109 citations · 636 across the 74 of their papers we have counts for
6 papers · 1 filter
Detection of elliptical shapes via cross-entropy clustering
Jacek Tabor, Krzysztof Misztal
The problem of finding elliptical shapes in an image will be considered. We discuss the solution which uses cross-entropy clustering. The proposed method allows the search for elli…
Strict localization of eigenvectors and eigenvalues
Łukasz Struski, Jacek Tabor
In this article we show and implement a simple and effcient method to strictly locate eigenvectors and eigenvalues of a given matrix, based on the modified cone condition. As a con…
Cross-Entropy Clustering
Przemysław Spurek, Jacek Tabor
We construct a cross-entropy clustering (CEC) theory which finds the optimal number of clusters by automatically removing groups which carry no information. Moreover, our theory gi…
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…
The memory centre
Przemysław Spurek, Jacek Tabor
Let be given. As we know the, amount of bits needed to binary code with given accuracy () is approximately $ \m_{h}(x) \approx \log_{2}(\max {1, |\frac{x}{…
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…