Zobrazeno 1 - 10
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pro vyhledávání: '"R. E. The"'
Autor:
Penington, Geoff, Rath, Pratik
Recently Dong, Rath and Kudler-Flam proposed a modified cosmic brane prescription for computing the R\'{e}nyi entropy $S_\alpha$ of a holographic system in the presence of multiple extremal surfaces. This prescription was found by assuming a diagonal
Externí odkaz:
http://arxiv.org/abs/2412.03670
Celestial holography is the conjecture that scattering amplitudes in $(d+2)$-dimensional asymptotically Minkowski spacetimes are dual to correlators of a $d$-dimensional conformal field theory (CFT) on the celestial sphere, called the celestial CFT (
Externí odkaz:
http://arxiv.org/abs/2412.09485
We calculate and analyze various entropy measures and their properties for selected probability distributions. The entropies considered include Shannon, R\'enyi, generalized R\'enyi, Tsallis, Sharma-Mittal, and modified Shannon entropy, along with th
Externí odkaz:
http://arxiv.org/abs/2411.15817
We study adjacency and Laplacian matrices of Erd\H{o}s-R\'{e}nyi $r$-uniform hypergraphs on $n$ vertices with hyperedge inclusion probability $p$, in the setting where $r$ can vary with $n$ such that $r / n \to c \in [0, 1)$. Adjacency matrices of hy
Externí odkaz:
http://arxiv.org/abs/2409.03756
Consider the problems of computing the Augustin information and a R\'{e}nyi information measure of statistical independence, previously explored by Lapidoth and Pfister (IEEE Information Theory Workshop, 2018) and Tomamichel and Hayashi (IEEE Trans.
Externí odkaz:
http://arxiv.org/abs/2409.02640
For $\tilde{f}(t) = \exp(\frac{\alpha-1}{\alpha}t)$, this paper proposes a $\tilde{f}$-mean information gain measure. R\'{e}nyi divergence is shown to be the maximum $\tilde{f}$-mean information gain incurred at each elementary event $y$ of channel o
Externí odkaz:
http://arxiv.org/abs/2405.00423
Autor:
Henda, Mokhtar Ben
Publikováno v:
Colloque international " Les usages intelligents des technologies de l'information et de la communication dans la r{\'e}organisation universitaire '', Africampus; Universit{\'e} Omar Bongo, Jun 2008, Libreville, Gabon. pp.437-458
University renovation is a recurring fact generated by permanent technological innovations and new methods of organizing universities and training offers. Technological interoperability standards play a determining role, not only by providing added v
Externí odkaz:
http://arxiv.org/abs/2404.17595
We consider two types of entropy, namely, Shannon and R\'{e}nyi entropies of the Poisson distribution, and establish their properties as the functions of intensity parameter. More precisely, we prove that both entropies increase with intensity. While
Externí odkaz:
http://arxiv.org/abs/2403.08805
This paper proposes an $\alpha$-leakage measure for $\alpha\in[0,\infty)$ by a cross entropy interpretation of R{\'{e}}nyi entropy. While R\'{e}nyi entropy was originally defined as an $f$-mean for $f(t) = \exp((1-\alpha)t)$, we reveal that it is als
Externí odkaz:
http://arxiv.org/abs/2401.15202
Autor:
Courdier, Rémy
R{\'e}union is a European island in the heart of the Indian Ocean, far from the resources of mainland France. It's an island rich in diversity, and faces a number of societal challenges. Many players are working together to support the transformation
Externí odkaz:
http://arxiv.org/abs/2402.03321