Point Information Gain and Multidimensional Data Analysis
classification
⚛️ physics.data-an
keywords
informationpointdataentropyanalysisgainmultidimensionalpied
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We generalize the Point information gain (PIG) and derived quantities, i.e. Point information entropy (PIE) and Point information entropy density (PIED), for the case of R\'enyi 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 possible further utilization in other fields of data processing.
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