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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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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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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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Rényi Entropy and Rényi Divergence in Product MV-Algebras [PDF]
Entropy, 2018 This article deals with new concepts in a product MV-algebra, namely, with the concepts of Rényi entropy and Rényi divergence. We define the Rényi entropy of order q of a partition in a product MV-algebra and its conditional version ...
Dagmar Markechová, Beloslav Riečan
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Lexical feature analysis of Chinese informed consent forms based on the information entropy methods: A paired study of minor and their guardian' version. [PDF]
PLoS ONEHigh-quality informed consent forms (ICFs) are crucial to facilitate effective communication between researchers and patients. However, the complex and specialized terminologies in ICFs often result in biased or late interpretations, thus hindering the ...
Qiansu Yang +7 more
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Rényi Entropies of Dynamical Systems: A Generalization Approach [PDF]
Journal of Mahani Mathematical Research, 2023 Entropy measures have received considerable attention in quantifying the structural complexity of real-world systems and are also used as measures of information obtained from a realization of the considered experiments. In the present study, new notions
Zahra Eslami Giski +2 more
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