Point Divergence Gain and Multidimensional Data Sequences Analysis
We introduce novel information-entropic variables—a Point Divergence Gain ( Ω α ( l → m ) ), a Point Divergence Gain Entropy ( I α ), and a Point Divergence Gain Entropy Density ( P α )—which are derived from the Rényi entropy and describe spatio-temporal changes between two cons...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-02-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/20/2/106 |
| _version_ | 1798006319565766656 |
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| author | Renata Rychtáriková Jan Korbel Petr Macháček Dalibor Štys |
| author_facet | Renata Rychtáriková Jan Korbel Petr Macháček Dalibor Štys |
| author_sort | Renata Rychtáriková |
| collection | DOAJ |
| description | We introduce novel information-entropic variables—a Point Divergence Gain ( Ω α ( l → m ) ), a Point Divergence Gain Entropy ( I α ), and a Point Divergence Gain Entropy Density ( P α )—which are derived from the Rényi entropy and describe spatio-temporal changes between two consecutive discrete multidimensional distributions. The behavior of Ω α ( l → m ) is simulated for typical distributions and, together with I α and P α , applied in analysis and characterization of series of multidimensional datasets of computer-based and real images. |
| first_indexed | 2024-04-11T12:54:05Z |
| format | Article |
| id | doaj.art-7cf8a26ec8184055be2bae8d1502117b |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T12:54:05Z |
| publishDate | 2018-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-7cf8a26ec8184055be2bae8d1502117b2022-12-22T04:23:08ZengMDPI AGEntropy1099-43002018-02-0120210610.3390/e20020106e20020106Point Divergence Gain and Multidimensional Data Sequences AnalysisRenata Rychtáriková0Jan Korbel1Petr Macháček2Dalibor Štys3Institute of Complex Systems, South Bohemian Research Center of Aquaculture and Biodiversity of Hydrocenoses, Kompetenzzentrum MechanoBiologie in Regenerativer Medizin, Faculty of Fisheries and Protection of Waters, University of South Bohemia in České Budějovice, Zámek 136, 373 33 Nové Hrady, Czech RepublicSection for Science of Complex Systems, CeMSIIS, Medical University of Vienna, Spitalgasse 23, 1090 Vienna, AustriaInstitute of Complex Systems, South Bohemian Research Center of Aquaculture and Biodiversity of Hydrocenoses, Kompetenzzentrum MechanoBiologie in Regenerativer Medizin, Faculty of Fisheries and Protection of Waters, University of South Bohemia in České Budějovice, Zámek 136, 373 33 Nové Hrady, Czech RepublicInstitute of Complex Systems, South Bohemian Research Center of Aquaculture and Biodiversity of Hydrocenoses, Kompetenzzentrum MechanoBiologie in Regenerativer Medizin, Faculty of Fisheries and Protection of Waters, University of South Bohemia in České Budějovice, Zámek 136, 373 33 Nové Hrady, Czech RepublicWe introduce novel information-entropic variables—a Point Divergence Gain ( Ω α ( l → m ) ), a Point Divergence Gain Entropy ( I α ), and a Point Divergence Gain Entropy Density ( P α )—which are derived from the Rényi entropy and describe spatio-temporal changes between two consecutive discrete multidimensional distributions. The behavior of Ω α ( l → m ) is simulated for typical distributions and, together with I α and P α , applied in analysis and characterization of series of multidimensional datasets of computer-based and real images.http://www.mdpi.com/1099-4300/20/2/106point divergence gain (PDG)Rényi entropydata processing |
| spellingShingle | Renata Rychtáriková Jan Korbel Petr Macháček Dalibor Štys Point Divergence Gain and Multidimensional Data Sequences Analysis Entropy point divergence gain (PDG) Rényi entropy data processing |
| title | Point Divergence Gain and Multidimensional Data Sequences Analysis |
| title_full | Point Divergence Gain and Multidimensional Data Sequences Analysis |
| title_fullStr | Point Divergence Gain and Multidimensional Data Sequences Analysis |
| title_full_unstemmed | Point Divergence Gain and Multidimensional Data Sequences Analysis |
| title_short | Point Divergence Gain and Multidimensional Data Sequences Analysis |
| title_sort | point divergence gain and multidimensional data sequences analysis |
| topic | point divergence gain (PDG) Rényi entropy data processing |
| url | http://www.mdpi.com/1099-4300/20/2/106 |
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