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An Introduction to Logical Entropy and its Relation to Shannon Entropy
partition logic logical entropy Shannon entropy information as distinctions
2016/6/13
The logical basis for information theory is the newly developed logic of partitions that is dual to the usual Boolean logic of subsets. The key concept is a "distinction" of a partition, an ordered pa...
A Comprehensive Comparison of Shannon Entropy and Smooth Renyi Entropy
Entropy Estimators Smooth Entropy Randomness Extractors
2016/1/5
We provide a new result that links two crucial entropy notions: Shannon entropy H1 and collision entropy H2. Our formula gives the \emph{worst possible} amount of collision entropy in a probability di...
How much randomness can be extracted from memoryless Shannon entropy sources?
Shannon Entropy Randomness Extractors AEP
2015/12/29
We revisit the classical problem: given a memoryless source
having a certain amount of Shannon Entropy, how many random bits can
be extracted? This question appears in works studying random number
...
Rapid urban growth in the city of Duhok, Iraqi Kurdistan Region: An integrated approach of GIS, Remote Sensing and Shannon Entropy application
GIS remote sensing Landsat TM Urban sprawl Shannon entropy
2014/11/17
Duhok, a mountainous city in Kurdistan Region of Iraq, has witnessed rapid urban growth over
the past decade due to population growth and economic improvements. These factors have
placed a great p...
Probe combination in large galaxy surveys : Application of Fisher information and Shannon entropy to weak lensing
cosmology: cosmological parameters cosmology: large-scale structure of the Universe methods: data analysis methods: statistical
2011/9/27
This paper is aimed at developing a better understanding of the structure of the information that in contained in galaxy surveys, so as to find optimal ways to combine observables from such surveys. W...
Shannon entropy for the Feller-Pareto (FP) family and order statistics of FP subfamilies
Burr distribution Entropy Feller-Pareto distribution
2010/9/20
In this paper, we derive the exact analytical expressions of entropy for the FellerPareto(FP) family and order statistics of FP subfamilies. The FP family is a very general unimodal distribution which...
Non-equilibrium steady states : maximization of the Shannon entropy associated to the distribution of dynamical trajectories in the presence of constraints
Non-equilibrium steady states Shannon entropy distribution of dynamical trajectories
2010/11/18
Filyokov and Karpov [Inzhenerno-Fizicheskii Zhurnal 13, 624 (1967)] have proposed a theory of
non-equilibrium steady states in direct analogy with the theory of equilibrium states : the principle is ...
The Boltzmann/Shannon entropy as a measure of correlation
The Boltzmann/Shannon entropy correlation
2010/11/1
IIt is demonstrated that the entropy of statistical mechanics and of information theory, $S({\bf p}) = -\sum p_i \log p_i $ may be viewed as a measure of correlation. Given a probability distribution...