2008 · 22 citations · 23 references
Shannon EntropyEngineeringInformation TheoryData ScienceEntropyPattern RecognitionEntropy ProductionIntegrable ProbabilityRenyi EntropyProbability TheoryComputer ScienceStatistical Pattern RecognitionSignal ProcessingSimulation ExamplesPattern Recognition Application
We introduce Renyi Entropy in this paper and review the basic associated properties that differentiate Renyi Entropy from Shannon Entropy. Theoretic and simulation examples are used to illustrate the differences between the two entropies. We suggest several potential applications of Renyi Entropy to such areas as spectral estimation and pattern recognition.
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A Mathematical Theory of Communication
Claude E. Shannon · Bell System Technical Journal · 1948 · 78.4K citations
Possible generalization of Boltzmann-Gibbs statistics
Constantino Tsallis · Journal of Statistical Physics · 1988 · 9.3K citations
Characterization of Strange Attractors
Peter Grassberger, Itamar Procaccia · Physical Review Letters · 1983 · 4.8K citations
On Measures of Entropy and Information
A. Rényi · Project Euclid (Cornell University) · 1961 · 4K citations