Point Information Gain and Multidimensional Data Analysis

Renata Rychtáriková; Jan Korbel; Petr Macháček; Petr Císař; Jan Urban; Dalibor Štys

doi:10.20944/preprints201610.0067.v1

Submitted:

16 October 2016

Posted:

17 October 2016

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Point Information Gain and Multidimensional Data Analysis

Renata Rychtáriková^*

,Jan Korbel

,Petr Macháček,Petr Císař,Jan Urban,Dalibor Štys^*

Renata Rychtáriková^*

,Jan Korbel

,Petr Macháček,Petr Císař,Jan Urban,Dalibor Štys^*

A peer-reviewed article of this preprint also exists.

Submitted:

16 October 2016

Posted:

17 October 2016

You are already at the latest version

Abstract

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 on the example of several images, and discuss further possible utilizations in other fields of data processing.

Keywords:

point information gain

;

Rényi entropy

;

data processing

Subject:

Computer Science and Mathematics - Applied Mathematics

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