74 citations · 272 across the 40 of their papers we have counts for
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Weighted Approach to General Entropy Function
Marek Śmieja
The definition of weighted entropy allows for easy calculation of the entropy of the mixture of measures. In this paper we investigate the problem of equivalent definition of the g…
Weighted Approach to Rényi Entropy
Marek Śmieja, Jacek Tabor
Rényi entropy of order αis a general measure of entropy. In this paper we derive estimations for the Rényi entropy of the mixture of sources in terms of the entropy of the single s…
Partition Reduction for Lossy Data Compression Problem
Marek Śmieja, Jacek Tabor
We consider the computational aspects of lossy data compression problem, where the compression error is determined by a cover of the data space. We propose an algorithm which reduc…
Entropy of the Mixture of Sources and Entropy Dimension
Marek Smieja, Jacek Tabor
We investigate the problem of the entropy of the mixture of sources. There is given an estimation of the entropy and entropy dimension of convex combination of measures. The proof…