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Volume 28

2019 Next

Publication date: 2019

Licence: CC BY-NC-ND  licence icon

Editorial team

Editor-in-Chief Stanisław Migórski

Deputy Editor-in-Chief Andrzej Bielecki

Secretary Krzysztof Misztal

Issue content

Mateusz Przybylski

Schedae Informaticae, Volume 28, 2019, pp. 9 - 24

https://doi.org/10.4467/20838476SI.19.001.14284

In this note we present theory which facilitates the use of Conley index algorithms for cubical multivalued maps constructed from maximal dimensional cubes in the setting when cubes of arbitrary dimension are permitted.

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Przemysław Spurek, Przemysław Rola, Jacek Tabor, Aleksander Czechowski, Andrzej Bedychaj

Schedae Informaticae, Volume 28, 2019, pp. 25 - 47

https://doi.org/10.4467/20838476SI.19.002.14379

Independent Component Analysis (ICA) is a method for searching the linear transformation that minimizes the statistical dependence between its components. Most popular ICA methods use kurtosis as a metric of independence (non-Gaussianity) to maximize, such as FastICA and JADE. However, their assumption of fourth-order moment (kurtosis) may not always be satisfied in practice. One of the possible solution is to use third-order moment (skewness)  instead of kurtosis, which was applied in ICA_SG and EcoICA. In this paper we present a competitive approach to ICA based on the Split Generalized Gaussian distribution (SGGD), which is well adapted to heavy-tailed as well as asymmetric data. Consequently, we obtain a method which works better than the classical approaches, in both cases: heavy tails and non-symmetric data.

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