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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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Refinement of Jensen’s inequality and estimation of f- and Rényi divergence via Montgomery identity [PDF]
Journal of Inequalities and Applications, 2018 Jensen’s inequality is important for obtaining inequalities for divergence between probability distribution. By applying a refinement of Jensen’s inequality (Horváth et al. in Math. Inequal. Appl.
Khuram Ali Khan +3 more
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Economics of Disagreement—Financial Intuition for the Rényi Divergence [PDF]
Entropy, 2020 Disagreement is an essential element of science and life in general. The language of probabilities and statistics is often used to describe disagreements quantitatively. In practice, however, we want much more than that.
Andrei N. Soklakov
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Entropy, 2019 Two families of dependence measures between random variables are introduced. They are based on the Rényi divergence of order α and the relative
Amos Lapidoth, Christoph Pfister
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Optimum Achievable Rates in Two Random Number Generation Problems with f-Divergences Using Smooth Rényi Entropy [PDF]
EntropyTwo typical fixed-length random number generation problems in information theory are considered for general sources. One is the source resolvability problem and the other is the intrinsic randomness problem.
Ryo Nomura, Hideki Yagi
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Defining quantum divergences via convex optimization [PDF]
Quantum, 2021 We introduce a new quantum Rényi divergence $D^{\#}_{\alpha}$ for $\alpha \in (1,\infty)$ defined in terms of a convex optimization program. This divergence has several desirable computational and operational properties such as an efficient semidefinite ...
Hamza Fawzi, Omar Fawzi
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Fuzzy Clustering Methods with Rényi Relative Entropy and Cluster Size
Mathematics, 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.
Javier Bonilla +3 more
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Journal of Inequalities and Applications, 2023 In this paper, four new Green functions are used to generalize Levinson-type inequalities for the class of 3-convex functions. The f-divergence, Renyi entropy, Renyi divergence, Shannon entropy, and the Zipf–Mandelbrot law are also used to apply the main
Awais Rasheed +3 more
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Rényi divergences from Euclidean quenches
Journal of High Energy Physics, 2020 We study the generalisation of relative entropy, the Rényi divergence D α (ρ∥ρ β ) in 2d CFTs between an excited state density matrix ρ, created by deforming the Hamiltonian, and the thermal density matrix ρ β .
Barsha G. Chowdhury +2 more
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Measuring Bayesian Robustness Using Rényi Divergence
Stats, 2021 This paper deals with measuring the Bayesian robustness of classes of contaminated priors. Two different classes of priors in the neighborhood of the elicited prior are considered.
Luai Al-Labadi +2 more
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