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A new uncertainty measure via belief Rényi entropy in Dempster-Shafer theory and its application to decision making

Communications in Statistics - Theory and Methods, 2023
Dempster-Shafer theory (DST) has attracted wide attention in many fields thanks to its strong advantages over probability theory. Whereas the uncertainty measure of basic belief assignment (BBA) in DST is an open and essential problem.
Zhe Liu   +3 more
semanticscholar   +1 more source

Deep Rényi entropy graph kernel

Pattern Recognition, 2021
Graph kernels are applied heavily for the classification of structured data. In this paper, we propose a deep Renyi entropy graph kernel for this purpose.
Lixiang Xu   +5 more
semanticscholar   +1 more source

A generalization of Rényi entropy for basic probability assignment

Communications in Statistics - Theory and Methods, 2022
To measure the uncertainty of basic probability assignment (BPA) in the field of evidence theory is an open issue. The Rényi entropy, a continuous family of entropy measures, is extended from the Shannon entropy and has been widely applied in many fields.
Ran Yu, Yong Deng
semanticscholar   +1 more source

Reversal of Rényi Entropy Inequalities Under Log-Concavity

IEEE Transactions on Information Theory, 2020
We establish a discrete analog of the Rényi entropy comparison due to Bobkov and Madiman. For log-concave variables on the integers, the min entropy is within $\log e$ of the usual Shannon entropy.
J. Melbourne, T. Tkocz
semanticscholar   +1 more source

A new information dimension of complex network based on Rényi entropy

Physica A: Statistical Mechanics and its Applications, 2019
With the development of high technology and artificial intelligence, it evolves into an open issue to calculate the dimension of the complex network. In this paper, a new dimension — Renyi dimension, combined with Renyi entropy and information dimension ...
Shuyu Duan, Tao Wen, Wen Jiang
semanticscholar   +1 more source

Mutual information matrix based on Rényi entropy and application

Nonlinear dynamics, 2022
Javier E. Contreras‐Reyes
semanticscholar   +1 more source

Further Investigations of Rényi Entropy Power Inequalities and an Entropic Characterization of s-Concave Densities

Lecture notes in mathematics, 2019
We investigate the role of convexity in Renyi entropy power inequalities. After proving that a general Renyi entropy power inequality in the style of Bobkov and Chistyakov (IEEE Trans Inform Theory 61(2):708–714, 2015) fails when the Renyi parameter r ∈ (
Jiange Li   +2 more
semanticscholar   +1 more source

High-entropy ceramics: Review of principles, production and applications

Materials Science and Engineering Reports, 2021
Saeid Akrami   +2 more
exaly  

A review on the dynamic-mechanical behaviors of high-entropy alloys

Progress in Materials Science, 2023
Ruixin Wang   +2 more
exaly  

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