (QNEC) is a lower bound on the stress-energy tensor in quantum field theory that has been proved quite generally.
Mudassir Moosa +2 more
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On Representations of Divergence Measures and Related Quantities in Exponential Families
Entropy, 2021 Within exponential families, which may consist of multi-parameter and multivariate distributions, a variety of divergence measures, such as the Kullback–Leibler divergence, the Cressie–Read divergence, the Rényi divergence, and the Hellinger metric, can ...
Stefan Bedbur, Udo Kamps
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Correlation functions and quantum measures of descendant states
Journal of High Energy Physics, 2021 We discuss a computer implementation of a recursive formula to calculate correlation functions of descendant states in two-dimensional CFT. This allows us to obtain any N-point function of vacuum descendants, or to express the correlator as a ...
Enrico M. Brehm, Matteo Broccoli
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Rényi Entropy in Statistical Mechanics
Entropy, 2022 Rényi entropy was originally introduced in the field of information theory as a parametric relaxation of Shannon (in physics, Boltzmann–Gibbs) entropy. This has also fuelled different attempts to generalise statistical mechanics, although mostly skipping
Jesús Fuentes, Jorge Gonçalves
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RETRACTED ARTICLE: Generalization of the Levinson inequality with applications to information theory
Journal of Inequalities and Applications, 2019 In the presented paper, Levinson’s inequality for 3-convex function is generalized by using two Green’s functions. Čebyšev, Grüss, and Ostrowski-type new bounds are found for the functionals involving data points of two types.
Muhammad Adeel +3 more
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Spacecraft Anomaly Recognition Based on Morphological Variational Mode Decomposition and JRD [PDF]
Xibei Gongye Daxue Xuebao, 2018 Considering the difficulty in identifying the in-orbital spacecraft weak anomaly, a spacecraft anomaly state recognition method based on Morphological variational mode decomposition and JRD distance is proposed.
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