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...

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Bibliographic Details
Main Authors: Renata Rychtáriková, Jan Korbel, Petr Macháček, Petr Císař, Jan Urban, Dalibor Štys
Format: Article
Language:English
Published: MDPI AG 2016-10-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/18/10/372
Description
Summary: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.
ISSN:1099-4300