نتایج جستجو برای: information entropy theory

تعداد نتایج: 1867273  

2008
Shigeru Furuichi

Shannon entropy [1] is one of fundamental quantities in classical information theory and uniquely determinded by the Shannon-Khinchin axiom or the Faddeev axiom. One-parameter extensions for Shannon entropy have been studied by many researchers. The Rényi entropy [2] and the Tsallis entropy [3] are famous. In the paper [4], the uniqueness theorem for the Tsallis entropy was proved. Also, in our...

Journal: :CoRR 2008
Shigeru Furuichi

Shannon entropy [1] is one of fundamental quantities in classical information theory and uniquely determinded by the Shannon-Khinchin axiom or the Faddeev axiom. Oneparameter extensions for Shannon entropy have been studied by many researchers [2]. The Rényi entropy [3] and the Tsallis entropy [4] are famous. In the paper [5], the uniqueness theorem for the Tsallis entropy was proven. See also ...

Journal: :Entropy 2017
Vijay P. Singh Bellie Sivakumar Huijuan Cui

Water engineering is an amalgam of engineering (e.g., hydraulics, hydrology, irrigation, ecosystems, environment, water resources) and non-engineering (e.g., social, economic, political) aspects that are needed for planning, designing and managing water systems. These aspects and the associated issues have been dealt with in the literature using different techniques that are based on different ...

2008
Oliver Johnson Christophe Vignat

English abstract: We consider the Student-t and Student-r distributions, which maximise Rényi entropy under a covariance condition. We show that they have information-theoretic properties which mirror those of the Gaussian distributions, which maximise Shannon entropy under the same condition. We introduce a convolution which preserves the Rényi maximising family, and show that the Rényi maximi...

Journal: :CoRR 2015
Giancarlo Pastor Inmaculada Mora-Jim'enez Riku Jantti Antonio J. Caamano

Sparsity and entropy are pillar notions of modern theories in signal processing and information theory. However, there is no clear consensus among scientists on the characterization of these notions. Previous efforts have contributed to understand individually sparsity or entropy from specific research interests. This paper proposes a mathematical formalism, a joint axiomatic characterization, ...

Journal: :Entropy 2017
Carlos Granero-Belinchon Stéphane G. Roux Patrice Abry Muriel Doret Nicolas B. Garnier

Intrapartum fetal heart rate (FHR) monitoring constitutes a reference tool in clinical practice to assess the baby’s health status and to detect fetal acidosis. It is usually analyzed by visual inspection grounded on FIGO criteria. Characterization of intrapartum fetal heart rate temporal dynamics remains a challenging task and continuously receives academic research efforts. Complexity measure...

2014
Yi-Ling Chung Chung-Ching Wang Hsueh-Chih Chen Jon-Fan Hu

One of the obstacles to fully ensure the semantic contents of words is how to grab the meanings of a word from various probabilities it associates with other words. According to Shannon’s (1948) information theory, entropy can provide indications of amount of information and extent of uncertainty of a given variable by calculating the probability distributions of event occurrence. Therefore, en...

Journal: :Entropy 2016
Dayi He Jiaqiang Xu Xiaoling Chen

Weight aggregation is the key process to solve a multiple-attribute group decision-making (MAGDM) problem. This paper is trying to propose a possible approach to objectivize subjective information and to aggregate information from attribute values themselves and decision-makers’ judgment. An MAGDM problem without information about decision-makers’ and attributes’ weight is considered. In order ...

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