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Petr Macháček

Publications and source records attributed to Petr Macháček.

2 recordsLinked to original sources

Point Divergence Gain and Multidimensional Data Sequences Analysis

We introduce novel information-entropic variables -- a Point Divergence Gain ($Ω^{(l \rightarrow m)}_α$), a Point Divergence Gain Entropy ($I_α$), and a Point Divergence Gain Entropy Density ($P_α$) -- which are derived from the Rényi entropy and describe spatio-temporal changes between two consecutive discrete multidimensional distributions. The behavior of $Ω^{(l \rightarrow m)}_α$ is simulated for typical distributions and, together with $I_α$ and $P_α$, applied in analysis and characterization of series of multidimensional datasets of computer-based and real images.

physics.data-an↗

Point Information Gain and Multidimensional Data Analysis

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 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 possible further utilization in other fields of data processing.

physics.data-an↗