Results 1 to 10 of about 11,572 (160)
Renyi entropy driven hierarchical graph clustering [PDF]
PeerJ Computer Science, 2021 This article explores a graph clustering method that is derived from an information theoretic method that clusters points in ${{\mathbb{R}}^{n}}$Rn relying on Renyi entropy, which involves computing the usual Euclidean distance between these points.
Frédérique Oggier, Anwitaman Datta
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Rényi Entropy and Free Energy [PDF]
Entropy, 2022 The Rényi entropy is a generalization of the usual concept of entropy which depends on a parameter q. In fact, Rényi entropy is closely related to free energy. Suppose we start with a system in thermal equilibrium and then suddenly divide the temperature
John C. Baez
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Some new findings on the survival Rényi entropy and application of COVID-19 data [PDF]
Results in Physics, 2021 Motivated by the connotation of survival Rényi entropy and its related dynamic version, we introduce them in terms of their lower bounds and mean residual life function.
Mohamed S. Mohamed +2 more
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Non-Hermitian Generalization of Rényi Entropy [PDF]
Entropy, 2022 From their conception to present times, different concepts and definitions of entropy take key roles in a variety of areas from thermodynamics to information science, and they can be applied to both classical and quantum systems.
Daili Li, Chao Zheng
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Supersymmetric Renyi Entropy [PDF]
Journal of High Energy Physics, 2013 We consider 3d N>= 2 superconformal field theories on a branched covering of a three-sphere. The Renyi entropy of a CFT is given by the partition function on this space, but conical singularities break the supersymmetry preserved in the bulk.
Nishioka, Tatsuma, Yaakov, Itamar
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A Novel Perspective of the Kalman Filter from the Rényi Entropy [PDF]
Entropy, 2020 Rényi entropy as a generalization of the Shannon entropy allows for different averaging of probabilities of a control parameter α. This paper gives a new perspective of the Kalman filter from the Rényi entropy.
Yarong Luo +3 more
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Rényi Entropy in Statistical Mechanics [PDF]
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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Renyi Entropy and Geometry [PDF]
Physical Review D, 2014 Entanglement entropy in even dimensional conformal field theories (CFTs) contains well-known universal terms arising from the conformal anomaly. Renyi entropies are natural generalizations of the entanglement entropy that are much less understood.
Lee, Jeongseog +2 more
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The Case for Shifting the Renyi Entropy [PDF]
Entropy, 2019 We introduce a variant of the Rényi entropy definition that aligns it with the well-known Hölder mean: in the new formulation, the r-th order Rényi Entropy is the logarithm of the inverse of the r-th order Hölder mean. This brings about new insights into
Francisco J. Valverde-Albacete +1 more
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From Rényi Entropy Power to Information Scan of Quantum States [PDF]
Entropy, 2021 In this paper, we generalize the notion of Shannon’s entropy power to the Rényi-entropy setting. With this, we propose generalizations of the de Bruijn identity, isoperimetric inequality, or Stam inequality. This framework not only allows for finding new
Petr Jizba +2 more
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