Abstract | ||
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In this letter, fractional calculus is used to propose the fractional entropy (FE) and the fractional mutual information (FMI) as the new forms of the information measure in a generalized Euclidean metric space. Being position-related and causal, FE and FMI are natural extensions and more generalized forms of Shannon entropy and mutual information, respectively. |
Year | DOI | Venue |
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2012 | 10.1016/j.ipl.2012.08.019 | Inf. Process. Lett. |
Keywords | Field | DocType |
generalized euclidean metric space,information measure,fractional mutual information,mutual information,shannon entropy,generalized form,new form,natural extension,fractional entropy,fractional calculus,entropy,randomized algorithms | Discrete mathematics,Transfer entropy,Joint quantum entropy,Quantum mutual information,Pure mathematics,Information diagram,Mutual information,Joint entropy,Fractional calculus,Entropy (information theory),Calculus,Mathematics | Journal |
Volume | Issue | ISSN |
112 | 23 | 0020-0190 |
Citations | PageRank | References |
2 | 0.40 | 5 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Shiwei Yu | 1 | 68 | 9.54 |
T. Z. Huang | 2 | 115 | 18.95 |
Xiaoyun Liu | 3 | 49 | 7.10 |
Wufan Chen | 4 | 511 | 59.06 |