Results 11 to 20 of about 1,354 (166)
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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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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Rényi Divergences, Bures Geometry and Quantum Statistical Thermodynamics
Entropy, 2016 The Bures geometry of quantum statistical thermodynamics at thermal equilibrium is investigated by introducing the connections between the Bures angle and the Rényi 1/2-divergence.
Ali Ümit Cemal Hardal +1 more
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The Rényi divergence enables accurate and precise cluster analysis for localization microscopy. [PDF]
Bioinformatics, 2018 Motivation Clustering analysis is a key technique for quantitatively characterizing structures in localization microscopy images. To build up accurate information about biological structures, it is critical that the quantification is ...
Staszowska AD +6 more
europepmc +2 more sources
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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Geometric Rényi Divergence and its Applications in Quantum Channel Capacities
, 2021 Having a distance measure between quantum states satisfying the right properties is of fundamental importance in all areas of quantum information. In this work, we present a systematic study of the geometric Rényi divergence (GRD), also known as the ...
core +1 more source
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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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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