Results 1 to 10 of about 11,030 (203)

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, Amani Almohaimeed, Mahmoud M. Abd El-Raouf   +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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Rényi Cross-Entropy Measures for Common Distributions and Processes with Memory [PDF]

Entropy, 2022
Two Rényi-type generalizations of the Shannon cross-entropy, the Rényi cross-entropy and the Natural Rényi cross-entropy, were recently used as loss functions for the improved design of deep learning generative adversarial networks.
Ferenc Cole Thierrin, Fady Alajaji, Tamás Linder   +2 more
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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, Chi Guo, Shengyong You, Jingnan Liu   +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, Carmen Peláez-Moreno   +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, Jacob Dunningham, Martin Prokš   +2 more
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Properties, Bounds, and Estimation of Rényi Entropy in Consecutive k-out-of-n:G Systems [PDF]

Journal of Mathematics
This study investigates the Renyi entropy properties of consecutive k-out-of-n:G systems. Initially, a formula for the Renyi entropy of the lifetime of a consecutive k-out-of-n:G system is derived, offering a thorough insight into its Renyi entropy ...
Mansour Shrahili
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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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