Point Information Gain and Multidimensional Data Analysis
We generalize the point information gain (PIG) and derived quantities, i.e., point information gain entropy (PIE) and point information gain entropy density (PIED), for the case of the Rényi entropy and simulate the behavior of PIG for typical distributions. We also use these methods for the analysi...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2016-10-01
|
| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/18/10/372 |
| _version_ | 1811297677569163264 |
|---|---|
| author | Renata Rychtáriková Jan Korbel Petr Macháček Petr Císař Jan Urban Dalibor Štys |
| author_facet | Renata Rychtáriková Jan Korbel Petr Macháček Petr Císař Jan Urban Dalibor Štys |
| author_sort | Renata Rychtáriková |
| collection | DOAJ |
| description | We generalize the point information gain (PIG) and derived quantities, i.e., point information gain entropy (PIE) and point information gain entropy density (PIED), for the case of the Rényi entropy and simulate the behavior of PIG for typical distributions. We also use these methods for the analysis of multidimensional datasets. We demonstrate the main properties of PIE/PIED spectra for the real data with the examples of several images and discuss further possible utilizations in other fields of data processing. |
| first_indexed | 2024-04-13T06:08:34Z |
| format | Article |
| id | doaj.art-15d9578b60f543c1962116874dbda5d8 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-13T06:08:34Z |
| publishDate | 2016-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-15d9578b60f543c1962116874dbda5d82022-12-22T02:59:09ZengMDPI AGEntropy1099-43002016-10-01181037210.3390/e18100372e18100372Point Information Gain and Multidimensional Data AnalysisRenata Rychtáriková0Jan Korbel1Petr Macháček2Petr Císař3Jan Urban4Dalibor Štys5Institute of Complex Systems, South Bohemian Research Center of Aquaculture and Biodiversity of Hydrocenoses, Faculty of Fisheries and Protection of Waters (FFWP), University of South Bohemia in České Budějovice, Zámek 136, Nové Hrady 373 33, Czech RepublicFaculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Břehová 7, Prague 155 19, Czech RepublicInstitute of Complex Systems, South Bohemian Research Center of Aquaculture and Biodiversity of Hydrocenoses, Faculty of Fisheries and Protection of Waters (FFWP), University of South Bohemia in České Budějovice, Zámek 136, Nové Hrady 373 33, Czech RepublicInstitute of Complex Systems, South Bohemian Research Center of Aquaculture and Biodiversity of Hydrocenoses, Faculty of Fisheries and Protection of Waters (FFWP), University of South Bohemia in České Budějovice, Zámek 136, Nové Hrady 373 33, Czech RepublicInstitute of Complex Systems, South Bohemian Research Center of Aquaculture and Biodiversity of Hydrocenoses, Faculty of Fisheries and Protection of Waters (FFWP), University of South Bohemia in České Budějovice, Zámek 136, Nové Hrady 373 33, Czech RepublicInstitute of Complex Systems, South Bohemian Research Center of Aquaculture and Biodiversity of Hydrocenoses, Faculty of Fisheries and Protection of Waters (FFWP), University of South Bohemia in České Budějovice, Zámek 136, Nové Hrady 373 33, Czech RepublicWe generalize the point information gain (PIG) and derived quantities, i.e., point information gain entropy (PIE) and point information gain entropy density (PIED), for the case of the Rényi entropy and simulate the behavior of PIG for typical distributions. We also use these methods for the analysis of multidimensional datasets. We demonstrate the main properties of PIE/PIED spectra for the real data with the examples of several images and discuss further possible utilizations in other fields of data processing.http://www.mdpi.com/1099-4300/18/10/372point information gain (PIG)Rényi entropydata processing |
| spellingShingle | Renata Rychtáriková Jan Korbel Petr Macháček Petr Císař Jan Urban Dalibor Štys Point Information Gain and Multidimensional Data Analysis Entropy point information gain (PIG) Rényi entropy data processing |
| title | Point Information Gain and Multidimensional Data Analysis |
| title_full | Point Information Gain and Multidimensional Data Analysis |
| title_fullStr | Point Information Gain and Multidimensional Data Analysis |
| title_full_unstemmed | Point Information Gain and Multidimensional Data Analysis |
| title_short | Point Information Gain and Multidimensional Data Analysis |
| title_sort | point information gain and multidimensional data analysis |
| topic | point information gain (PIG) Rényi entropy data processing |
| url | http://www.mdpi.com/1099-4300/18/10/372 |
| work_keys_str_mv | AT renatarychtarikova pointinformationgainandmultidimensionaldataanalysis AT jankorbel pointinformationgainandmultidimensionaldataanalysis AT petrmachacek pointinformationgainandmultidimensionaldataanalysis AT petrcisar pointinformationgainandmultidimensionaldataanalysis AT janurban pointinformationgainandmultidimensionaldataanalysis AT daliborstys pointinformationgainandmultidimensionaldataanalysis |