Results 11 to 20 of about 10,181 (161)

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, Fady Alajaji, Tamás Linder   +2 more
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Rényi Entropy of k-Records

Revstat Statistical Journal, 2022
In this paper, we discuss on Rényi entropy of k-records arising from any continuous distribution in detail. The relevance of constructing k-records from random sample in the context of information contained in a random variable has been described in the
Jitto Jose , E. I. Abdul Sathar
doaj   +1 more source

Wavelet-Based Entropy Measures to Characterize Two-Dimensional Fractional Brownian Fields [PDF]

, 2020
The aim of this work was to extend the results of Perez et al. (Physica A (2006), 365 (2), 282–288) to the two-dimensional (2D) fractional Brownian field. In particular, we defined Shannon entropy using the wavelet spectrum from which the Hurst exponent is
Contreras-Reyes, Javier, Mateu, Jorge, Nicolis, Orietta   +2 more
core   +1 more source

Pseudo entropy of primary operators in T T ¯ / J T ¯ $$ T\overline{T}/J\overline{T} $$ -deformed CFTs

Journal of High Energy Physics, 2023
In this work, we investigate the time evolution of the pseudo-(Rényi) entropy after local primary operator quenches in 2D CFTs with T T ¯ / J T ¯ $$ T\overline{T}/J\overline{T} $$ -deformation. Using perturbation theory, we analyze the corrections to the
Song He, Jie Yang, Yu-Xuan Zhang, Zi-Xuan Zhao   +3 more
doaj   +1 more source

Thermodynamics, stability and Hawking-Page transition of Kerr black holes from R\'enyi statistics [PDF]

, 2017
Thermodynamics of rotating black holes described by the R\'enyi formula as equilibrium and zeroth law compatible entropy function is investigated. We show that similarly to the standard Boltzmann approach, isolated Kerr black holes are stable with ...
Czinner, Viktor G., Iguchi, Hideo
core   +2 more sources

Negative Rényi entropy and brane intersection

Journal of High Energy Physics, 2023
In this work, we revisit the calculation of Rényi entropy in AdS3/(B)CFT2. We find that gravity solutions with brane intersection will lead to negative Rényi entropy.
Jia Tian, Xiaoge Xu
doaj   +1 more source

An equality between entanglement and uncertainty [PDF]

, 2014
Heisenberg's uncertainty principle implies that if one party (Alice) prepares a system and randomly measures one of two incompatible observables, then another party (Bob) cannot perfectly predict the measurement outcomes.
Berta, Mario, Coles, Patrick J., Wehner, Stephanie   +2 more
core   +3 more sources