Point Information Gain and Multidimensional Data Analysis
Renata Rychtáriková,
Jan Korbel,
Petr Macháček,
Petr Císař,
Jan Urban,
Dalibor Štys
Affiliations
Renata Rychtáriková
Institute 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 Republic
Jan Korbel
Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Břehová 7, Prague 155 19, Czech Republic
Petr Macháček
Institute 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 Republic
Petr Císař
Institute 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 Republic
Jan Urban
Institute 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 Republic
Dalibor Štys
Institute 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 Republic
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.
