Results 21 to 30 of about 4,536 (162)
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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Logarithmic black hole entropy corrections and holographic Rényi entropy
European Physical Journal C: Particles and Fields, 2018 The entanglement and Rényi entropies for spherical entangling surfaces in CFTs with gravity duals can be explicitly calculated by mapping these entropies first to the thermal entropy on hyperbolic space and then, using the AdS/CFT correspondence, to the ...
Subhash Mahapatra
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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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A Generalization of the Concavity of Rényi Entropy Power. [PDF]
Entropy (Basel), 2021 Recently, Savaré-Toscani proved that the Rényi entropy power of general probability densities solving the p-nonlinear heat equation in Rn is a concave function of time under certain conditions of three parameters n,p,μ, which extends Costa’s concavity ...
Guo L, Yuan CM, Gao XS.
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Rényi Cross-Entropy Measures for Common Distributions and Processes with Memory
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 +2 more
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Rényi entropy of different algorithms.
, 2022 Rényi entropy of different algorithms.
Xingcheng Han (9565324) +3 more
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Pseudo Entropy in U(1) gauge theory
Journal of High Energy Physics, 2022 We study the properties of pseudo entropy, a new generalization of entanglement entropy, in free Maxwell field theory in d = 4 dimension. We prepare excited states by the different components of the field strengths located at different Euclidean times ...
Jyotirmoy Mukherjee
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Fuzzy clustering methods with Rényi relative entropy and cluster size
, 2021 In the last two decades, information entropy measures have been relevantly applied in fuzzy clustering problems in order to regularize solutions by avoiding the formation of partitions with excessively overlapping clusters.
Vélez Serrano, Daniel +3 more
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Convexity and robustness of the Rényi entropy
Modern Stochastics: Theory and Applications, 2021 We study convexity properties of the Rényi entropy as function of $\alpha >0$ on finite alphabets. We also describe robustness of the Rényi entropy on finite alphabets, and it turns out that the rate of respective convergence depends on initial alphabet.
Filipp Buryak, Yuliya Mishura
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On the real-time evolution of pseudo-entropy in 2d CFTs
Journal of High Energy Physics, 2022 In this work, we study the real-time evolution of pseudo-(Rényi) entropy, a generalization of entanglement entropy, in two-dimensional conformal field theories (CFTs).
Wu-zhong Guo, Song He, Yu-Xuan Zhang
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